Description: This paper discusses the numerical stability of Panjer's recursion in computing aggregate claims distributions. From Actuarial Research Clearing House 1993, VOL. 1.

Description: This panel discussion session focused on the practical applications of risk theory.

Description: Abstract for the paper which gives a unified approach to modern credibility models by using the theory of estimating functions.

Description: This paper is an attempt to examine transmission and incubation period models. Results are used to estimate the risk of HIV+ exposure of an individual company and the resulting reserve needs. From Transactions of Society of Actuaries 1989, Vol. 41.

Description: This paper considers the distribution of aggregate claims of an insurer. The general form of the distribution is considered initially, and, after a few mild restrictions are imposed, it is characterized as being a compound distribution. Followed by one submitted discussion paper.

Description: In this paper, the authors take an axiomatic approach to characterize insurance prices in a competitive market setting. Four axioms are presented to describe the behavior of market insurance prices. From these axioms it follows that the price of an insurance risk has a Choquet integral representation with respect to a distorted probability.

Description: This article discusses value at risk, VaR, and VaR modeling of the bank's portfolios that would recognize diversity and hedging. This article also covers the differences between classical VaR and the longer horizons required by the insurance industry and the feasibility of extending VaR to the insurance industry.

Description: Presented at October 1985 Annual Meeting. This session focused on three projects funded by the Actuarial Education and Research Fund: risk models, operations research applications for actuaries and probability modeling of losses.

Description: Several previous papers treat the rate of interest as a stochastic process in the determination of values of insurances and annuity functions. None of these papers consider the current interest rate as a starting point in the model. In this paper, autoregressive interest models, which are conditional upon current and past interest rates, are developed. It is shown how these models may be applied to the evaluation of moments of interest, insurance and annuity functions. Numerical results are also given.

Description: This article provides an an alternate, statistical approach, to graduation. Both single and multiple decrement models are considered and theoretical results are obtained for some specific mortality models. From: ACTUARIAL RESEARCH CLEARING HOUSE, 1979 VOL. 2.