Description: This is the abstract for the referenced paper on the subject of Lundberg bounds on the tails of compound distributions. From ACTUARIAL RESEARCH CLEARING HOUSE 1980 VOL. 2.

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: This is the abstract of an article about the classical Lundberg inequality of insurance risk theory. From ACTUARIAL RESEARCH CLEARING HOUSE 1994 VOL. 1.

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 considers the distribution of aggregate claims of an insurer. The general form of the distribution is considered initially, and, after a few mild restrictions are imposed, it is characterized as being a compound distribution. Followed by one submitted discussion paper.

Description: The objective of this paper is to present and to apply a numerical method in the calculation of the minimal and maximal ultimate ruin probabilities in two risk models given some moment constraints on the individual claimsize distribution. An application of this optimization problem is to find the extremal lower and upper bounds of the ultimate ruin probabilities given those constraints. The paper considers the classical risk models with constant and variable premiums.

Description: It is the purpose of this paper to outline the reasoning behind the Catastrophic Accident Hazard and some of the details of a reinsurance arrangement with Lloyds of London for managing this risk. Paper is followed by 2 discussion papers

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 report introduces quantum computing to actuaries. In addition, this research will assess and identify areas in the insurance field where quantum computing can make a difference, accompanied with suggested algorithms.