Description: Actuarial literature in the twenty-five years includes discussions of a well known inequality. Among the recent papers on various aspects of this classic result are those by Berin 1970, Olson 1975 and Sarason 1960. A standard method for achieving this inequality uses Jensen's inequality. This is the method used by Bowers, et al 1983. We will also employ this method in an attempt to learn about it.

Description: In this paper we shall present our results in terms of the estimation of human mortality rates, but the results carry over to other applications. We shall discuss a Bayesian model that encompasses both graduation [smoothing] and prediction.

Description: The basic thesis posed by this overview is that a mixed strategy, involving both savings and labor force components for the challenge of the graying of the developed world is a good public, corporate, and individual strategy. From The Old-Age Crisis - Actuarial Opportunities -The 1996 Bowles Symposium, M-RS99-1.

Description: This paper is the introduction to the Society of Actuaries 50th Anniversary Monograph, which contains significant papers published by SOA-sponsored research publications during the past fifty years. This introduction describes the selection process and provides a brief summary of each of the seven papers making up the monograph.