Description: The analysis presented is based on several standard but nonelementary theorems of mathematical statistics.

Description: This paper defines a general model for arbitrary units and gives formulas for computing the variance and mean squared error of decrement estimators. It is observed that, in small studies, the mean squared error is reduced by counting lives, even if the probability of death depends somewhat on the amount of insurance. From Transactions of Society of Actuaries 1981, Vol. 33.

Description: In this paper an algorithm is derived for computing the distribution of aggregate claims for the individual risk theory model. From Transactions of Society of Actuaries 1983, Vol. 35.

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 presents best upper and lower bounds on the expected value of an insurance payment under the terms of a contract written on a random loss with known moments. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: This paper is concerned with the determination of credibility factors applicable to the estimation of the true claim level of a particular risk, based on both the actual observed claim experience of that risk and the expected claim level that would be predicted for the risk according to its exposure characteristics. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 59 AB.

Description: This paper investigates how the concepts of asset-liability matching can be used to shape investment strategy. From Transactions of Society of Actuaries 1980, Vol. 32.

Description: A simplified model adapts very easily to simulation by a computer, and this is what the author has done with several selected pairs of probability distributions in order to calculate the probability of a casualty company's being ruined shortly after its establishment. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 61.

Description: Shiu derives two formulas for calculating the probability of eventual ruin in a collective risk model. This paper implements one of the formulas by incorporating an algorithm to reduce round-off error due to convolution. It gives the results of the programs for some claim distributions.

Description: This discussion at the SOA 1968 Philadelphia and Los Angeles Regional Meetings is about corporate planning and the actuary's role in the process.