Periodic Poisson Processes and Almost-lack-of-memory Distributions |
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Authors: | B N Dimitrov V V Rykov Z L Krougly |
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Affiliation: | (1) Kettering University, Flint, Michigan, USA;(2) Gubkin State University of Oil and Gas, Moscow, Russia;(3) University of Western Ontario, London, Ontario, Canada |
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Abstract: | Certain characterization properties of time-varying periodic Poisson flows are studied in terms of almost-lack-of-memory (ALM) distributions. Parameter estimation formulas are derived. A method for verifying the hypothesis on the membership of a sample to the class of ALM-distributions is developed. Algorithms for computing critical levels and power of the likelihood ratio test by the Monte Carlo method are designed. |
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