Description: The net premium for insurance for expected loss in excess of a retention limit may be small, but the resulting variance of excess losses produces a standard deviation several times that of the premium. The purpose of this paper is to give a derivation and evaluation of the standard deviation of the excess losses.

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 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: A six-page article on an explicit formula for the probability of ruin. From Actuarial Research Clearing House 1993. VOL. 2.

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: This paper addresses the autoregressive model and shows that the boundedness restriction can be removed from the basic result on the probability of ruin. From Actuarial Research Clearing House 1991, VOL. 1.

Description: Different mortality projection methodologies are utilized by actuaries across applications and practice areas. As a result, the MIM Advisory Group developed a single framework to serve as a consistent base for practitioners in projecting mortality improvement.

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 shows that Balucci hypothesis imposed on a survivorship function over a closed interval is dual to the uniform distribution of deaths hypothesis imposed on the survivorship function over the same interval.