Survival probabilities for compound binomial risk model with discrete phase-type claims

Year 2016, Volume: 65 Issue: 2, 11 - 22, 01.08.2016

Altan Tuncel

https://doi.org/10.1501/Commua1_0000000755

Cited By: 1

Abstract

Due to having useful properties in approximating to the other
distributions and mathematically tractable, phase type distributions are commonly used in actuarial risk theory. Claim occurrence time and individual
claim size distributions are modelled by phase type distributions in literature.
This paper aims to calculate the survival probabilities of an insurance company under the assumption that compound binomial risk model where the
individual claim sizes are distributed as discrete Phase Type distribution

Keywords

Compound binomial risk model, phase-type claims, non-homogenousclaim occurrence, survival probabilities

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• Current address : Altan TUNCEL: Kirikkale University, Faculty of Arts and Sciences, Depart- ment of Actuarial Sciences, Yahsihan- Kirikkale, TURKEY
• E-mail address : [e-mail]