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Large sample Bayesian analysis for geo/G/1 discrete-time queueing models
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DOI：10.1214/aos/1017939239.png)
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摘要
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In this paper, a nonparametric Bayesian analysis of queueing models with geometric input and general service time is performed. In particular, statistical inference for the probability generating function (p.g.f.) of the equilibrium waiting time distribution is considered. The consistency of the posterior distribution for such a p.g.f., as well as the weak convergence to a Gaussian process of a suitable rescaling, are proved. As by-products, results on statistical inference for queueing characteristics are also obtained. Finally, the problem of estimating the probability of a long delay is considered.
Keyword:
queues
consistency
asymptotics
Bernstein-von Mises theorem
teletraffic
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3.7
论文数:
2.8K
被引数:
2.9W
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