Two-stage and sequential procedures for estimation of powers of parameter of a family of distributions

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY Sequential Analysis-Design Methods and Applications Pub Date : 2021-06-02 DOI:10.1080/07474946.2021.1912510

Ajit Chaturvedi, Sudeep R. Bapat, Neeraj Joshi

引用次数: 1

Abstract

Abstract For the generalized positive exponential family of distributions, the problems of confidence interval estimation, bounded risk point estimation, and minimum risk point estimation of the rth power of unknown parameter θ are handled. Two-stage and purely sequential methodologies are developed for the estimation purpose. Sequential procedures are developed based on the maximum likelihood estimator (MLE) of the parameter. The exact operating characteristics of these procedures are given.

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一类分布族参数幂的两阶段连续估计方法

摘要对于广义正指数分布族，讨论了未知参数θ的四次方的置信区间估计、有界风险点估计和最小风险点估计问题。为了估计目的，开发了两个阶段和纯顺序的方法。序列程序是基于参数的最大似然估计量（MLE）开发的。给出了这些程序的确切操作特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sequential Analysis-Design Methods and Applications STATISTICS & PROBABILITY-

CiteScore

1.40

自引率

12.50%

发文量

期刊介绍： The purpose of Sequential Analysis is to contribute to theoretical and applied aspects of sequential methodologies in all areas of statistical science. Published papers highlight the development of new and important sequential approaches. Interdisciplinary articles that emphasize the methodology of practical value to applied researchers and statistical consultants are highly encouraged. Papers that cover contemporary areas of applications including animal abundance, bioequivalence, communication science, computer simulations, data mining, directional data, disease mapping, environmental sampling, genome, imaging, microarrays, networking, parallel processing, pest management, sonar detection, spatial statistics, tracking, and engineering are deemed especially important. Of particular value are expository review articles that critically synthesize broad-based statistical issues. Papers on case-studies are also considered. All papers are refereed.