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Gompertz–Makeham law of mortality

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The Gompertz–Makeham law of mortality is a mathematical model for the age pattern of death rates. It expresses the force of mortality (instantaneous hazard of death) as the sum of two components: an age-dependent term, the Gompertz function, that increases approximately exponentially with age, and an approximately age-independent background term known as the Makeham term. In populations where deaths from external causes are rare, the background component is often small and mortality can be well described by the simpler Gompertz law of mortality.

Gompertz–Makeham law of mortality - Wikipedia Jump to content From Wikipedia, the free encyclopedia Mathematical equation related to human death rate \\alpha \\in \\mathbb{R}^+</math><br /><math>\\beta \\in \\mathbb{R}^+</math><br /> <math>\\lambda \\in \\mathbb{R}^+</math>"},"support":{"wt":"<math>x \\in \\mathbb{R}^+</math>"},"pdf":{"wt":"<math>\\left( \\alpha e^{\\beta x} + \\lambda \\right) \\cdot \\exp \\left[ -\\lambda x-\\frac{\\alpha}{\\beta} \\left( e^{\\beta x} -1\\right) \\right]</math>"},"cdf":{"wt":"<math>1-\\exp \\left[-\\lambda x-\\frac{\\alpha}{\\beta} \\left( e^{\\beta x}-1\\r

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