文章基本信息

标题：An Accelerated Sequential Class to Minimize Combined Risk for Simultaneous Estimation of Parameters of Several
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作者：Sunil Kumar ; Rahul Gupta ; Yodh Raj 等
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2012
卷号：8
期号：4
页码：737-748
DOI：10.1234/pjsor.v8i4.378
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：The fixed sample size procedure sometimes fail to deal with the estimation problem in which it is desired to control the combined risk associated with the estimation of parameters of various probability distributions simultaneously. In this paper for a general probabilistic model is proposed an “accelerated” sequential class to minimize the combined risk for simultaneous estimation of parameters of several probability distributions. The proposed class is shown to provide solutions for many estimation problems under different probabilistic setups for “ given precision ” problems. Besides, positive and negative moments for the stopping times are obtained and they are used for deriving the asymptotic expression for the “regret” associated with the class of “accelerated” sequential estimation procedure.