Description: This paper introduces a new direction for evaluating numerically survival probabilities pointed out by H. Seal in his book ‘Survival Probabilities: The goal of Risk Theory’. Some of special cases can be considered as a weighted Poisson process with an infinitely divisible mixing distribution. This property is well known for the negative binomial case [gamma mixing distribution].

Description: The standard deviation of the present value of benefits of portfolios of identical insurance contracts are examined when both the mortality and the force of interest are stochastic. Several models for the force of interest are presented. The impact of the different stochastic models for the force of interest and of different parameters on the mortality risk and the interest risk is investigated. From Actuarial Research Clearing House 1994, VOL. 1.

Description: The two-parameter Pareto distribution is a commonly used model in reliability and risk modeling. Minimum variance unbiased estimates of the parameters of Pareto distribution are not known. In this paper, we propose and investigate a method of estimation of the parameters of the Pareto distribution. This method is based on minimization of the Kolmogorov-Smirnov distance between the empirical cumulative distribution function [cdf] and the cdf of the Pareto distribution.

Description: This is the abstract of a paper that derives expressions for the moments of the distribution of the option payoff in a Black Scholes economy. These results are of interest from a purely statistical viewpoint. They may also be of interest given the current importance of value at risk calculations. The paper also derives formulae for the moments of barrier options and provides numerical examples.

Description: This is the abstract of an article about the classical Lundberg inequality of insurance risk theory. From ACTUARIAL RESEARCH CLEARING HOUSE 1994 VOL. 1.

Description: This is the abstract for the referenced paper on the subject of Lundberg bounds on the tails of compound distributions. From ACTUARIAL RESEARCH CLEARING HOUSE 1980 VOL. 2.

Description: Random sum models with compound distributions are used extensively in modeling of insurance risks. Unfortunately, the compound distributions themselves are awkward to evaluate. Consequently, various numerical and analytical approximative techniques have been used. In this talk we derive various upper and lower bounds on the tails of compound distributions. Some notions in reliability theory are used.

Description: A theoretical study of the interrelationship between the financial and insurance risk markets.

Description: This presentation defines the risks in the context of pension plans and reviews their relationship. From 2000 ARCH, Quebec City, Canada., January 2000.