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 reviews recursive formulas for aggregate claim distributions. Followed by a submitted discussion paper

Description: Usual treatments of multiple-decrement theory are on a nonselect basis, with all rates of decrement depending only on attained age. This paper develops the theory on a select basis, carried out fully in the stochastic framework. The relationship between select periods in a multiple-decrement model and those of the associated single-decrement models is investigated. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: This paper applies the duality theory of linear programming to provide insights for generalizing and solving the cash-flow matching problem.

Description: In this paper, the coefficients of the minimum-Rz moving-weighted-average formulas are derived using matrix algebra and the method of Lagrange multipliers. Reviewer's note: This mathematics can be useful in the graduation process of mortality and morbidity table construction

Description: Reports generally display tables of data broken down by many variables. This paper presents a variation of the Whittaker-Henderson graduation method that may be used to graduate such multidimensional data. Followed by several discussion papers submitted