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Statistical inference for G/M/1 queueing system. (English) Zbl 0657.62104
Maximum likelihood estimates of the parameters are derived for the G/M/1 queueing model with variable arrival rate. A simulated numerical example is used to illustrate its application for estimating the parameter when the interarrival time distribution is exponential. Problems of hypothesis testing are also investigated.

MSC:
62M05 Markov processes: estimation; hidden Markov models
60K25 Queueing theory (aspects of probability theory)
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