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

Description: This session from the 1983 SOA Hollywood, Florida Meeting discusses the practical application of risk analysis technique In Health Insurance. This includes using company claim information and multinomial distributions for predictive purposes and using this information to price health insurance. From Record of Society of Actuaries Vol. 9, No. 4

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 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 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: 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 presentation is a concurrent session from the 1980 Annual Meeting of the Society of Actuaries, held October 20-22 in Montreal. This session was arranged by the American Statistical Association, ‘ASA,’ and the five panelists are biostatisticians, the moderator being the sole actuary. It is the result of efforts by the ASA and SOA to work together and provide sessions at each other’s meetings. The panelists discuss specialized techniques developed for making greater use of noninsurance studies such as medical follow-ups and clinical trial analyses, which may, because of their nature, involve relatively small groups, and compare them with the more traditional actuarial methodology. Discussion from participants is included. From the Record of Society of Actuaries, Volume 6, No. 4.

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: 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.