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A Stochastic Model for Pensionable Service
Authors:G K Agrafiotis  M Tsoukalas
Institution:1. Department of Mathematics , University of Athens , Panepistemiopolis, Athens , Greece;2. Computer Science Program , The University of Texas , Dallas , USA
Abstract:Abstract

In this paper, a stochastic model is developed for the prediction of the employee's cumulative pensionable service over his working life, as a function of his unemployment periods and his completed lengths of service, under a service requirement constraint. Distributional and first passagetime problems are considered for the total pensionable service and a generalized renewal equation is formally solved. Further useful results are obtained and numerical applications are given.
Keywords:pensionable service  vested rule  generalized renewal equation  first passage-time
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