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Evolution Of The Three Distributions In Statistics

Posted on:2012-08-16Degree:MasterType:Thesis
Country:ChinaCandidate:H B ZhangFull Text:PDF
GTID:2167330335475350Subject:Statistics
Abstract/Summary:PDF Full Text Request
The "Aufhebung" in scientific development is always a spiral process. In the specific historical conditions,thinking retained were considered to be "scientific",discarded the "unscientific"thinking.These "unscientific" thinking is an essential nutrient in germination of new scientific thinking,so the history of science has always been the importance attached by the scientists.Statistics as a discipline has a close relationship with the development of modern scientific, the historical research also has its significance can not be ignored.People accustomed to the binomial distribution, normal distribution, Poisson distribution known as the three major distribution in Probability, and the Chi-square distribution,t distribution, and F distribution known as the three major distribution in Statistics.Statistical distribution as probability model to analysis data can be said to be the cornerstone of statistical theory,distribution theory applied to any branch of statistical theory.The discovery process of the three major distribution in Statistics was in the formation period of the modern statistical theory,and closely linked with the establishment of the modern statistical theory.For example, Karl Pearson discovered Chi-square distribution in the formation process of the theory of goodness of fit;Gosset discovered t distribution in the process of creation of small sample theory;F distribution was created in the process of Fisher found analysis of variance theory.In this paper,on the basis of make full use of primary sources,the discovery of the three main distribution statistics as a logic thread,focusing on Karl Pearson,Gosset,Fisher three statisticians related work,interpret the development of statistics from the late 19th to early 20th century.
Keywords/Search Tags:Statistical Distribution, Goodness of Fit, Small Sample Theory, Analysis of Variance
PDF Full Text Request
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