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Periodic Poisson Processes and Almost-lack-of-memory Distributions
Authors:B N Dimitrov  V V Rykov  Z L Krougly
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
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.
Keywords:
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