均匀分布的参数估计与假设检验问题.doc

均匀分布的参数估计与假设检验问题 均匀分布的参数估计与假设检验问题摘要在1般的教科书上，对于母体在正态分布情形下，对参数的估计与检验问题作了详细的介绍，当母体为非正态分布时，对参数的估计尤其是区间估计与检验问题很少涉及。均匀分布是常用的分布，本文系统讨论了在均匀分布母体下，参数的估计与检验问题。对于点估计问题，讨论了估计的优良性质；对于区间估计问题，讨论了估计的精度；关于参数的检验问题，首先建立检验用的统计量及其分布，由此导出检验的方法。这些问题的讨论具有广泛的实际背景，因此也具有1定的应用价值。关键词:均匀分布； 参数估计； 点估计； 区间估计； 假设检验。  parameter estimation and the hypothesis testing for uniform distributionabstractin 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    录       前言1       1 均匀分布的点估计及性质2     2 均匀分布的区间估计11    3 均匀分布参数的假设检验16      4结束语18   &nb