Sankhya: The Indian Journal of Statistics

1996, Volume 58, Series B, Pt. 2, pp. 159--169

SOME ASPECTS OF GENERALIZED QUASI FACTORIAL SERIES DISTRIBUTIONS

By

KISHORE K. DAS, Institute of Advanced Study in Science and Technology

SUMMARY.  In this study we consider a class of discrete distributions, viz., generalized quasi factorial series of distributions (GQFSD's), generated by expanding suitable functions of parameters in factorial series. Well-known as well as new distributions occurring in capture-recapture analysis, ballot problems, among others, are generated from the GQFSD-family. Some applications of the GQFSD-family are cited.

AMS (1992) subject classification.  60E05, 62E15, 62P10, 62P20, 62P25, 62P99.

Key words and phrases. Generalized quasi factorial series distribution, quasi Stirling number, C-number, associated Lah number, modified Stirling number of second kind.

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