Unique Properties of Some Distributions and Their Applications

John Panaretos

MPRA Paper from University Library of Munich, Germany

Abstract: In many practical situations bivariate probability distributions are used whose marginals are of the same form. Sometimes however, in cases of a not too good fit, one of the marginals appears to describe the corresponding observed data exceptionally well while the other provides a rather poor fit. The bivariate model then has to be questioned. This paper suggests ways in which characterization theorems can be used to explain this paradox and also guide the investigator's choice towards possible alternative models that might provide a better fit

Keywords: Poisson Distribution; Negative Binomial Distribution; Binomial Distribution; Compounding; Characterization; Accident Statistics (search for similar items in EconPapers)
JEL-codes: C1 (search for similar items in EconPapers)
Date: 1982
References: Add references at CitEc
Citations:

Published in Proceedings of the Annual Meeting of the American Statistical Association, (Social Statistics Section) (1982): pp. 459-462

Downloads: (external link)
https://mpra.ub.uni-muenchen.de/6245/1/MPRA_paper_6245.pdf original version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:6245

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.
Bibliographic data for series maintained by Joachim Winter (winter@lmu.de).