Description: This paper uses a Bayesian approach to persistency to explore retirement cost projection variability. The analysis is divided into two parts. In the first part a subjective population projection model is developed, based on a beta-binomial distribution for the number of participants persisting through a given age. Probability statements regarding such items as the number of participants at a given age and the distribution of retirees are developed. The second part shows how the model might be used to generate confidence intervals for retirement cost projections. Both the single-entry-age case and the multiple-entry-age case are considered. From Transactions of Society of Actuaries 1979, Vol. 31.

Description: Abstracts of various papers published in ARCH 1983 Vol. 1

Description: This paper addresses the fuzziness in regression models. The goal is to present a test procedure to explicitly examine whether an independent variable has a clear functional relationship with the dependent variable in a specific regression model, or whether their relationship is fuzzy. To this end, the authors interpret the spread of the regression coefficients as a statistic measuring the fuzziness of the relationship between the corresponding independent variable and the dependent variable. They then derive test distributions based on the null hypothesis that such spreads could have been obtained with data generated by a classical regression model with random errors. The analysis is presented in conceptual rather than technical terms.

Description: The authors have been involved with the development of an economically unbiased model for the distribution of pension benefits in divorce. While the research is not completed, it was felt that some of their findings and insights might be of interest to the actuarial community. In view of this, the purpose of this article is to: 1. Present the findings of the authors with respect to their review of major court cases, and 2. Identify major actuarial issues which are as yet unresolved. From Actuarial Research Clearing House 1990, Vol. 1.

Description: The purpose of this paper is to discuss modified cost methods that have been proposed for small-plan valuations, The first portion of the paper deals with criteria for choosing a cost method. The next portions deal with small-plan characteristics and the potential shortcomings of conventional cost methods when applied to these plans. The final portion discusses two classes of modified cost methods that have been proposed for circumventing these shortcomings. From Transactions of Society of Actuaries 1983, Vol. 35.

Description: This introduction is followed by an overview of RA, which includes such things as the role of RA in ERM, the conceptualization of RA, and the role of FL as it relates to RA. We turn then to an overview of the FL methodology used in this study. The next three chapters are devoted to FL methodology as it relates to RA issues, and includes a discussion of FL modification of the risk matrix, FL modification of the Analytic Hierarchy Process, and the role of fuzzy optimization as it relates to RA. We turn then to examples of RAA-FL in the areas of operational risk, hazard risk, financial risk and strategic risk. This is followed by closing comments and observations. The study concludes with an annotated bibliography.

Description: The purpose of this article is to provide an overview of soft computing applications in actuarial science. Soft computing refers to modes of computing in which precision is traded for tractability, robustness and ease of implementation.

Description: This article focuses on conceptualizing machine learning concepts.

Description: A key concept in post-retirement planning is the random variable future lifetime of a life aged x. While age is an important factor in the determination of this variable, there are other relevant factors, like the state of health and the character of a life aged x. The purpose of this article is to presents some preliminary observations regarding the conceptualization of future lifetime as a fuzzy random variable.

Description: These are thte editor's comments in the 2011 edition of ARCH.