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The Backgrounds of All Kinds of Distributions

Author: LiYongGuo
Tutor: ShiNingZhong
School: Northeast Normal University
Course: Probability Theory and Mathematical Statistics
Keywords: Poisson The most complicated principle Entropy Goodness of fit
CLC: O212
Type: Master's thesis
Year: 2006
Downloads: 157
Quote: 0
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Abstract


The thesis is mainly about the definitions and backgrounds of all kinds ofdistributions in Probability and Mathematics Statistic. Current books of this kind justbriefly introduce definitions, quality and applications of each kind of distribution.However, there is no careful explanation of its background, that is, how it came intobeing and why it is to be studied. About this situation, I referred to a lot of Chineseand foreign data and then collected and compiled them, and also narrated it usinguniform signs.The thesis contains three chapters. The first part is Introduction, which carefullyexplains why the background of each kind of distribution is to be studied. The firstchapter, involving the concept of Poisson, because it is the main reason for someimportant continuous distribution, mainly introduces the definition and background ofdiscrete probability distribution. The second chapter, mentioning the concept of “themost complicated principle”, is about the background of important continuousdistribution. Because “the most complicated principle” needs different bindingconditions, in theory, it could deduce several common probability distributionfunctions in Probability. This makes it possible for probability distribution functionsto find a unified and systemic explanation and also makes the physical background oftheoretic causes clearer. The third chapter tells about the background of multi-itemdistribution and explains the twisted process of each distribution in detail, which alsoincludes anecdotes of many great mathematicians.

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Mathematical Statistics
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