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Presentation and Derivation of a Five-Parameter Survival Function Intended to Model Mortality in Modern Female Populations
Authors:Harald Hannerz
Abstract:

A single analytical expression for the probability of survival from birth to age x that would hold good for all ages in the entire human life span has been sought for centuries. With an eight-parameter function, Heligman and Pollard achieved this goal, for integer values of x , in 1980. The present paper introduces a five-parameter survival function intended to model human mortality in modern female populations. The introduced function is not only defined for integers. It is defined for all ages.
Keywords:Applied Mathematics  Statistical Methodology  Mortality Law  Hazard Rate  Cumulative Distribution Function
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