Article
A FAMILY OF ABEL SERIES DISTRIBUTIONS OF ORDER k
Pak. J. Statist. 2008 Vol. 24(3), 01/2008; 24:173178.
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Article: On discrete distributions of order k
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ABSTRACT: The class of discrete distributions of orderk is defined as the class of the generalized discrete distributions with generalizer a discrete distribution truncated at zero and from the right away fromk+1. The probability function and factorial moments of these distributions are expressed in terms of the (right) truncated Bell (partition) polynomials and several special cases are briefly examined. Finally a Poisson process of orderk, leading in particular to the Poisson distribution of orderk, is discussed.Annals of the Institute of Statistical Mathematics 11/1986; 38(1):557568. · 0.74 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: A new generalization of the Poisson distribution, with two parameters λ1 and λ2, is obtained as a limiting form of the generalized negative binomial distribution. The variance of the distribution is greater than, equal to or smaller than the mean according as λ2 is positive, zero or negative. The distribution gives a very close fit to supposedly binomial, Poisson and negativebinomial data and provides with a model suitable to most unimodel or reverse Jshaped distributions. Diagrams showing the variations in the form of the distribution for different values of λ1 and λ2 are given.Technometrics 01/1973; 15(4):791799. · 1.42 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: In this paper an attempt is made to define the multivariate abel series distributions (MASDs) of order k. From MASD of order k, a new distribution called the quasi multivariate logarithmic series distribution (QMLSD) of order k is derived. Some well known distributions are also obtained by a new method of derivation. Limiting distribution of QNMD of order k are studied.Applied Mathematical Sciences. 01/2008; Vol. 2:2239  2246.
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