均勻分布的參數估計與假設檢驗問(wèn)題

均勻分布的參數估計與假設檢驗問(wèn)題

摘要

在1般的教科書(shū)上，對于母體在正態(tài)分布情形下，對參數的估計與檢驗問(wèn)題作了詳細的介紹，當母體為非正態(tài)分布時(shí)，對參數的估計尤其是區間估計與檢驗問(wèn)題很少涉及。均勻分布是常用的分布，本文系統討論了在均勻分布母體下，參數的估計與檢驗問(wèn)題。對于點(diǎn)估計問(wèn)題，討論了估計的優(yōu)良性質(zhì)；對于區間估計問(wèn)題，討論了估計的精度；關(guān)于參數的檢驗問(wèn)題，首先建立檢驗用的統計量及其分布，由此導出檢驗的方法。這些問(wèn)題的討論具有廣泛的實(shí)際背景，因此也具有1定的應用價(jià)值。

關(guān)鍵詞:均勻分布； 參數估計； 點(diǎn)估計； 區間估計； 假設檢驗。 

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 knowledge 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 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 certain applicable value.

Key words: uniform distribution； parameter estimation；  point estimation；  estimate interval；   
hypothesis testing.

目    錄
      
前言…………………………………………………………………………………………………1      
1 均勻分布的點(diǎn)估計及性質(zhì)………………………………………………………………………2    
2 均勻分布的區間估計…………………………………………………………………………11   
3 均勻分布參數的假設檢驗……………………………………………………………………16     
4結束語(yǔ)…………………………………………………………………………………………18    
5參考文獻………………………………………………………………………………………19
致謝辭　

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