手法を比較

	Gompertz-Makeham Law of Mortality	Heligman-Pollard Model
分野	人口学	人口学
系統	Regression model	Regression model
提唱年	1860	1980
提唱者	Benjamin Gompertz & William Makeham	Larry Heligman & John H. Pollard
種類	Parametric mortality (hazard) law for adult ages	Parametric whole-lifespan mortality law
原典	Gompertz, B. (1825). On the nature of the function expressive of the law of human mortality. Philosophical Transactions of the Royal Society of London, 115, 513–583.	Heligman, L., & Pollard, J. H. (1980). The age pattern of mortality. Journal of the Institute of Actuaries, 107(1), 49–80.
別名	Gompertz-Makeham Model, Makeham's Law, Gompertz Law of Mortality, Gompertz-Makeham Ölümlülük Yasası	Heligman-Pollard Mortality Law, Eight-Parameter Mortality Model, HP Mortality Model, Heligman-Pollard Ölümlülük Modeli
関連	4	4
概要	The Gompertz-Makeham law is the foundational parametric model of adult human mortality. Benjamin Gompertz showed in 1825 that the force of mortality rises exponentially with age, and William Makeham added an age-independent background term in 1860 to account for deaths from causes unrelated to ageing. The combined law expresses the hazard of death as a constant plus an exponentially increasing component, capturing the dominant shape of adult mortality with just three parameters.	The Heligman-Pollard model is an eight-parameter parametric law that describes the age pattern of mortality across the entire human lifespan in a single equation. Introduced by Larry Heligman and John Pollard in 1980, it represents the odds of dying at each age as the sum of three additive components — a rapidly declining childhood term, a young-adult accident hump, and an exponentially rising senescent term — capturing the full characteristic shape of the mortality curve from birth to old age.