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January  2020, 5: 2 doi: 10.1186/s41546-020-00044-z

## Moderate deviation for maximum likelihood estimators from single server queues

 P. G. Department of Statistics, Sambalpur University, Odisha, India

Received  February 26, 2019 Published  March 2020

Consider a single server queueing model which is observed over a continuous time interval (0,T], where T is determined by a suitable stopping rule. Let θ be the unknown parameter for the arrival process and $\hat {\theta }_{T}$ be the maximum likelihood estimator of θ. The main goal of this paper is to obtain a moderate deviation result of the maximum likelihood estimator for the single server queueing model under certain regular conditions.
Citation: Saroja Kumar Singh. Moderate deviation for maximum likelihood estimators from single server queues. Probability, Uncertainty and Quantitative Risk, 2020, 5 (0) : 2-. doi: 10.1186/s41546-020-00044-z
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