Estimation of age dependent expected accomplishment probabilities in a population

Abstract

This paper proposes and present expected accomplishment probability model during each of the three age epochs in a population. Methods for the estimation of these probabilities are also proposed and presented. Test statistic are proposed and presented for use in testing desired hypotheses about expected accomplishment probabilities. The proposed methods are illustrated with some sample data on retirees from a certain population in which human life or age span is partitioned into three, namely, less than 25 years, 25 to 50 years, and over 50 years. The results obtained using these sample data showed that less than one-fourth of retirees from the sampled population are able to accomplish all that is normally expected of subjects from the population after retirement from relatively active work. However, only about one-fifth of retirees seem unable to accomplish all that is normally expected following retirement.