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數(shù)學(xué)畢業(yè)論文-均勻分布的參數(shù)估計與假設(shè)檢驗問題
均勻分布的參數(shù)估計與假設(shè)檢驗問題
摘要
在1般的教科書上,對于母體在正態(tài)分布情形下,對參數(shù)的估計與檢驗問題作了詳細(xì)的介紹,當(dāng)母體為非正態(tài)分布時,對參數(shù)的估計尤其是區(qū)間估計與檢驗問題很少涉及。均勻分布是常用的分布,本文系統(tǒng)討論了在均勻分布母體下,參數(shù)的估計與檢驗問題。對于點估計問題,討論了估計的優(yōu)良性質(zhì);對于區(qū)間估計問題,討論了估計的精度;關(guān)于參數(shù)的檢驗問題,首先建立檢驗用的統(tǒng)計量及其分布,由此導(dǎo)出檢驗的方法。這些問題的討論具有廣泛的實際背景,因此也具有1定的應(yīng)用價
2、值。
關(guān)鍵詞:均勻分布; 參數(shù)估計; 點估計; 區(qū)間估計; 假設(shè)檢驗。
Parameter estimation and the hypothesis testing for uniform distribution
Abstract
In general textbooks,we detailedly introduce the estimation of parameter and the problem of hypothesis testing for normal distribution.We hardly introduce those kn
3、owledge for other distributions.Uniform distribution is commonly used distribution.In this paper, we discuss the estimation of parameter and the problem of hypothesis testing on the uniform distribution; we discuss the excellent property of estimation for the problem of point estimation; we discuss
4、the precision of estimation.About the problem of hypothesis testing for the problem of estimate interval,first of all,we set statistic and the distributions of the statistic.Fron this ,we derivate the methods of testing. The discussions of those problems have extensive background. So they also have
5、certain applicable value.
Key words: uniform distribution; parameter estimation; point estimation; estimate interval;
hypothesis testing.
目 錄
前言…………………&he
6、llip;……………………………………………………………………………1
1 均勻分布的點估計及性質(zhì)…&h
7、ellip;…………………………………………………………………2
2 均勻分布的區(qū)間估計………………&hellip
8、;………………………………………………………11
3 均勻分布參數(shù)的假設(shè)檢驗……………………………&hellip
9、;……………………………………16
4結(jié)束語………………………………………………&hel
10、lip;………………………………………18
5參考文獻(xiàn)………………………………………………………………………………………19
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