Abstract
Collective risk theory is concerned with the random fluctations of the total assets, the risk reserve, of an insurance company. Consider a company which only writes ordinary insurance policies such as accident, disability, fire, health, and whole life. The policyholders pay premiums regularly and at certain random times make claims to the company. A policyholder's premium, the gross risk premium, is a positive amount composed of two components. The net risk premium is the component calculated to cover the payments of claims on the average, while the security risk premium, or safety loading, is the component which protects the company from large deviations of claims from the average and also allows an accumulation of capital. When a claim occurs the company pays the policyholder a positive amount called the positive risk sum.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference8 articles.
1. Limit theorems for stochastic processes;Skorohod;Theor. Probability Appl.,1956
2. Convergence of Random Processes and Limit Theorems in Probability Theory
3. Weak convergence of stochastic processes defined on semi-infinite time intervals
4. Liggett T. and RoséN B. (1968) A note on the correspondence between weak convergence in the function spaces C[0, 1] and D[0,1]. To appear.
Cited by
136 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