Accession Number : AD0427802


Title :   FACTORIAL DISTRIBUTIONS,


Corporate Author : GEORGE WASHINGTON UNIV WASHINGTON D C


Personal Author(s) : Marlow,W H


Report Date : 14 Jan 1964


Pagination or Media Count : 13


Abstract : Certain nfinite series regarded as a family of discrete probability distrubutions are described. The approach is a 'most general' formulation based on factorial power functions. A theorem shows that the distributions form a two parameter family. Several corollaries show that the family is highly tractable, particularly in closed form expressions which exist not only for individual and cumulative probabilities but for various expectations as well. The family is also shown to be distinguished by, that corresponding to each value r = 0, 1, 2, ... there is a member distribution possessing its r-th moment but whose (r + 1) - st moment fails to exist. (Author)


Descriptors :   *PROBABILITY , STATISTICAL DISTRIBUTIONS , SERIES(MATHEMATICS) , TAYLORS SERIES , SPECIAL FUNCTIONS(MATHEMATICS)


Distribution Statement : APPROVED FOR PUBLIC RELEASE