Definition of Asymptotic Variance in Statistical Analysis

The definition of the asymptotic variance of an estimator may vary from author to author or situation to situation. One standard definition is given in Greene, p 109, equation (4-39) and is described as sufficient for nearly all applications. The definition for asymptotic variance given is: asy var(t_hat) (1/n) * limn-infinity E[ {t_hat - limn-infinity E[t_hat] }2 ] Introduction to Asymptotic Analysis Asymptotic analysis is a method of describing limiting behavior and has applications across the sciences from applied mathematics to statistical mechanics to computer science.  The term  asymptotic  itself refers to approaching a value or curve arbitrarily closely as some limit is  taken.  In applied mathematics and econometrics,  asymptotic  analysis is employed in the building of numerical mechanisms that will approximate equation solutions. It is a crucial tool in the exploration of the ordinary and partial differential equations that emerge when researchers attempt to model real-world phenomena through applied mathematics. Properties of Estimators In statistics, an estimator is a rule for calculating an estimate of a value or quantity (also known as the estimand) based upon observed data. When studying the properties of estimators that have been obtained, statisticians make a distinction between two particular categories of properties: The small or finite sample properties, which are considered valid no matter the sample sizeAsymptotic properties, which are associated with infinitely larger samples when n  tends to ∞ (infinity). When dealing with finite sample properties, the aim is to study the behavior of the estimator assuming that there are many samples and as a result, many estimators. Under these circumstances, the average of the estimators should provide the necessary information. But when in practice when there is only one sample, asymptotic properties must be established. The aim is then to study the behavior of estimators as n, or the sample population size,  increases. The asymptotic properties an estimator may possess include asymptotic unbiasedness, consistency, and asymptotic efficiency. Asymptotic Efficiency and Asymptotic Variance Many statisticians consider the minimum requirement for determining a useful estimator is for the estimator to be consistent, but given that there are generally several consistent estimators of a parameter, one must give consideration to other properties as well. Asymptotic efficiency is another property worth consideration in the evaluation of estimators. The property of asymptotic efficiency targets the asymptotic variance of the estimators. Though there are many definitions, asymptotic variance can be defined as the variance, or how far the set of numbers is spread out, of the limit distribution of the estimator. More Learning Resources Related to Asymptotic Variance To learn more about asymptotic variance, be sure to check the following articles about terms related to asymptotic variance: AsymptoticAsymptotic NormalityAsymptotically EquivalentAsymptotically Unbiased

Philosophies Relationship to Death Essay - 971 Words

Philosophies Relationship to Death Apology and Phaedo Knowledge of Death versus Belief in a Soul In Plato’s Apology, Socrates says that he knows nothing of death while in Phaedo he discusses many of his beliefs on death and its philosophical ramifications. From this simple perspective it may seem as though he is contradicting himself although he, after further investigation, is not. Philosophically, the idea of death and an afterlife can be looked at from multiple non-contradictory viewpoints. Socrates talks of his lack of knowledge of death in order to define, more so, his philosophy on life. While in Phaedo, he talks explicitly about his philosophy on death. The two discussions of death are equally important in†¦show more content†¦On the other hand, death does not constitute a certain evil and death may not interfere with the will of God, his teaching and discussing and thinking. So, as simple logic can explain, living would require that evil does exist whether it’s incarceration or any other punishment, while death may be, in fact the greatest good, rather than the preconceived notion of many that it is the greatest evil. Socrates, thus, chose the possibility of good rather than the inevitability of evil. By discussing death in such a manner Socrates is also able to offer his opinion on the decisions made during life. If we are not able to know whether death is an evil at all, when compared to other options in life, it may be the better. We do know, for example, that disgrace is an evil so, when faced with the option, Socrates would choose death. Socrates discussed this in terms of following the orders of a righteous leader in a military situation, but made his reasoning more personal when he used it in describing his desire to follow the orders, or will, of God. It is therefore, if we want to live righteously, that we should not fear death as the many earthly evils should be feared instead. In Phaedo Socrates, during his last ours of life answers many questions on his belief of the ramifications of death. He discusses not whether death is an evil, nor does he say that he knows death, but instead whether death exists for the soul at all and in what form. Socrates argues that deathShow MoreRelatedEssay about Confucianism1154 Words   |  5 Pages Confucianism Confucianism is an East Asian philosophy built up by a Chinese philosopher, Confucius (Kung Fu-tzu), in the 6th - 5th century BCE. It’s a philosophy based on human morals and relationships. To really understand Confucianism, how it originated and what parts of history contributed towards its development, you have to look into: who is Confucius, the history of Confucianism and what happened to Confucianism after the death of Confucius? Who is Confucius? 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Alleviate Silo Effects â€Build a Healthy Enterprise. Free Essays

Build a Healthy Enterprise. It can be said that effectiveness is Jeopardized when Interdepartmental conflict has happened In many enterprises. This phenomena extends to misunderstanding of each other, nonappearance of department work and Inconsiderate of the whole enterprise. We will write a custom essay sample on Alleviate Silo Effects —Build a Healthy Enterprise. or any similar topic only for you Order Now As a result of those effective less actions, business lose time, money and quality. Also, it can be said that manager can not quickly responds when those conflict happen. The business hierarchy does well in control process, but block information collection. The poor cross-functional communication across departments or business unit, is a reality for many organizations. As the organization rise and become more complex and developed, the â€Å"Silo Virus†(Schuster Bloch 2006) leads to departmental isolation, and unsustainable result the failure of business. This essay will therefore discuss the poor cross-functional communication across departments or business units, give some of the main reasons for cause It, and developed effective remedies for along enterprises. Also, possible strategies In which to alleviate silo effect In the future will be outlined and explored. The definition of poor cross-functional communication across departments or business units is a managerial problem which lead the business out comes far from their established goals. A managerial problem due to the failure cooperation among different departments. The group of people mix together share aims, perceptions and preference to organize a enterprise, actually, it is very hard to make everyone in the enterprise get their large profit as they want, but through manage of organization, people could achieve their largest value. With this platform, individual will play a big collective strength. However, Howard G. And Noel W. (2004) state that communication problems In the organization are not unlike the progressive development of a headache. If the Initial bodily cues are Ignored or not monitored, the full throb will hit. However, It could be state that poor cross-functional communication across departments or business units can cause a big failure of enterprise’s business. Department egoism, careless of others, fuzzy thinking and tunnel vision like a virus jeopardize the whole body, and make the work effective jess. This is visually describe by the idea from Schuster Bloch (2006) who argues that: The infected departments resemble huge grain silos in a lonely landscape. They also function like foreign bodies – impersonal and often oversized. Nothing penetrates to the outside world. There is no window into what goes on inside. The silos are filled from above, which also fits the picture. When the enterprise’s top people are Infected, the silo virus spreads throughout the organism. This metaphor give the key message of Its appearance. Therefore, in order to solve this problem, rather complement and perceive must first be realized. There are two aspect cause the poor cross-functional communication across management of the whole enterprise. The main reason for cause the internal less communication is fear of feedback. People try to keep silence because they could not see any profit to themselves when they give positive suggestions. Jackson(2003) state that people avoid the truth and instead continue to try to guess what their bosses think. The business hierarchy block the information communication, because most people think it is not their susceptibilities to make the company perform well and advance their careers. Jackson also give his state of People avoid feedback because they hate being criticized, plain and simple. However, it can be state the employee afraid to provide information because they have some dissatisfied of company and brooding of their current situation. At another side, the managers unsuitable management lead those embarrass situations come out, due to they are afraid the criticized voice of their work and fail to acknowledge the implications of current situation. The problems focus on the feedback of information communication. There are many reasons to cause lack of management of the whole parties. The stress, denomination and in efficiency will not distinct as they are in one department. Manager will negligent or ignore of a lot of information which could determinate the potential problems in the future. And for different department managers, they have different goals which could conflict and need sacrificing some parties’ own goals to achieve the corporate goals. The problems focus on the leadership performance. So what should be done by manager to encourage employees information feedback and inspire their own act to perform leadership? Jackson(2003) state that four manageable steps to encourage individual feedback: self-assessment, external feedback, absorbing the feedback, and taking action toward change. This may be an idealist’s viewpoint, however its key message has some significant merit and certainly to address this problem through self-motivation, and taken others’ advise. For the enterprise, Everyone seem like living in a big happy family, but manager must keen to elect department information and find every potential problems solution. It’s seem possible for the senior managers to do that work. But the problem is how can we find a process which provide an outcome that could fit every parries in the organization without sacrificing their equity? Schuster, P. Bloch, B. State their solution for this process as the pursuing consistent and co-ordinate goals, a sufficient flow of information through management and among colleagues, clear work processes and definition of responsibility, and inter-departmental meetings. All for the enterprise to o is build a opening platform that could encourage employees speaking out their contribute for the whole organization. In this platform we could find the information do manager need to lead concerted effort on the enterprise, and replace of the number of wasting time meetings, time consuming workshop and pointless E-mails. In conclusion therefore, the issue of the poor cross-functional communication across departments or business units is one which needs much information feedback by of the main reasons for silo effect in the organization and the countermeasure when it occurs. Although the reasons for silo effect of an organization can be described as natural happen, they are generally cause by both micro side(individual performance) and macro side(department management) of organization. Therefore, in terms of trying to alleviate silo effect, it is recommended to build a internal platform which could opening and freeing to make contribution to the organization. This Just one possible strategies to alleviate the poor cross-functional communication across departments or business units. Len the future it will be continually thought and explored. How to cite Alleviate Silo Effects —Build a Healthy Enterprise., Papers