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: Multiple decrement theory traditionally is based on the assumption that competing causes of decrement are stochastically independent even though this assumption is usually not true in reality. This paper presents some fundamental results towards a dependent decrement theory. First, the author shows how to model dependence with copula functions, then he presents a theorem that characterizes the mathematical relationship between the crude and net probabilities when the decrements are dependent, and finally he applies the results by examining the effect of removing cancer from the United States population when cancer is correlated with the other causes of death. From Actuarial Research Clearing House 1994, VOL. 1.

Description: This is the abstract of the paper entitled 'On Simulating the Total Claims Distribution' by Bruce L. Jones. From ACTUARIAL RESEARCH CLEARING HOUSE, 1994 VOL. 1.

Description: Under Yaari's dual theory of risk, this paper determines the equilibrium separating contracts for high and low risks in a competitive insurance market, in which risks are defined only by their expected losses, that is, a high risk is a risk that has a greater expected loss than a low risk. The authors also determine the pooling equilibrium contract when insurers are assumed non-myopic. Utility theory generally predicts that optimal insurance indemnity payments are nonlinear functions of the underlying loss due to the nonlinearity of agents' utility functions. Under Yaari's dual theory, the authors show that under mild technical conditions the indemnity payment is a piecewise linear function of the loss, a common property of insurance coverages.

Description: This dissertation is about methods for assessing mortality risk in regard to insurance and annuity transactions. Although the basic methods and formulas are general, most of the applications made here deal with life annuity transactions, with particular emphasis on pension situations.

Description: The Karup-King formula with equal intervals has an elegant symmetric structure providing for efficient calculation. This paper traces the algebra involved in a generalization of this formula to the case of unequal intervals. So far, this formula does not have an elegant structure. However, a degree of elegance can be obtained in terms of matrix notation which can readily be used with a computer language such as APL.

Description: This 1979 session is about recent advances in Prediction Theory. Topics included: 1. Statistical methods to predict path properties of a Time Series. 2. How and to what extent Box-Jenkins Time Series methods can be modified to predict two or more time series simultaneously. 3. Workable techniques that are already being successfully used in practice.

Description: A presentation on the principle of equivalent utility from the 2001 ARCH. Contains both the static and dynamic model as well as examples with exponential utility.

Description: This paper describes risk-factor-dependent multiple decrements and actuarial cost functions as a general compartment model, a discrete time and discrete state stochastic model of morbidity and mortality processes. For large numbers of risk factors, the model is extended to its natural continuous time and state form. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: Opinion piece about when, how, and why actuaries need approximations.