BurrⅫ模型中基于屏蔽数据的参数估计

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 251-255.

BurrⅫ模型中基于屏蔽数据的参数估计

1. Department of Microwave, Sichuan Jiuzhou Electric Group Corporation2. First Research Institute, Sichuan Jiuzhou Electric Group Corporation3. Department of Applied Mathematics, Northwestern Polytechnical University

收稿日期:2008-02-29 出版日期:2011-06-30 发布日期:2023-05-04
作者简介:HOU Hua-lei(1985-), female, native of Nanyang, Henan, an engineer of Sichuan Jiuzhou Electric Group Corporation, M.S.D., engages in applied probability and statistics, reliability and algorithm.
基金资助:
Supported by the National Natural Science Foundation of China(70471057)；

Parameter Estimations in BurrXII Model Using Masked Data

1. Department of Microwave, Sichuan Jiuzhou Electric Group Corporation2. First Research Institute, Sichuan Jiuzhou Electric Group Corporation3. Department of Applied Mathematics, Northwestern Polytechnical University

Received:2008-02-29 Online:2011-06-30 Published:2023-05-04
About author:HOU Hua-lei(1985-), female, native of Nanyang, Henan, an engineer of Sichuan Jiuzhou Electric Group Corporation, M.S.D., engages in applied probability and statistics, reliability and algorithm.
Supported by:
Supported by the National Natural Science Foundation of China(70471057)；

摘要/Abstract

摘要： We consider a series system of two independent and non-identical components which have different BurrⅫ distributed lifetime. The maximum likelihood and Bayes estimators of the parameters of the system’s components are obtained based on masked system life test data. The conclusion is that the Bayes estimates are better than the maximum likelihood estimates in the sense of having smaller mean squared errors.

关键词: masked data, BurrXII distribution, Bayes estimation

Abstract: We consider a series system of two independent and non-identical components which have different BurrⅫ distributed lifetime. The maximum likelihood and Bayes estimators of the parameters of the system’s components are obtained based on masked system life test data. The conclusion is that the Bayes estimates are better than the maximum likelihood estimates in the sense of having smaller mean squared errors.

Key words: masked data, BurrXII distribution, Bayes estimation

中图分类号:

O213.2

侯华蕾, 蒋耀伟, 师义民. BurrⅫ模型中基于屏蔽数据的参数估计[J]. 数学季刊, 2011, 26(2): 251-255.

HOU Hua-lei, JIANG Yao-wei, SHI Yi-min. Parameter Estimations in BurrXII Model Using Masked Data [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 251-255.