n维球内均匀分布的参数估计  

Parameter estimation of n-dimensional uniform distribution in a spherical

作　　者：王志祥[1] 

机构地区：[1]淮阴师范学院数学系,江苏淮安223300

出　　处：《纯粹数学与应用数学》2009年第4期789-793,共5页Pure and Applied Mathematics

基　　金：江苏省高校自然科学基金(05KJD110034)

摘　　要：研究了n维球内均匀分布的参数的点估计与区间估计,利用次序统计量得到了球半径的最大似然估计,在此基础上构造了球半径的无偏估计,并且证明了该无偏估计的相合性.利用构造枢轴量的方法得到了球半径的最短置信区间.This paper studies the parameters＇ point estimation and interval estimation of n-dimensional uniform distribution in a spherical. Based on the order statistic, the radius＇ maximum likelihood estimation is obtained further more, the consistency of the radius＇ maximum likelihood estimation is proved.On the other hand, the shortest confidence interval of the radius is also obtained by constructing a pivot.

关 键 词：均匀分布 次序统计量 点估计 置信区间 

分 类 号：O211.5[理学—概率论与数理统计]