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.

Description: This paper discusses the numerical stability of Panjer's recursion in computing aggregate claims distributions. From Actuarial Research Clearing House 1993, VOL. 1.

Description: The results obtained during the last one-third of the research project and the project at whole are presented. The report only contains brief descriptions of the results which are placed in addendums and which are in reality copies of papers and a chapter of a book submitted for publication. Some theoretical and applied problems induced by the research are discussed.

Description: This paper presents an approach in which a defective renewal equation is solved in terms of a related compound geometric distribution. The advantage of this approach is discussed. The authors then apply this approach to a defective renewal equation which involves the time of ruin, the surplus before ruin and the total deficit at the time of ruin. They show how to compute the moments of the time of ruin as well as the joint distribution of the surplus before ruin and the deficit at the time of ruin. Two important cases in terms of claim size distributions are considered in detail. First, the authors consider exponential claim size distributions. They then consider a combination of two exponentials. The moments of the time of ruin are given in both cases.

Description: The insurance reserve for an individual contract can be pictured as a quantity which changes continuously from moment to moment in response to the forces of interest and mortality. A different mathematical model arises for each method of defining the death benefit, and in this paper a number of such mathematical models are analyzed. Followed by discussion papers submitted by several authors

Description: Article describes how to write effective model documentation

Description: This paper studies the statistical theory underlying minimum surplus required to protect a group insurer from the insurance, or C2, risk. Followed by 2 submitted discussion papers

Description: This presentation, session number 83CS at the 1999 Spring Meeting of the Society of Actuaries, held June 16-18 in Seattle, is a preview of an actual Course 7. The presenters, two experienced researchers, lead the discussion and a demonstration of a case study from the modeling Course 7. Discussion from participants is included. From the Record of the Society of Actuaries, Vol. 25, No. 2.

Description: In this paper, we propose measures of the risk that the value of the liabilities becomes larger than the value of the assets, and this especially for insurance companies. We study probabilities of mismatching and a degree of mismatching in unsegmented and multidimensional models of the balance, in which we stress the influence of interest rates on the active and passive side of the balance.

Description: This paper addresses some pervasive problems in using secondary data in actuarial research. An approach to solving these problems is based on information theory. From Transactions of Society of Actuaries 1995, Vol. 47.