Maximum Likelihood Estimation in Single Server Queues

被引：0

作者：

Singh, Saroja Kumar ^{[1
,2
]}

机构：

[1] Sambalpur Univ, Dept Stat, Sambalpur 768019, Odisha, India

[2] Cent Univ Odisha, Dept Stat, Koraput 763004, Odisha, India

来源：

SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY | 2023年 / 85卷 / 01期

关键词：

GI/G/1; queue; maximum likelihood estimation; consistency; asymptotic normality;

D O I：

10.1007/s13171-022-00283-6

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：

In this paper, maximum likelihood estimation for the parameters in a single server queues are investigated. The queues are observed over a continuous time interval (0, T], where T is determined by a suitable stopping rule. The existence of the maximum likelihood estimator is proved by applying Rolle's theorem. Also, we have obtained the limiting distribution of the error of estimation.

引用

页码：931 / 947

页数：17

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