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A practical solution to the problem of ultimate ruin probability
Authors:Hilary L Seal
Institution:La Mottaz , 1143 , Apples , Switzerland
Abstract:Abstract

It was the Swiss actuary Chr. Moser who, in lectures at Bern University at the turn of the century, gave the name “self-renewing aggregate” to what Vajda (1947) has called the “unstationary community” of lives, namely where deaths at any epoch are immediately replaced by an equivalent number of births. It was Moser too (1926) who coined the expression “steady state” for the stationary community in which the age distribution at any time follows the life table (King, 1887). With such a distinguished actuarial history, excellently summarized by Saxer (1958, Ch. IV), it behoves every actuary to know at least the definitions and modus operandi of today's so-called renewal (point), or recurrent event, processes.
Keywords:Pearson system  Pareto  generalized gamma  transformed beta  Weibull  Delaporte  Rayleigh  compound distributions  tail probabilities  power transformation  Poisson arrival queue  hazard rate  force of mortality
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