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Further to the proposal and application of a stochastic methodology and theresulting first exit time distribution function to life table data we introducea theoretical framework for the estimation of the maximum deterioration age andto explore on how "vitality," according to Halley and Strehler and Mildvan,changes during the human lifetime. The mortality deceleration or mortalityleveling-off is also explored. The effect of the deterioration over time isestimated as the expectation that an individual will survive from thedeterioration caused in his organism by the deterioration mechanism. A methodis proposed and the appropriate software was developed for the estimation oflife expectancy. Several applications follow. The method was applied to theHalley life table data of Breslau. Extrapolations are done showing a gradualimprovement of vitality mechanisms during last centuries.

A Life Expectancy Study based on the Deterioration Function and an Application to Halley's Breslau Data