Maximum Likelihood Estimation in Single Server Queues

Saroja Kumar Singh ()
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Saroja Kumar Singh: Sambalpur University

Sankhya A: The Indian Journal of Statistics, 2023, vol. 85, issue 1, No 38, 947 pages

Abstract: Abstract 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.

Keywords: G I/G/1 queue; maximum likelihood estimation; consistency; asymptotic normality.; 60K25; 62F12 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13171-022-00283-6

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