Beta Transformation. Beta Type Self-Decomposability And Related Characterizations
Brazilian Journal of Probability and Statistics
A new specific transformation of non-negative integer valued random variables is introduced, and its properties are studied. An extended version of the discrete self-decomposability is defined and related characterizations of the geometric and negative binomial distributions are obtained. Applications of the proposed parameterization to the search of a model which better fits frequency data are illustrated with an example.
© 2000 Associação Brasileira de Estatística
Dimitrov, Boyan N. and Kolev, Nikolai, "Beta Transformation. Beta Type Self-Decomposability And Related Characterizations" (2000). Mathematics Publications. 44.