Identifiability of compound poisson distributions
- 1 January 1983
- journal article
- research article
- Published by Taylor & Francis in Scandinavian Actuarial Journal
- Vol. 1983 (1) , 39-45
- https://doi.org/10.1080/03461238.1983.10408688
Abstract
Compound Poisson distributions (CPD's) are frequently used as alternatives in studying situations where a simple Poisson model is found inadequate to describe. In this paper an attempt is made to identify compound Poisson distributions when it is known that the conditional distribution of two random variables (r. v .'s) is compound binomial. Some interesting special cases and their application to accident theory are discussed.Keywords
All Related Versions
This publication has 5 references indexed in Scilit:
- On the Relationship between the Conditional and Unconditional Distribution of a Random VariablePublished by Springer Nature ,1981
- Chance Mechanisms for the Univariate Generalized Waring Distribution and Related CharacterizationsPublished by Springer Nature ,1981
- On representation of Poisson mixtures as Poisson sums and a characterization of the gamma distributionMathematical Proceedings of the Cambridge Philosophical Society, 1977
- Characterizations of the Poisson distribution based on random splitting and random expandingDiscrete Mathematics, 1975
- Some Bivariate Probability Models Applicable to Traffic Accidents and FatalitiesInternational Statistical Review, 1973