Description: Statistical properties of interest, annuity and insurance functions are examined when mortality and interest are treated as having a random component. Several special models of interest rate fluctuation are examined in detail. It is hoped that such theory will be useful in developing fluctuation reserves and premium margins. Presented at the 13th Annual Actuarial Research Conference, Ball State University, August 31st. September lst, 2nd. 1978.

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: In this paper, Lagrangian distributions are reviewed and some of their properties are studied. Recursive methods are proposed to calculate compound Lagrange distributions. Some examples for a sub-family of Lagrangian Distributions and its compound distributions are studied.

Description: This is the abstract of the referenced paper which studies the mortality of left-handed baseball players versus that of right-handed players by examining the times and ages of death of more than 6,000 players who died before 1990. From Actuarial Research Clearing House 1994, VOL. 1.

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.

Description: This paper investigates the accuracy of loss reserves by comparing some reserves with the actual results five years hence. The ultimate purpose was to provide an estimate of the amount of variability which cannot be explained by listed factors. The resulting amount of variability gives an indication of the amount required for a provision for adverse deviation. From Actuarial Research Clearing House 1991, VOL. 1

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: 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.