Abstract:
The mathematical model of a queuing system with the Poisson time moments of inputs is considered. Practically, in banking and in insurance the following question is vital: does the input flow intensity grow on a certain time interval? In this article the tests for this statistical hypothesis are proposed and their asymptotic properties are examined.
Keywords:queueing system, Poisson flow, input flow intensity, likelihood ratio test, least squares method, hypothesis of Poisson flow homogeneity.
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