Distributions with complete monotone derivative and geometric infinite divisibility

It is shown that a distribution with complete monotone derivative is geometrically infinitely divisible and that the class of distributions with complete monotone derivative is a proper subclass of the class of geometrically infinitely divisible distributions.

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Bibliographische Detailangaben
Veröffentlicht in:	Advances in applied probability 1990-09, Vol.22 (3), p.751-754
Hauptverfasser:	Pillai, R. N., Sandhya, E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Distribution theory Division Exact sciences and technology Laplace transformation Letters to the Editor Mathematics Probability and statistics Probability distributions Probability theory and stochastic processes Random variables Sciences and techniques of general use
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Beschreibung
Zusammenfassung:	It is shown that a distribution with complete monotone derivative is geometrically infinitely divisible and that the class of distributions with complete monotone derivative is a proper subclass of the class of geometrically infinitely divisible distributions.
ISSN:	0001-8678 1475-6064
DOI:	10.2307/1427468