[1]桂国祥,黄 娟.指数-威布尔分布参数的经验Bayes检验问题[J].江西师范大学学报(自然科学版),2019,(04):348-352.[doi:10.16357/j.cnki.issn1000-5862.2019.04.04]
 GUI Guoxiang,HUANG Juan.The Empirical Bayes Test for Parameter of Exponential-Weibull Family[J].Journal of Jiangxi Normal University:Natural Science Edition,2019,(04):348-352.[doi:10.16357/j.cnki.issn1000-5862.2019.04.04]
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指数-威布尔分布参数的经验Bayes检验问题()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2019年04期
页码:
348-352
栏目:
数学与应用数学
出版日期:
2019-08-10

文章信息/Info

Title:
The Empirical Bayes Test for Parameter of Exponential-Weibull Family
文章编号:
1000-5862(2019)04-0348-05
作者:
桂国祥1黄 娟2
1.江西师范大学数学与信息科学学院,江西 南昌 330022; 2.广东海洋大学数学与计算机学院,广东 湛江 524088
Author(s):
GUI Guoxiang1HUANG Juan2
1.College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 2.College of Mathematics and Computer,Guangdong Ocean University,Zhanjiang Guangdong 524088,China
关键词:
长程负相协 经验Bayes检验 渐近最优性 收敛速度
Keywords:
long range negative associated empirical Bayes test asymptotic optimality convergence rates
分类号:
O 212.7
DOI:
10.16357/j.cnki.issn1000-5862.2019.04.04
文献标志码:
A
摘要:
利用经验贝叶斯方法研究了在线性损失下指数-威布尔分布参数的经验Bayes检验问题,构造了在历史样本是长程相协样本下的参数经验Bayes检验函数,并证明了所提出的经验Bayes检验函数满足渐近最优(a.o.)性及给出了该函数的收敛速度.
Abstract:
The empirical Bayes test problem for parameter of Exponential-Weibull distribution under linear loss is studied by the empirical Bayes approach.Test rule for the parameter of Exponential-Weibull distribution is constructed under the condition that the past samples are long range associated.The asymptotically optimal property and convergence rates for the proposed empirical Bayes test rules are obtained.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-12-15
基金项目:国家自然科学基金(71361015)和广东省自然科学基金(2018A030307070,2016A030313812)资助项目.
作者简介:桂国祥(1981-),男,江西临川人,讲师,主要从事数理统计及其应用方面的研究.E-mail:1744974563@qq.com
更新日期/Last Update: 2019-08-10