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 presentation discusses a process for determining the minimum reinsurance retention level consistent with defined parameters. The conclusions reached were: 1. Under PDS dependence, optimal reinsurance strategy is multivariate stop loss form. 2. Explicit solutions could be derived in certain bivariate model. 3. Binding and unbinding constraints are equivalent. From Actuarial Research Clearing House, 2012, Vol. 1.

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

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: At this session, experts will provide an overview of current statutory valuation issues pertaining to life and annuity products. The focus is on activities of the American Academy of Actuaries relative to principle-based approaches, but other matters will be covered, including the status of the NAIC valuation manual, life risk-based capital, developments at the NAIC affecting life insurance companies, and practice issues for appointed actuaries.

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 develops some new uses of the Choleski factor matrix, including modeling serial correlation, adding asset classes with contingent returns, adjusting premliminary results to final targets, and adjusting large unfactorable matrices. From Actuarial Research Clearing House 1993, VOL. 3.

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: In this paper the authors analyze data from group medical expense insurance claims and show that many insurance loss distributions have very 'heavy tails' because large losses represent a disproportionate fraction of the total cost. They also present a simple model to reproduce and explain the large loss behavior. From Actuarial Research Clearing House 1990, VOL. 2

Description: The basic principle introduced in this paper is that the expected value of receipts on any insurance policy is equal to the expected value of payouts. Using an expected value approach, rather than present values, offers an interesting conceptual framework which might provide a possible starting point in risk theory to consider statistical variation about these expected values.