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指数-威布尔分布参数的经验Bayes检验问题
The Empirical Bayes Test for Parameter of Exponential-Weibull Family
【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.
【关键词】 长程负相协;
经验Bayes检验;
渐近最优性;
收敛速度;
【Key words】 long range negative associated; empirical Bayes test; asymptotic optimality; convergence rates;
【Key words】 long range negative associated; empirical Bayes test; asymptotic optimality; convergence rates;
【基金】 国家自然科学基金(71361015);广东省自然科学基金(2018A030307070,2016A030313812)资助项目
- 【文献出处】 江西师范大学学报(自然科学版) ,Journal of Jiangxi Normal University(Natural Science Edition) , 编辑部邮箱 ,2019年04期
- 【分类号】O212.8
- 【下载频次】89