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
收藏
页码:931 / 947
页数:17
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