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: This section contains reviews for the following books, Introduction to the Mathematics of Demography by Robert Brown, A Tale of Two Captains by John Baynes and Hugh Maclean, Abolitionist, Actuary, Atheist: Elizur Wright and the Reform Impulse by Lawrence Goodheart, The Federal Data Base Finder by Matthew Lesko and the Guardian Life Insurance Company, 1860-1920, A History of a German-American Enterprise by Anita Rapone. From Transactions of Society of Actuaries 1991, Vol. 43.