Burr Type XII 分布的统计推断

数学物理学报 ›› 2008, Vol. 28 ›› Issue (6): 1103-1108.

Burr Type XII 分布的统计推断

王炳兴

(浙江工商大学统计系杭州 310035)

收稿日期:2006-11-10 修回日期:2007-10-09 出版日期:2008-12-25 发布日期:2008-12-25
通讯作者: 王炳兴

Statistical Inference for the Burr Type XII Distribution

Wang Bingxing

(Department of Statistics, Zhejiang Gongshang University, Hangzhou 310035)

Received:2006-11-10 Revised:2007-10-09 Online:2008-12-25 Published:2008-12-25
Contact: Wang Bingxing

摘要/Abstract

摘要：

该文讨论了两参数 Burr Type XII 分布基于逐次定数截尾样本的参数估计, 导出了有关参数的点估计和区间估计. 我们利用模拟方法对所给点估计和参数的最大似然估计作了比较, 模拟结果显示所给点估计优于常用的最大似然估计. 最后, 用一个实际例子说明本文所给方法.

关键词: Burr Type XII 分布, 逐次定数截尾样本, 点估计, 区间估计

Abstract:

This paper obtains the new point estimate and interval estimate for the two-parameter Burr type XII distribution based on the progressively type II censored sample. Using Monte Carlo method, we compare the proposed estimators with the maximum likelihood estimators. The simulation results show that the proposed estimators outperform the maximum likelihood
estimators. Finally, a numerical example is presented to illustrate the methods discussed in this paper.

Key words: Burr type XII distribution, Progressively type II censored sample, Point estimation, Confidence interval

中图分类号:

62N05

王炳兴. Burr Type XII 分布的统计推断[J]. 数学物理学报, 2008, 28(6): 1103-1108.

Wang Bingxing. Statistical Inference for the Burr Type XII Distribution[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1103-1108.

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