Multivariate Compound Poisson Distributions and Infinite Divisibility
Copyright policy )Multivariate Compound Poisson Distributions and Infinite Divisibility
AbstractIn this note we give a multivariate extension of the proof of Ospina & Gerber (1987) of the result of Feller (1968) that a univariate distribution on the non-negative integers is infinitely divisible if and only if it can be expressed as a compound Poisson distribution.
compound Poisson, Characterization and structure theory of statistical distributions, multivariate recursions, Infinitely divisible distributions; stable distributions, characterization, infinitely divisible, recursive formulas, Feller's theorem
compound Poisson, Characterization and structure theory of statistical distributions, multivariate recursions, Infinitely divisible distributions; stable distributions, characterization, infinitely divisible, recursive formulas, Feller's theorem
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