Moment Characteristics of the Compound Poisson Law Generalized by the Poisson Distribution |
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| Authors: | A. G. Belov V. Ya. Galkin |
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| Affiliation: | (1) Department of Parasitology, Leiden University Medical Centre, Leiden, The Netherlands;(2) Service Bioinformatique, Institut CURIE, Paris, France;(3) Department of Systems Analysis, Belarusian State University, Minsk, Belarus;(4) Department of Molecular Cell Biology, Leiden University Medical Centre, Leiden, The Netherlands; |
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| Abstract: | For a compound Poisson law generalized by a Poisson distribution we give explicit representations of the moment characteristics (ordinary and factorial cumulants, initial, factorial, binomial, and central moments), prove various recurrences in finite-difference and differential forms. It is applied for numerical construction of moment characteristics in direct and inverse problems solved by moment methods. |
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