The M/G/∞ estimation problem revisited

Alexander Goldenshluger

doi:10.3150/17-BEJ936

The M/G/∞ estimation problem revisited

Alexander Goldenshluger

Department of Statistics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

The subject of this paper is the M/G/∞ estimation problem: the goal is to estimate the service time distribution G of the M/G/∞ queue from the arrival–departure observations without identification of customers. We develop estimators of G and derive exact non-asymptotic expressions for their mean squared errors. The problem of estimating the service time expectation is addressed as well. We present some numerical results on comparison of different estimators of the service time distribution.

Original language	American English
Pages (from-to)	2429-2460
Number of pages	32
Journal	Bernoulli
Volume	24
Issue number	4A
DOIs	https://doi.org/10.3150/17-BEJ936
State	Published - Nov 2018

Keywords

M/G/∞ queue
Nonparametric estimation
Poisson point process
Rates of convergence

All Science Journal Classification (ASJC) codes

Statistics and Probability

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10.3150/17-BEJ936

Cite this

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KW - Poisson point process

KW - Rates of convergence

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The M/G/∞ estimation problem revisited

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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