MIXED POISSON DISTRIBUTIONS ASSOCIATED WITH HAZARD FUNCTIONS OF EXPONENTIAL MIXTURES

Ottieno, Joseph A. M.; Wakoli, Moses W.

dc.contributor.author	Ottieno, Joseph A. M.
dc.contributor.author	Wakoli, Moses W.
dc.date.accessioned	2020-02-15T11:47:39Z
dc.date.available	2020-02-15T11:47:39Z
dc.date.issued	2015
dc.identifier.issn	2224-5804 (Paper)
dc.identifier.issn	2225-0522 (Online)
dc.identifier.uri	http://localhost:8282/xmlui/handle/123456789/285
dc.description	Research paper	en_US
dc.description.abstract	The hazard function of an exponential mixture characterizes an in-nitely divisible mixed Poisson distribution which is also a compound Poisson distribution. Given the hazard function, the probability generating functions (pgf) of the compound Poisson distribution and its independent and identically distributed (iid) random variables are derived. The recursive forms of the distributions are also given. Hofmann hazard function has been discussed and re-parameterized. The recursive form of the distribution of the (iid) random variables for the Hofmann distribution follows Panjer's model. Key words: Mixed Poisson distributions, Laplace transform, expo-nential mixtures, complete monotocity, in_nite divisibility, compound Poisson distribution, Hofmann distributions, Panjer's model.	en_US
dc.description.sponsorship	Author	en_US
dc.language.iso	en	en_US
dc.publisher	Mathematical Theory and Modeling IISTE	en_US
dc.subject	Panjer's model	en_US
dc.subject	Hofmann distributions	en_US
dc.subject	compound Poisson distribution	en_US
dc.subject	in_nite divisibility	en_US
dc.subject	complete monotocity	en_US
dc.subject	expo-nential mixtures	en_US
dc.subject	Laplace transform	en_US
dc.subject	Mixed Poisson distributions	en_US
dc.title	MIXED POISSON DISTRIBUTIONS ASSOCIATED WITH HAZARD FUNCTIONS OF EXPONENTIAL MIXTURES	en_US
dc.type	Article	en_US