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.
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页码：931 / 947
页数：17
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