S. Satheesh, N. Unnikrishnan Nair
Published 2003-11-20Version 1
A method for constructing distributions on the non negative integers as discrete analogue of continuous distributions on the non negative real is presented. A justification of the definition of discrete self decomposable laws is provided. Discrete analogue of distributions of the same type and the role of Bernoulli law in this context is discussed. Generalizations of some discrete laws and their properties are given. The geometric compounding problem for discrete distributions is studied by introducing discrete semi Mittag Leffler laws.
Comments: 16 pages, in PDF format, two notes added at the end of the paper
Journal: J. Ind. Statist. Assoc., 2002, Vol.40, p.41-58
Covariance Identities and Variance Bounds for Infinitely Divisible Random Variables and Their Applications
Second-order asymptotics for convolution of distributions with exponential tails
Symmetric representations of distributions over $\mathbb{R}^2$ by distributions with not more than three-point supports
![QR code for arXiv:math/0311351 [math.PR]](http://oss.arxitics.com/images/favicon.svg)