Author:
Zhang Zhehao,Li Shuanming
Abstract
AbstractThis paper starts with the Beta transform and discusses the stochastic ordering properties of this transform under different parameter settings. Later, the distribution of discounted aggregate claims in a compound renewal risk model with dependence between inter-claim times and claim sizes is studied. Recursive formulas for moments and joint moments are expressed in terms of the Beta transform of the inter-claim times and claim severities. Particularly, our moments formula is more explicit and computation-friendly than earlier ones in the references. Lastly, numerical examples are provided to illustrate our results.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,Economics and Econometrics,Statistics and Probability
Reference32 articles.
1. The distribution of discounted compound PH–renewal processes;Wang;Methodology and Computing in Applied Probability,2016
2. A note on discounted compound renewal sums under dependency;Woo;Insurance: Mathematics and Economics,2013
3. The total claims distribution under inflationary conditions
4. Probability of Ruin under Inflationary Conditions or under Experience Rating
5. On the Laplace Transform of the Aggregate Discounted Claims with Markovian Arrivals
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献