Description: The objective of this paper from the Transactions of Society of Actuaries 1964, Vol. 16, Pt. 1, No. 44 AB, is to illustrate some of the alternative approaches to making approximate probability statements about the present value of life annuities assuming a specified distribution of the random variable, time until death, and a fixed interest rate.

Description: This paper derives a formula for approximating the ruin function of collective risk theory. Use of the ruin function to determine the amount of initial capital needed for a new line of business is discussed. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 59 AB.

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 paper presents an algorithm for approximating the probability of ruin for a Poisson process - which is often used to model an aggregate claims process.

Description: This paper describes how Markov chain Monte Carlo and related methods recently presented in the statistical literature can be used to quickly and efficiently simulate random draws from distributions with log-concave or nearly log-concave densities. From Transactions of Society of Actuaries 1995, Vol. 47.

Description: This paper presents a policy-year model for GAAP valuation of reinsurance accepted on the coinsurance and modified coinsurance bases. Also presented are the interrelationships between the model's methodology and statutory accounting procedures, a discussion of experience-refunding situations, and a demonstration of the model's ability to yield GAAP profits as a level percentage of premium. From Transactions of Society of Actuaries 1981, Vol. 33.

Description: This paper discusses the Whittaker-Henderson graduation method. From Transactions of Society of Actuaries 1984, Vol. 36.

Description: This paper reviews the applications of operations research methods in the insurance industry. From Transactions of Society of Actuaries 1995, Vol. 47.