PROBLEMS OF STATISTICAL INFERENCE FOR BIRTH AND DEATH QUEUEING MODELS
CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER
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A large sample theory is presented for birth and death queueing processes which are ergodic and metrically transitive. The theory is applied to make inferences about how arrival and service rates vary with the number in the system. Likelihood ratio tests and maximum likelihood estimators are derived for simple models which describe this variation. Composite hypotheses such as that the arrival rate does not vary with the number in the system are considered. A numerical example illustrating these results is presented which includes the testing of both true and false composite hypotheses.
- Operations Research