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| Gompertz-Makeham Law of Mortality× | 生命表解析× | |
|---|---|---|
| 分野 | 人口学 | 人口学 |
| 系統≠ | Regression model | Survival analysis |
| 提唱年≠ | 1860 | 1984 |
| 提唱者≠ | Benjamin Gompertz & William Makeham | Demographic/actuarial tradition; Chiang |
| 種類≠ | Parametric mortality (hazard) law for adult ages | Age-structured mortality estimator |
| 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. DOI ↗ | Chiang, C. L. (1984). The Life Table and Its Applications. Robert E. Krieger Publishing. ISBN: 978-0-89874-565-2 |
| 別名 | Gompertz-Makeham Model, Makeham's Law, Gompertz Law of Mortality, Gompertz-Makeham Ölümlülük Yasası | Mortality Table, Actuarial Table, Survival Table, Yaşam Tablosu |
| 関連≠ | 4 | 3 |
| 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. | A life table is a systematic, age-structured summary of the mortality experience of a population. It traces a hypothetical cohort of births — conventionally 100,000 — through successive age intervals, recording how many survive, how many die, and how many person-years are lived at each interval. The method was formalized in its modern probabilistic form by Chiang (1984), synthesizing centuries of actuarial and demographic practice into a rigorous statistical framework applicable to human and biological populations alike. |
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