Bayesian estimation of the expected queue length of a system M/M/1 with certain and uncertain priors

被引：2

作者：

Kiapour, Azadeh ^{[1
]}

机构：

[1] Islamic Azad Univ, Babol Branch, Dept Stat, Babol, Iran

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2022年 / 51卷 / 15期

关键词：

E-Bayes estimation; M; 1; queue; scale invariant squared error loss function; traffic intensity; PREDICTION;

D O I：

10.1080/03610926.2020.1838543

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

One of characteristics of the traffic intensity in M/M/1 queue is the expected queue length. In this article, the problem of Bayes, E-Bayes, and robust Bayes estimation of the expected length in a M/M/1 queue system under a scale invariant squared error loss function is considered. We find the Bayes, E-Bayes, and robust Bayes estimators of the expected length. Finally, a simulation study is conducted for comparison of the proposed Bayes estimators.

引用

下载

页码：5310 / 5317

页数：8

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