Description: This paper on the duality between uniform deaths and Balducci assumptions was motivated by earlier referenced works in which exposure formulas based upon the assumption of the uniform distribution of deaths were analysed. From ACTUARIAL RESEARCH CLEARING HOUSE, 1980 VOL. 2.

Description: This paper develops a parametric model for health care insurance claims to fit parametric models to the data. Model selection is based on the ChJ-squared goodness-of-fit test and a comparison of the empirical limited expected value function to parametric limited expected value functions. A copula function was used to model the bivariate portion of the data. From Actuarial Research Clearing House 1993, VOL. 3.

Description: Option bounds are obtained in a discrete-time framework with transaction costs. The model represents an extension of the Cox-Ross-Rubinstein binomial option pricing model to cover the case of proportional transaction costs. The method proceeds by constructing the appropriate replicating portfolio at each trading interval. From Actuarial Research Clearing House 1991, VOL. 1.

Description: The purpose of this paper is to explore the rationale underlying the development of the family of linear compound graduation formulas. As the title suggests, this paper also attempts to defend the Min-Ro member of that family against the unqualified charge that it is a 'poor' graduation method. It concludes with a description of a simple modification of the Min-Ro, and an analysis of the improvement obtained by that modification.

Description: This is a brief summary of a paper about the process of modelling uncertainty. The focus is on making inferences about some quantity of interest which, at present, has been unobserved, such as the probability of ruin of a surplus process or the accumulation of an investment.

Description: The purpose of this paper is to introduce some actuarial applications of Tchebyshef's Inequality.

Description: This article discusses a continuous estimator of a mixing distribution. Specifically the estimator investigated is a mixture of gamma distributions whose parameters are calculated by considering the determinants of certain moment matrices. From Actuarial Research Clearing House 1993, VOL. 2.

Description: This is an abstract of a 1998 presentation from the 33rd Annual Actuarial Research Conference that introduces a family of fractional age assumptions and discusses its usefulness in estimating mortality rates and calculating actuarial present values. Members of the family include the familiar uniform distribution of deaths, constant force, and Balducci assumptions.

Description: This paper presents best upper and lower bounds on the expected value of a reinsurance payment under the terms of a contract written on a random loss with known moments. Bounds on the expected exercise value of a financial option are considered also because the mathematical model used for valuing options is similar to that used in reinsurance net premium calculations. From the Actuarial Research Clearing House ARCH 1990 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.