均勻分布的參數(shù)估計(jì)與假設(shè)檢驗(yàn)問(wèn)題

時(shí)間：2024-06-04 06:01:30 數(shù)學(xué)畢業(yè)論文我要投稿

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摘要

在1般的教科書上，對(duì)于母體在正態(tài)分布情形下，對(duì)參數(shù)的估計(jì)與檢驗(yàn)問(wèn)題作了詳細(xì)的介紹，當(dāng)母體為非正態(tài)分布時(shí)，對(duì)參數(shù)的估計(jì)尤其是區(qū)間估計(jì)與檢驗(yàn)問(wèn)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(jì)與檢驗(yàn)問(wèn)題。對(duì)于點(diǎn)估計(jì)問(wèn)題，討論了估計(jì)的優(yōu)良性質(zhì)；對(duì)于區(qū)間估計(jì)問(wèn)題，討論了估計(jì)的精度；關(guān)于參數(shù)的檢驗(yàn)問(wèn)題，首先建立檢驗(yàn)用的統(tǒng)計(jì)量及其分布，由此導(dǎo)出檢驗(yàn)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(yīng)用價(jià)值。

關(guān)鍵詞:均勻分布；參數(shù)估計(jì)；點(diǎn)估計(jì)；區(qū)間估計(jì)；假設(shè)檢驗(yàn)。

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(jì)及性質(zhì)………………………………………………………………………2
2 均勻分布的區(qū)間估計(jì)…………………………………………………………………………11
3 均勻分布參數(shù)的假設(shè)檢驗(yàn)……………………………………………………………………16
4結(jié)束語(yǔ)…………………………………………………………………………………………18
5參考文獻(xiàn)………………………………………………………………………………………19
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