Description: This abstract describes a paper that presents preliminary observations with respect to probabilistic fuzzy systems.

Description: The purpose of this paper is to provide a method for calculating special contingency reserves for investment losses. The method is derived by first building a stochastic investment model and then utilizing its probabilistic structure. From Transactions of Society of Actuaries 1980, Vol. 32.

Description: This paper presents a few formulaic examples displaying the advantages of geometric methods over arithmetic methods and provides some theorems proving the increased accuracy geometric methods can provide for interpolation or extrapolation

Description: Authored by a MIB Solutions team of Tom Rhodes, Stuart Klugman, Marianne Purushotham and Stacy Gill, the report summarizes the results of a study on the application and adoption of credibility theory within the life insurance and annuity industry. In addition to the report, numerical examples related to the application of credibility to company mortality and lapse data are provided in the four Excel files. This excel spreadsheet is a numerical example relating to the application of Credibility for mortality - Limited Fluctuation Method. Please see the SOA website research section for the full report on Credibity Theory Practices.

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 shows how actuarial pricing based on the mathematical concept of present value can be formulated and solved using Markov chains and an approach borrowed from engineering mathematics called ballistic control theory.

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

Description: Analysis of possible mathematical relationships between hospital quality and hospital billed or allowed charges or other measures, using quality data as defined by the U.S. Department of Health and Human Services along with the Hospital Quality Alliance for their Hospital Quality Initiative.

Description: It is well accepted that, for ages 30 and above, human mortality rates increase with age, yet no established graduation method makes direct use of this knowledge. Such a method is offered in this paper.

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.