A Modified Model of Risk Business


Autoria(s): Minkova, Leda D.
Data(s)

23/02/2014

23/02/2014

2004

Resumo

2000 Mathematics Subject Classification: 60K10, 62P05

We consider the risk model in which the claim counting process {N(t)} is a modified stationary renewal process. {N(t)} is governed by a sequence of independent and identically distributed inter-occurrence times with a common exponential distribution function with mass at zero equal to ρ>0. The model is called a Polya-Aeppli risk model. The Cramer-Lundberg approximation and the martingale approach of the model are given.

This paper is partially supported by Bulgarian NFSI grant MM-1103/2001.

Identificador

Pliska Studia Mathematica Bulgarica, Vol. 16, No 1, (2004), 129p-135p

0204-9805

http://hdl.handle.net/10525/2316

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Polya-Aeppli Risk Model #Ruin Probability #Cramer-Lundberg Approximation
Tipo

Article