逆瑞利分布的有效估计

doi:10.3976/j.issn.1002-4026.2017.05.014

山东科学 ›› 2017, Vol. 30 ›› Issue (5): 86-90.doi: 10.3976/j.issn.1002-4026.2017.05.014

逆瑞利分布的有效估计

卢建萍¹ , 史洁茹²，郝博¹*

1.山西师范大学数学与计算机科学学院, 山西临汾 041000；2.四川大学数学学院，四川成都 610065

收稿日期:2016-06-20 出版日期:2017-10-20 发布日期:2017-10-20
通信作者: 郝博。E-mail：fobfge@126.com E-mail:fobfge@126.com
作者简介:卢建萍(1986—), 女,硕士, 研究方向为统计推断、参数估计。
基金资助:
山西省自然科学基金 (2013011002-1)

An efficient estimation of the inverse Rayleigh distribution

LU Jian-ping¹，SHI Jie-ru², HAO Bo¹*

1. School of Mathematics &Computer Science, Shanxi Normal University, Linfen 041000, China;2. School of Mathematics, Sichuan University, Chengdu 610065, China

Received:2016-06-20 Online:2017-10-20 Published:2017-10-20

摘要/Abstract

摘要：

推导逆瑞利分布的密度函数和分布函数的MLE和UMVUE, 并给出估计量r阶矩的精确表达式。对估计量的均方误差和变异系数做渐进展开, 在大样本下给出逆瑞利分布有效估计的判断条件。

关键词: 逆瑞利分布, MLE, 密度函数, 分布函数, UMVUE

Abstract:

The MLE and UMVUE of the density function and distribution function were derived for the inverse Rayleigh distribution, and the explicit expressions of the rth moment of these estimators were given. The mean square error and variation coefficient of the estimators were asymptotically expanded. Finally, the judgement for the effective estimation of the inverse Rayleigh distribution was given in the large sample.

Key words: inverse Rayleigh distribution, distribution function, MLE, density function, UMVUE

中图分类号:

O212.1

卢建萍,史洁茹，郝博. 逆瑞利分布的有效估计[J]. 山东科学, 2017, 30(5): 86-90.

LU Jian-ping，SHI Jie-ru, HAO Bo. An efficient estimation of the inverse Rayleigh distribution[J]. SHANDONG SCIENCE, 2017, 30(5): 86-90.

逆瑞利分布的有效估计

An efficient estimation of the inverse Rayleigh distribution

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