unkrainianamerican folklore essays

unkrainianamerican folklore essays Purposes of Ukrainian-American Folklore The relatively large Ukrainian community in the United States has many traditions and customs, most of which stem from a feeling of Ukrainian nationalism. As Ukraine was being overtaken by Russia, Ukrainians were immigrating by the thousands to the US. Ukrainians moving to the new world were leaving behind a disappearing culture and moving to a completely different land. Immigrants were proud of their heritage, and many of the traditions that were started in America exist to preserve this heritage and to pass it on to future generations. The Ukrainian Boy Scouting program is one such tradition. Ukrainians in America started this program in the early 1900s to train their young to return to Ukraine and drive the Russians out. This began as resistance to Russian rule over Ukraine. All boys and girls participate in this intermittently throughout the year, starting at age seven and continuing for life. Ukrainian Boy Scouts is very different from the typical American view of Boy Scouts, in that it involves a more rigorous wilderness-training program. This is because the program was essentially started as a military training program, and although it exists now only for fun and tradition, many of the subjects and ideas taught to the youths remain the same. People who are involved in the program put their children through it, as an attempt to preserve Ukrainian culture. When Ukrainians turn eighteen they become counselors, and at age thirty-five they become seniors and run the program. This program, along with a handful of similar programs, was started for various reasons. To begin with, Ukrainian youths had trouble adjusting to American society. They (Ukrainian youth programs) are helping to solve some of the social problems of the second generation that does not seem to be able to find its way into American society or does not feel at home there. ...

Biography of General Dwight D. Eisenhower

Biography of General Dwight D. Eisenhower Dwight David Eisenhower (October 14, 1890–March 28, 1969) was a decorated war hero, having participated in two World Wars, holding many titles. After retiring from active duty, he entered politics and served as president of the United States from 1953–1961. Fast Facts: Dwight D. Eisenhower Known For: General of the Army in World War II, U.S. President from 1953–1961Born: October 14, 1890 in Denison, TexasParents: David Jacob and Ida Stover EisenhowerDied: March 28, 1969 in Gettysburg, PennsylvaniaEducation: Abilene High School, West Point Naval Academy (1911–1915), Command and General Staff College at Fort Leavenworth, Kansas (1925–1926)Spouse: Marie Mamie Geneva Doud (m. July 1, 1916)Children: Doud Dwight (1917–1921) and John Sheldon Doud Eisenhower (1922–2013) Early Life Dwight David Eisenhower was the third son of David Jacob and Ida Stover Eisenhower. Moving to Abilene, Kansas in 1892, Eisenhower spent his childhood in the town and later attended Abilene High School. Graduating in 1909, he worked locally for two years to aid in paying his older brothers college tuition. In 1911, Eisenhower took and passed the admission exam for the U.S. Naval Academy but was turned down due to being too old. Turning to West Point, he succeeded in gaining an appointment with the aid of Senator Joseph L. Bristow. Though his parents were pacifists, they supported his choice as it would give him a good education. West Point Though born David Dwight, Eisenhower had gone by his middle name for most of his life. Arriving at West Point in 1911, he officially changed his name to Dwight David. A member of a star-studded class that would ultimately produce 59 generals, including Omar Bradley, Eisenhower was a solid student and graduated 61st in a class of 164. While at the academy, he also proved a gifted athlete until having his career cut short by a knee injury. Completing his education, Eisenhower graduated in 1915 and was assigned to the infantry. Eisenhower married Marie Mamie Geneva Doud on July 1, 1916. They had two sons, Doud Dwight (1917–1921), who died of scarlet fever as a child, and the historian and ambassador John Sheldon Doud Eisenhower (1922–2013).   World War I Moving through postings in Texas and Georgia, Eisenhower showed skills as an administrator and trainer. With the American entry into World War I in April 1917, he was retained in the United States and assigned to the new tank corps. Posted to Gettysburg, Pennsylvania, Eisenhower spent the war training tank crews for service on the Western Front. Though he reached the temporary rank of lieutenant colonel, he reverted to the rank of captain following the wars end in 1918. Ordered to Fort Meade, Maryland, Eisenhower continued to work in armor and conversed on the topic with Captain George S. Patton. Interwar Years In 1922, with the rank of major, Eisenhower was assigned to the Panama Canal Zone to serve as executive officer to Brigadier General Fox Connor. Recognizing his XOs abilities, Connor took a personal interest in Eisenhowers military education and devised an advanced course of study. In 1925, he assisted Eisenhower in securing admission to the Command and General Staff College at Fort Leavenworth, Kansas. Graduating first in his class a year later, Eisenhower was posted as a battalion commander at Fort Benning, Georgia. After a short assignment with the American Battle Monuments Commission, under General John J. Pershing, he returned to Washington, D.C. as executive officer to Assistant Secretary of War General George Mosely. Known as an excellent staff officer, Eisenhower was selected as an aide by U.S. Army Chief of Staff General Douglas MacArthur. When MacArthurs term ended in 1935, Eisenhower followed his superior to the Philippines to serve as a military advisor to the Filipino government. Promoted to lieutenant colonel in 1936, Eisenhower began to clash with MacArthur on military and philosophical topics. Opening a rift that would last the remainder of their lives, the arguments led Eisenhower to return to Washington in 1939 and take a series of staff positions. In June 1941, he became chief of staff to 3rd Army commander Lieutenant General Walter Krueger and was promoted to brigadier general that September. World War II Begins With the U.S. entry into World War II after the attack on Pearl Harbor, Eisenhower was assigned to the General Staff in Washington where he devised war plans for defeating Germany and Japan. Becoming Chief of the War Plans Division, he was soon elevated to Assistant Chief of Staff overseeing the Operations Division under Chief of Staff General George C. Marshall. Though he had never led large formations in the field, Eisenhower soon impressed Marshall with his organizational and leadership skills. As a result, Marshall appointed him commander of the European Theater of Operations (ETOUSA) on June 24, 1942. This was soon followed by a promotion to lieutenant general. North Africa Based in London, Eisenhower soon was also made Supreme Allied Commander of the North African Theater of Operations (NATOUSA). In this role, he oversaw the Operation Torch landings in North Africa that November. As Allied troops drove Axis forces into Tunisia, Eisenhowers mandate was expanded east to include General Sir Bernard Montgomerys British 8th Army which had advanced west from Egypt. Promoted to general on February 11, 1943, he led the Tunisian Campaign to successful a conclusion that May. Remaining in the Mediterranean, Eisenhowers command was redesignated the Mediterranean Theater of Operations. Crossing to Sicily, he directed the invasion of the island in July 1943 before planning for landings in Italy. Return to Britain After landing in Italy in September 1943, Eisenhower guided the initial stages of the advance up the peninsula. In December, President Franklin D. Roosevelt, who was unwilling to allow Marshall to leave Washington, directed that Eisenhower be made Supreme Allied Commander of the Allied Expeditionary Force (SHAEF) which would place him in charge of the planned landings in France. Confirmed in this role in February 1944, Eisenhower oversaw operational control of Allied forces through SHAEF and administrative control of U.S. forces through ETOUSA. Headquartered in London, Eisenhowers post required extensive diplomatic and political skill as he endeavored to coordinate Allied efforts. Having gained experience in coping with challenging personalities while serving under MacArthur and commanding Patton and Montgomery in the Mediterranean, he was well-suited to dealing with difficult Allied leaders like Winston Churchill and Charles de Gaulle. Western Europe After extensive planning, Eisenhower moved forward with the invasion of Normandy (Operation Overlord) on June 6, 1944. Successful, his forces broke out of the beachhead  in July and began driving across France. Though he clashed with Churchill over strategy, such as the British-opposed Operation Dragoon landings in Southern France, Eisenhower worked to balance Allied initiatives and approved Montgomerys Operation Market-Garden in September. Pushing east in December, Eisenhowers biggest crisis of the campaign came with the opening of the Battle of the Bulge on Dec. 16. With German forces breaking through the Allied lines, Eisenhower quickly worked to seal the breach and contain the enemy advance. Over the next month, Allied troops halted the enemy and drove them back to their original lines with heavy losses. During the fighting, Eisenhower was promoted to General of the Army. Leading the final drives into Germany, Eisenhower coordinated with his Soviet counterpart, Marshal Georgy Zhukov and, at times, directly with Premier Joseph Stalin. Aware that Berlin would fall in the Soviet occupation zone after the war, Eisenhower halted Allied troops at the Elbe River rather than suffer heavy losses taking an  objective that would be lost after the end of fighting. With the surrender of Germany on May 8, 1945, Eisenhower was named Military Governor of the U.S. Occupation Zone. As governor, he worked to document Nazi atrocities, deal with food shortages, and aid refugees. Later Career Returning to the United States that fall, Eisenhower was greeted as a hero. Made Chief of Staff on Nov. 19, he replaced Marshall and remained in this post until Feb. 6, 1948. A key responsibility during his tenure was overseeing the rapid downsizing of the Army after the war. Departing in 1948, Eisenhower became president of Columbia University. While there, he worked to expand his political and economic knowledge, as well as wrote his memoir Crusade in Europe. In 1950, Eisenhower was recalled to be the Supreme Commander of the North Atlantic Treaty Organization. Serving until May 31, 1952, he retired from active duty and returned to Columbia. Entering politics, Eisenhower ran for president that fall with Richard Nixon as his running mate. Winning in a landslide, he defeated Adlai Stevenson. A moderate Republican, Eisenhowers eight years in the White House were marked by the end of the Korean War, efforts to contain Communism, construction of the instate highway system, nuclear deterrence, founding of NASA, and economic prosperity. Leaving office in 1961, Eisenhower retired to his farm in Gettysburg, Pennsylvania. He lived in Gettysburg with his wife, Mamie (m. 1916) until his death from heart failure on March 28, 1969. Following funeral services in Washington, Eisenhower was buried in Abilene, Kansas at the Eisenhower Presidential Library.

Assignment 9 Coursework Example | Topics and Well Written Essays - 500 words

Assignment 9 - Coursework Example The company embraced diversity from the selection and recruitment process. All applicants were screened not withstanding their physical ability, education, religion, race, age, or cultural background (Erickson 01). All employees were treated equally during promotions and in the awarding of other fringe benefits. Moreover, the company had non-punitive policies that dealt with conflicts arising from employees with different backgrounds and points of view. Exclusive discriminatory groups were highly outlawed and the management momentously discouraged employees from forming such groups (Gröschl 68). Moreover, the company initiated an all-inclusive and wide-ranging employee-training program for its community and corporate employees. The program was named â€Å"Successful Community Living†. All employees were subjected to this program that promoted civility, respect and understanding among the employees and with the external community. Through the program, employees enthusiastically embraced and celebrated the presence of LGBT, albinos, physically challenged persons and the blacks in the organizational structure (Erickson 01). The program immensely contributed to the creation of a respectful, diversified but integrated workforce that ominously improved employees morale and consequently boosted the productivity and profitability of the organization. The company further augmented the training program by forming a â€Å"Diversity and Inclusion Council† that developed and implemented strategies that promoted the organization’s objectives in 4 major sections; resi dents, employees, CSR (corporate social responsibility) and marketplace initiatives. Members of the council are drawn from different heritages and were skilled in different aspects. Both the top and junior managers supported the council to guarantee its triumph. Holding combined dines was

Money , its for a History of economic thought class Essay

Money , its for a History of economic thought class - Essay Example Money is the difference between that person who is sleeping hungry and that one who affords to have his pets on a special diet. In this sense, it is the promoter of inequality. Once inequality checks in, the consequences are unlimited there is anger, dissatisfaction, deception and every other emotion and act that epitomizes dissent. It is at this point that â€Å"money costs too much†. This is because it gets to a point where it costs life, peace and relationships. The focus of this essay is on relationships the concern is how money comes between people, how money blurs our sight that we soon forget the emotional, patriotic and sometimes blood bond that hold us together. The essence of this inquiry has been informed throughout the semester, having the opportunity to journalize different experiences regarding money has really brought to the fore the value we place on money. This is because unless we place too much value on money higher than the value we place on our social rela tions then it would never be possible for money to downplay our relations. Unfortunately, the exposure I have had throughout this course and the materials I have read have brought to the fore the disheartening truth that money has a much greater force, it costs too much. Economically, money is considered a medium of exchange the means through which we are able to acquire different goods and services. Historically, it has not always been represented by coins and notes but at some point gold and other valuable metals were the preferred means of exchange. However, history teaches us that the problem has not been with the nature but on the value placed on these materials. Any material in which extreme value has been placed has thrown people into frenzy they are continually interested in amassing that which has value. The burst of the Mississippi bubble brings this act of desperation and thirst for value into perspective. It depicts the race to hold that which has value and disposing tha t which has less value. This has been a historical trend, one that has only aggravated over time, the fundamental question is at what cost? The answer may not be as a definite, but it is evident, it is at a much higher cost. Over the past few months I have been able to watch the documentary â€Å"inside job†. The film directed by Charles Ferguson traces the root of the financial crises that only became so apparent in 2007-8. However, following the film clearly illustrates that the financial crises had been ongoing for a while. The signs had been there of a slowdown but were largely ignored. The reason for this ignorance is the basis of this study. The crisis was driven by a need to compound on gains made, a need to amass assets that were being speculated to appreciate in value. Given the capital limitation enforced by the market dynamics, people had to borrow and banks, which are also the primary lenders had to lend for speculative purposes and had also to invest in these spe culations. In any case, the banks were the first to participate in these speculative ventures. The result was an imbalance between the asset base and money borrowed by investments banks. At the end, the speculative ventures never bore the anticipated results and the banks were left indebted. People who had entrusted their hard earned money had lost their confidence on the very people who represented a chance of higher value. This

Magnetic Resonance Instrumentation Essay Example | Topics and Well Written Essays - 750 words

Magnetic Resonance Instrumentation - Essay Example This is achieved by increasing using multiple turns of the coil to increase its sensitivity, to allow high duty of pulsing. At the same time, the design will consider the inductance of the coil gradient, which will have to be minimized. The components of the MR system that are important in this regard include the gradient amplifier, voltage across the inductive, and the resistance across the gradient coil. Q3. The effects of gradient G(r) on Larmor processional frequency at a position r is to change the processional frequency at this position r. Q4. The optimal separation of two current carrying loops to produce as linear a magnetic field gradient as is possible at the centre of the two loops is when 2Z1 =, where a refers to the coil radius. The reason as to why this separation is different from the necessary one to produce a homogenous field is because separating the field in that manner help in generating relatively pure fields. Q5. Slew rate refers to the maximum gradient strength as a factor of the rise time (Vmax/L). The slew rate needs to be as large as possible because it helps in stimulating the peripheral nerves of the human body, thereby creating a â€Å"crawling† type sensation on the skin. Q6. Reason why it is necessary to shield gradient coils: This is done mainly to reduce the net inductance of the system Q7. Type of effect caused by gradient coil shielding to reduce combat the effects of eddy-current induced magnetic fields. Q8. The causes of undesirable sounds produced by magnetic resonance imaging at runtime are due to gradient coil experiencing magnetic forces and torques when being pulsed. The reason is that as the coils get physically restrained, the energy associated with the magnetic forces is released acoustically as loused sound. The undesirable sound can be reduced by: Designing a gradient coil that are torque and force balanced; Shaping the gradient pulses to reduce sound produced; Using acoustically absorbent formers for the co ils; Encasing the gradient coils in an evacuated chamber so that waves of the sound are not compatible. Q9. The main cause of nerve stimulation due to magnetic resonance imaging is the slew rate push and the maximum gradient strengths that induce field in the patient, thereby stimulating the nerves. This is mainly observed by experiencing a â€Å"crawling† type sensation on the skin. It can also be observed through twitching of muscles as the nerves get stimulated. Q10. The causes of impurities in the static magnetic field (BO) include: The patient and radiofrequency coils in the DSV, which may alter the magnetic field due to their magnetic properties; Imperfection in the magnetic manufacturing process; Installation site where ferrous installations done near the magnet may end up altering the homogeneity of the magnetic field over the DSV. Q11. The two types of image quality reduction caused by zonal impurities in the static magnetic field are: Artifacts; Homogeneity. Part B The three topics in my order of preference are: 1) Interventional MR system; 2) MR gradient coils: action and performance; 3) RF resonators for MR applications. The main reason as to why I have chosen the three topics is due to my desire to learn more about them so that I can acquire more knowledge

Left And Right Censored Survival Times Philosophy Essay

Left And Right Censored Survival Times Philosophy Essay Provide a clear explanation of what is meant by left censored and right censored survival times, and illustrate your answer with some examples of how each may arise in a social science context. Suppose that you have continuous time unemployment spell data. The data were derived using a stock sample with follow-up (i.e. interviews some time after the stock sampling date). You also know the date of the interview, at which time information about characteristics were collected, and whether or not the spell in progress at the stock sampling date was still in progress and, if not, the date the spell ended. By deduction, you can calculate the length of time between the stock sample date and the date at which each person was last observed to be unemployed (the interview date for those still unemployed; or some date between the stock sample date and interview date for those who got a job). However, you dont know the date at which each persons spell began, and nor therefore the length of each persons unemployment spell in total from start until last observed. With reference to expressions for the sample log-likelihood function, show that it is possible to estimate the parameters of a n Exponential hazard regression model in this case. Also discuss, giving reasons, whether you could estimate a Weibull model with the same data. [adapted from Wooldridge (2002, Ex. 20.3)] Assume that you have a random sample from the inflow to the state, and all survival times are right-censored. (i) Write down the sample log-likelihood function for this situation. (ii) Derive the special case of likelihood function given in (i) when survival times follow the Gompertz distribution. [Recall that the Gompertz model has hazard function q(t, X) = lexp (gt), where l = exp (b0 + b1X1 + b2X2 + à ¢Ã¢â€š ¬Ã‚ ¦ + bkXk) and shape parameter g > 0.] (iii) Consider the Gompertz model in which the covariate vector X only contains a constant. Show that the Gompertz log likelihood cannot be maximized for real numbers b0 and g. (iv) From (iii), what do you conclude about estimating duration models from inflow sample data when all survival times are right censored? à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦ Table of Contents Left censored and Right censored When we deal with observations the observation period is the difference between the time when experiment begins (time is zero) and when it terminates (let, time is T0 in Figure 01). But in many cases the entities under consideration (human/device) dont come to an end and in those cases we say that it has been suspended, truncated or censored. In many areas of social science and life testing, the subject(s) may leave or enter after they have been put on test. The subject may leave our study before completion (due to failure or death) or may enter late. To analyse such behaviour of human being we are interested in left censored and right censored. Censoring occurs because sometimes our study of interest is lost to follow-up. Censored data means that the observations are known partially and it reflects the side of the dimension. Stephen P. Jenkins in his Survival Analysis wrote, A survival time is censored if all that is known is that it began or ended within some particular interval of time, and thus the total spell length (from entry time until transition) is not known exactly. (Jenkins 2005, p. 4) Its a major problem in social science that some observations are censored but its very usual that our study of interest may not survive until the end period. Left Censored Left censoring refers to the event that occurs at a time before a left bound. In this case we dont know the time when it started. (L Samartzis 2005-06) It is such a situation that we know the datum is below a certain value but we dont know how much it is. Say, for example, a pathological report is revealed which ensures that the patient is suffering from cancer but we have no idea when the patient has been infected. Figure 01 illustrates the censoring situations where X refers the points in time when we actually start or finish monitoring the censored entities, except the beginning (of entity life, at time zero) and the end of the experimental observation period (time T0). Here Line C completes its spell and all other entities are interrupted. Here, a shows an entity that has already been operating for some unknown period of time, before we start monitoring it. This case is called left-censoring. (Dr. J Luis Romeu, n. d.) Figure 01: Left and Right Censoring In a word left censoring means censoring occurs on the left side. If we ignore this type of censoring then there arise selectivity bias because left censoring will overestimate the mean duration as longer spells tend to be observed more frequently than shorter spells. (Amemiya 1999) Right Censored Right censoring refers to the event that occurs at a time after a right bound. In this case we dont know the time when it ended. (L Samartzis 2005-06) In duration models and survival analysis right censoring occurs very often because in many cases observations are known to be larger than some given value. In this case the only information we have is the right bound. Say, for example, we start with 500 light bulbs and this will be terminated after an assigned period of time. In this experiment censoring will occur on the right side because we exactly know the starting point of our experiment. In Figure 01, Line b shows an entity that has been monitored since the beginning of its life (i.e. at the start of the experiment) but which we have ceased to observe before the experiment ends (time T0) or it fails. That is, we observe the entity for some time, after which we are not able to monitor it any more. This other type of truncation is known as right censoring. (Dr. J Luis Romeu, n. d) Comparison between left and right censoring with the help of an example Suppose, a social scientist is interested in analysing the adverse affect of taking illegal drugs in a particular area (may be Colchester). The researcher is willing to determine the distribution of the time until first Marijuana use among high school boys in that area. The question to be answered by the school boys is: When did you first use Marijuana? Let us consider two hypothetical replies: Respondent 01: I have used it but cannot remember just when the first time was. Respondent 02: I never used it. In case of the 1st respondent the event had occurred but exact date at which he started using Marijuana is totally unknown. This is an example of left censored. On the other hand, in the 2nd case the event not yet occurred but there may be the possibility of taking Marijuana in some future dates. Unlike the left censored the censoring occurs on the right side and thus this is an example of right censored. (Klein and Moeschberger 2003, p. 70-71) (b) Stock Sample with follow-up The important things to be considered in this example are: This is a continuous time unemployment spell data. The data were derived using a stock sample with follow-up which is a different name of left truncation (delayed entry) and their applications are similar to handle. This type of data is most commonly used by economists. (Jenkins 2005, p. 5) The stock sample dates are still in progresses which indicate that there are some observations that are right censored. Let us define, Ti = Total spell length f (Ti) = Probability density function (slope of Failure function) at time Ti S (Ti) = Survival function at time Ti ÃŽÂ ¸ (Ti) = Hazard function at time Ti S (à ¢Ã‹â€ Ã¢â‚¬  ti) = The date at which the stock sample was drawn Ci = Censoring indicator Xi = Vector of observed covariates b = Parameter to be estimated N = Sample size There are two types of contributors, Those who leave the state of interest. Those who stay in our state of interest. So the likelihood function will be, N N Ã…Â  = à ¢Ã‹â€ Ã‚  [ f(Ti) / S (à ¢Ã‹â€ Ã¢â‚¬  ti) ] Ci à ¢Ã‹â€ Ã‚  [S (Ti) / S (à ¢Ã‹â€ Ã¢â‚¬  ti) ] 1- Ci i = 1 i= 1 Now by definition of hazard function, we have N Ã…Â  = à ¢Ã‹â€ Ã‚  [ ÃŽÂ ¸ (Ti) ] Ci [S (Ti) / S (à ¢Ã‹â€ Ã¢â‚¬  ti) ] i = 1 N Or, log Ã…Â  = à ¢Ã‹â€ Ã¢â‚¬Ëœ { Ci log ÃŽÂ ¸ (Ti) + log S (Ti) log S (à ¢Ã‹â€ Ã¢â‚¬  ti) } [ Equation no 01 ] i = 1 Equation no 01 clearly states the log-likelihood function of the example. Now its not difficult to consider the Exponential and Weibull model to estimate the parameters. For Exponential Model case: We know that the Exponential model has the following hazard function: ÃŽÂ ¸ (Ti) = ÃŽÂ » where l = exp(bX) Now, by definition the survival function can be obtained from the hazard function by the equation below: t S(t) = exp ( à ¢Ã‹â€ Ã‚ « ÃŽÂ ¸(u)du ) [ Equation no 02 ] 0 So the survival function of the Exponential model is S(t) = exp (-ÃŽÂ »t ). Now plugging the value of the hazard and survival function of the Exponential model in the log-likelihood function (Equation no 01) we get the Exponential hazard regression model which is as follows: N log Ã…Â  = à ¢Ã‹â€ Ã¢â‚¬Ëœ { Ci log ÃŽÂ » + log [exp (-ÃŽÂ »T )] log [exp (-ÃŽÂ »Ãƒ ¢Ã‹â€ Ã¢â‚¬  t )] } i = 1 N Or, log Ã…Â  = à ¢Ã‹â€ Ã¢â‚¬Ëœ { Ci (bX) ÃŽÂ »T ÃŽÂ »Ãƒ ¢Ã‹â€ Ã¢â‚¬  t } i = 1 Once we get the value of the variables we can easily calculate the log-likelihood function of the Exponential hazard regression model. For Weibull Model case: Exponential model is a special case of Weibull model which has the following hazard function: ÃŽÂ ¸ (Ti) = ÃŽÂ » ÃŽÂ ± tÃŽÂ ±-1 where l = exp(bX) When ÃŽÂ ± = 1 the model describes the Exponential model thus it is nothing but a special case of Weibull model. From equation no 02 the survival function of Weibull model is, S(t) = exp (-ÃŽÂ »tÃŽÂ ± ) Plugging the value in the log-likelihood function (Equation no 01) we get the Weibull model, N log Ã…Â  = à ¢Ã‹â€ Ã¢â‚¬Ëœ { Ci log [ÃŽÂ » ÃŽÂ ± tÃŽÂ ±-1] + log [exp (- ÃŽÂ »TÃŽÂ ±)] log [exp (- ÃŽÂ »Ãƒ ¢Ã‹â€ Ã¢â‚¬  tÃŽÂ ± )] } i = 1 N Or, log Ã…Â  = à ¢Ã‹â€ Ã¢â‚¬Ëœ { Ci (bX) + Ci log ÃŽÂ ± + Ci (ÃŽÂ ± 1) log t ÃŽÂ »TÃŽÂ ± ÃŽÂ »Ãƒ ¢Ã‹â€ Ã¢â‚¬  tÃŽÂ ± } i = 1 Like the exponential model we can easily calculate the Weibull model when we have the data of the model. The estimation can be obtained from the above log-likelihood function for the given data. But its a matter of judgment that which model will be the best-fitted? The result depends on the value of ÃŽÂ ± and its critical value of the t-statistic (the p-value). The critical t-statistic value of ÃŽÂ ± will decide which model is appropriate for the given data. If the value of ÃŽÂ ± is greater than 1 and significant then it is wise to consider the Weibull model rather than the exponential model. (c) [Adapted from Wooldridge (2002, Ex. 20.3)] The problem of estimating the censoring and time varying covariates is not possible to handle by the Ordinary Least Square (OLS) method rather it is addressed by the estimation based on Maximum Likelihood (ML) method. But before going to estimate we should identify the type of process that generates the data i.e. the type of sampling scheme. The random sample from the inflow to the state is one of the five sampling schemes analyzed in social science. (Jenkins 2005, p. 61) Given the random sample, let Xi = Vector of observed covariates ÃŽÂ ¸ = Vector of unknown parameters N = Random sample size ti = Length of time Ci= Censoring indicator Ci = 1 if uncensored Ci = 0 if censored The conditional likelihood observations can be written as f( ti | Xi, ÃŽÂ ¸) Ci [ 1 F (ti | Xi, ÃŽÂ ¸ ) 1- Ci where uncensored and censored subjects are in product form. (Cox and Oakes 1992, p. 33) (i) If all observations are right censored, Ci = 0 and hence the log-likelihood function is N à ¢Ã‹â€ Ã¢â‚¬Ëœ log [1 F (ti | Xi, ÃŽÂ ¸) ] [Equation no 03] i=1 (ii) Gompertz model has hazard function q(t, X) = lexp (gt) where l = exp(b0 + b1X1 + b2X2 + à ¢Ã¢â€š ¬Ã‚ ¦ + bkXk) and shape parameter g > 0 By definition, survival function S(t) is t S(t) = exp ( à ¢Ã‹â€ Ã‚ « ÃŽÂ ¸(u)du ) [ recall Equation no 02 ] 0 Now the survival function in Gompertz model is S(t) = exp [ ÃŽÂ » / g exp ( gt ) + (ÃŽÂ » / g ) ] S(t) = exp [ (ÃŽÂ » / g) {1 exp (gt) } ] And consequently the failure function is F(t) = 1- exp [ (ÃŽÂ » / g) {1 exp (gt)}] So the log-likelihood function for Gompertz distribution (from Equation no 03) is N à ¢Ã‹â€ Ã¢â‚¬Ëœ log [1 1 + exp [ (ÃŽÂ » / g) {1 exp (gt)}] ] i=1 N = à ¢Ã‹â€ Ã¢â‚¬Ëœ log [exp [ (ÃŽÂ » / g) {1 exp (gt)}] ] i=1 N = à ¢Ã‹â€ Ã¢â‚¬Ëœ (ÃŽÂ » / g) {1 exp (gt)} [ Equation no 04 ] i=1 (iii) In Gompertz distribution when the covariate vector Xi only contains a constant implies that l = exp (b0) where without this condition l = exp (b0 + b1X1 + b2X2 + à ¢Ã¢â€š ¬Ã‚ ¦ + bkXk). In this conditional case the observed covariates Xi is defined only by the constant term b0. Hence the log-likelihood function (from Equation no 04) is N = à ¢Ã‹â€ Ã¢â‚¬Ëœ (ÃŽÂ » / g) {1 exp (gt)} where l = exp( b0 ) i=1 N = à ¢Ã‹â€ Ã¢â‚¬Ëœ (exp( b0 ) / g) {1 exp (gt)} [ Equation no 05 ] i=1 Given positive value of t and g the value of {1 exp (gt)} will always be negative and consequently the value of equation no 05 will be negative. So we can maximise the likelihood function only by maximising b. But when the value of b à ¢Ã¢â‚¬  Ã¢â‚¬â„¢ à ¢Ã‹â€ Ã… ¾ the exp (b0) à ¢Ã¢â‚¬  Ã¢â‚¬â„¢ à ¢Ã‹â€ Ã… ¾. So for any positive value of g (nevertheless to mention that t is also positive) the log-likelihood function (containing only constant of covariate vector Xi ) will lead to b getting more positive values without any bound. We can also rule out the minimisation of log-likelihood function by minimising exp (b0) across b. For the value of b à ¢Ã¢â‚¬  Ã¢â‚¬â„¢ à ¢Ã‹â€ Ã… ¾ the exp (b0) à ¢Ã¢â‚¬  Ã¢â‚¬â„¢ 0. The values of b are getting more and more negative and it will go beyond calculation. Hence, the Gompertz log-likelihood cannot be maximized only for the real numbers b0 and g. (iv) From (iii) we observed that Gompertz log-likelihood cannot be maximised for only real numbers b0 and g. So it is not possible to estimate the Gompertz models from any given flow data when all survival times are right censored. Actually this might be a special case when all data under consideration are right censored and covariate vector Xi contains only a constant. (d) References Amemiya T. (1999), A note on left censoring, Analysis of Panels and Limited Dependent Variables Models, Edited by Hsiao, C., Lahiri, K., Lee, Lung-Fei, and Pesaran, M. H., Cambridge: Cambridge University Press. Cox, D. R. and Oakes, D. (1992), Analysis of Survival Data, 1st edition (Reprinted by University Press, Cambridge), London: Chapman Hall. Jenkins, Stephen P. (2005), Survival Analysis (unpublished), , July 2005, Accessed on 07 April 2010. Klein, J. P. and Moeschberger, M. L. (2003), Survival Analysis: Techniques for Censored and Truncated Data, 2nd Edition, New York: Springer-Verlag. Romeu, Jorge L., (n. d.), Reliability and Advanced Information Technology Research with Alion Science and Technology, Online at , Accessed on 08 April 2010. Samartzis, Lefteris (n. d), Survival and Censored Data, Semester Project, Winter 2005-2006, Online at , Accessed on 08 April 2010. à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦ The End à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦

Comparing Male and Female Relationships in Cat in The Rain and Hills Li

Comparing Male and Female Relationships in Cat in The Rain and Hills Like White Elephants by Hemingway This relationship is examined closely in two short stories. The stories, Cat in The Rain, and Hills Like White Elephants, both show a man and a woman in what seems to be a quiet and passive moment. However in both stories, Hemingway carefully uses imagery and subtlety to convey to the reader that the relationship in the story is flawed, and is quite clearly dysfunctional. Both male characters in each story clearly have trouble understanding their women, and it is this inability to see them and what they want that Hemingway is addressing and criticizng. What, in both works, appears to be a quite and passive moment, is in reality a pivotal point in each relationship, and neither man seems to realize it. Â   For example, Cat In The Rain tells what seems to be a simple tale of an American couple spending a rainy afternoon inside their hotel room. This simple set up serves as a great metaphor for what appears to be the couples relationship. Outside it's ugly and gray. And nothing is going on inside. Form the begging, we can see that their is a well established rift in the relationship between George and his unnamed wife. The woman sees a cat standing in the rain, and tells her husband (who is being non communicative and sits aside reading, the whole time) "I'm going down and get that kitty"(129). Hemingway writes the response of the Husband as '"I'll do it", her husband offered from the bed"(129). The fact that George seems so detached, and makes no effort in even getting up clearly shows us that his "offer" her means nothing. He is simply going through a mechanical motion of seeming to listen and care, with out even bothering ... ...tle bit of light she needs. Â   In conclusion, neither of these stories really gives any hope to their respective relationships. It seems that both cases feature men who have long already ignored and under appreciated their loved ones, and have hurt them and not even seen that hurt. Hemingway seems to be telling us that they key to keep relating is to not only listen, but listen with intent. Both the women in these stories are sad, hurt and lonely. Those are traits Hemingway seems to have written about numerous times, but they come across beautifully in these tales that at first seem small and insignificant, but truly do offer a snapshot into the emotions of it's characters, and into ours as well. Works Cited The Complete Short Stories Of Ernest Hemingway. The Fianca Vigia Edition. Scribner Paperback Fiction. Published By Simon and Schuster. New York, NY.