Description: This people provides a derivation of continuous and curtate inequalities of life contingent functions and shows how the proofs of the continuous inequalities are of an entirely different nature from the usual proofs for the curtate inequalities Followed by discussion papers submitted by several authors

Description: This paper develops explicit relationships connecting these reserve bases, and, in the course of this development, derives several new and interesting actuarial relationships, all of which can be generalized to the case of monthly premium payment computations. Followed by a discussion paper submitted

Description: This paper presents a model of the progression of the Acquired Immunodeficiency Syndrome [AIDS] epidemic in the United States. From Transactions of Society of Actuaries 1989, Vol. 41.

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

Description: This paper uses operations research to develop the answer to a question concerning the optimal size of a debit, which is a defined geographical area for an agent to sell and service business as part of a 'combination company' operation. From Transactions of Society of Actuaries 1968, Vol. 20, Pt. 1, No. 57.

Description: This is a discussion of the paper, New Possibilities in Graduation by Kingsland Camp. From Transactions of Society of Actuaries 1955, Vol. 7, No. 19.

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: 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: The objectives of this paper are: 1. To show why scientific laws of mortality are preferable to the continued use of graduation techniques on mortality tables. 2. To develop a new theory leading to a new mathematical law of mortality that reduces to Gompertz's law as a first approximation. 3. To demonstrate an understanding of select mortality and produce a simple formula that is reasonably consistent with it. 4. To develop methods to test this and other similar formulas on various bodies of data to establish their validity and usefulness. 5. To discuss the meaning of the results and provide some examples of the use of the formula for purposes other than graduation. 6. To discuss extensions of the models. From Transactions of Society of Actuaries 1980, Vol. 32.

Description: In this paper two theorems concerning the optimality of the perfect-fit and perfect-smoothness graduations are proved. Two examples are presented and some difficulties with regard to computational feasibility are reviewed. A discussion of the paper follows. From Transactions of Society of Actuaries 1978, Vol. 30.