The aggregate claim amount in a particular time period is a quantity of fundamental importance for proper management of an insurance company and also for pricing of insurance coverages. In this paper, the usual stochastic order between aggregate claim amounts is discussed when the survival function of claims is a increasing and concave. The results established here complete some results of Li and Li (2016).
Barmalzan G. Stochastic Comparison of Aggregate Claim Amounts Among Two Heterogeneous Portfolios. JSS 2019; 12 (2) :395-412 URL: http://jss.irstat.ir/article-1-514-en.html