Summary
In this paper a simple characterization of the geometric distribution, in the class of discrete distributions with monotone hazard ratio, is provided. This result is used to construct a test for the hypothesis that the anival process of a discrete queueing model is a geometric process. The properties of the test, as well as those of its «bootstrapped version », are studied both theoretically and by Monte Carlo simulation.
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Conti, P.L. An asymptotic test for a geometric process against a lattice distribution with monotone hazard. J. Ital. Statist. Soc. 6, 213 (1997). https://doi.org/10.1007/BF03178913
DOI: https://doi.org/10.1007/BF03178913