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Gompertz Function

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Journal Article
Demography (1972) 9 (1): 35–50.
Published: 01 February 1972
...Edmund M. Murphy; Dhruva N. Nagnur Abstract In this paper an attempt is made to refine the method of fitting the Gompertz function to the cumulative fertility rates by using iterative techniques. The method is tested with the historical data series for the Canadian population. The demographic...
Journal Article
Demography (1981) 18 (3): 389–410.
Published: 01 August 1981
... a considerable degree of heterogeneity in mortality risks. 30 12 2010 © Population Association of America 1981 1981 Gompertz Model Mortality Experience Gompertz Function Standard Force Mortality Selection References Coale A. J. , & Zelnik M. ( 1963 ). New Estimates...
Journal Article
Demography (1997) 34 (1): 1–15.
Published: 01 February 1997
... Span Life Table Sexual Maturity Gompertz Equation Gompertz Function References Abernathy J.D. ( 1979 ). The Exponential Increase in Mortality Rate with Age Attributed to Wearing-Out of Biological Components . Journal of Theoretical Biology , 80 , 333 – 54 . 10.1016/0022-5193(79...
Journal Article
Demography (2001) 38 (1): 17–28.
Published: 01 February 2001
.... , & Feeney , G. ( 1998 ). On the Quantum and Tempo of Fertility . Population and Development Review , 24 , 271 – 91 . 10.2307/2807974 Booth , H. ( 1984 ). Transforming Gompertz’s Function for Fertility Analysis: The Development of a Standard for the Relational Gompertz Function...
Journal Article
Demography (1991) 28 (2): 213–227.
Published: 01 May 1991
... ). Transforming Gompertz’s Function for Fertility Analysis: The Development of a Standard for the Relational Gompertz Function . Population Studies , 38 , 495 – 506 . 10.2307/2174137 Brass , W. ( 1971 ). On the Scale of Mortality . In W. Brass (Ed.), Biological Aspects of Demography...
Journal Article
Demography (2008) 45 (1): 95–113.
Published: 01 February 2008
... (Mortality) Data: Fitting Gompertz, Weibull and Logistic Functions . Mechanisms of Ageing and Development , 74 ( 1994 ), 15 – 33 . 10.1016/0047-6374(94)90095-7 USING SUBJECTIVE EXPECTATIONS TO FORECAST LONGEVITY: DO SURVEY RESPONDENTS KNOW SOMETHING WE DON T KNOW?* MARIA PEROZEK Old-age mortality...
Journal Article
Demography (1983) 20 (4): 587–606.
Published: 01 November 1983
...) would remain unbi- ased); (b) our estimated maximum ex- pectation of life at age 60; and (c) the total number of persons reported to be age 60 and above. In conjunction with these three items of information, we pos- it a model age pattern of mortality, wide- ly known as the Gompertz function...
Journal Article
Demography (2013) 50 (5): 1563–1591.
Published: 07 June 2013
... ) (Gallant 1987 ), the model performs significantly better than the Gompertz model. In particular, the model captures both the acceleration and deceleration patterns in the mortality rise, which are often ignored when data are simply fit with the Gompertz function. We include an age span from 40 to 100...
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Journal Article
Demography (2013) 50 (3): 827–852.
Published: 04 December 2012
.... 189 – 212 ). Oxford, UK : Clarendon Press . Booth , H. ( 1984 ). Transforming Gompertz’s function for fertility analysis: The development of a standard for the relational Gompertz function . Population Studies , 38 , 495 – 506 . Brass , W. ( 1974 ). Perspectives...
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Includes: Supplementary data
Journal Article
Demography (1981) 18 (2): 231–244.
Published: 01 May 1981
... were a cubic spline, the Hadwiger and Coale-Trussell functions, the gamma and beta densities, two versions of a polynomial, and two of Brass's relational procedures, as well as the Gompertz curve. The spline function fitted all curves far better than any of the others. The Coale-Trussell procedure...
Journal Article
Demography (2004) 41 (3): 385–415.
Published: 01 August 2004
... for men that does not constrain the effects of the variable delta = (Xi 35) to be identical to , the Gompertz slope parameter performs just as well as in a model that imposes the constraint. This is prima facie evidence that the functional form imposed on the data cap- tures satisfactorily the age...
Journal Article
Demography (2017) 54 (2): 655–671.
Published: 10 February 2017
... for the study of old-age mortality in that the standard interpretation of an empirical slope estimated after fitting—for example, a Gompertz function to a cohort’s adult mortality rates—is probably always incorrect. As suggested by the expression, such estimate contains an age- and time-dependent downward bias...
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Includes: Supplementary data
Journal Article
Demography (2011) 48 (1): 267–290.
Published: 23 February 2011
... – 76 . 10.2307/2576589 Goldstein H. ( 1995 ). Multilevel statistical models . 2 London : Edward Arnold . Gompertz B. ( 1825 ). On the nature of the function expressive of the law of mortality . Philosophical Transactions , 27 , 513 – 85 . 10.1098/rstl.1825.0026...
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Journal Article
Demography (2018) 55 (6): 2025–2044.
Published: 02 November 2018
... the theory associated with each of these models. 2 These models can be described in four types. Table 1 The functional forms for the hazard of death at advanced ages considered in this analysis Name Parameters Function Sample References Gompertz α, β μ( z ) = αexp(β z ) Gompertz...
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Includes: Supplementary data
Journal Article
Demography (2013) 50 (2): 521–544.
Published: 18 November 2012
... mortality in the low-education group is four times higher than nondiabetic-specific mortality and there is no mortality difference among the high-education group. The force of mortality follows a Gompertz function with a level parameter that varies by education group. We simulate a number of scenarios...
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Journal Article
Demography (2000) 37 (3): 253–265.
Published: 01 August 2000
... to both pre- and postmultiply B, disability is assumed to have a quadratic effect on mortality. Thus Eq. (2) is a quadratic hazard function (Yashin and Manton 1997). It is also a generalized Gompertz function, where the constant is replaced by a process: that is, the multidimensional qua- dratic function...
Journal Article
Demography (2013) 50 (1): 237–260.
Published: 27 October 2012
...Mikko Myrskylä; Joshua R. Goldstein Abstract In this article, we show how stochastic diffusion models can be used to forecast demographic cohort processes using the Hernes, Gompertz, and logistic models. Such models have been used deterministically in the past, but both behavioral theory...
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Journal Article
Demography (2014) 51 (1): 51–71.
Published: 03 January 2014
... hazard function interspersed with intervals of acceleration. Gompertz-like behaviour may then be resumed at extreme old age. An intuitive explanation is that deceleration occurs when the weakest group is dying out, followed by a brief assertion of Gompertz acceleration before the next weakest group dies...
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Includes: Supplementary data
Journal Article
Demography (2018) 55 (1): 341–359.
Published: 22 January 2018
...), it is easy to see why both mortality and the loss of bodily functions (i.e., health deficit accumulation) follow the Gompertz-Makeham law. In particular, CEDA is easily rationalized with reliability theory: initially healthier individuals possess greater organ redundancy such that organ reserve declines...
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Includes: Supplementary data
Journal Article
Demography (2015) 52 (1): 39–60.
Published: 25 December 2014
... sexual maturity: Evidence from shifting ages of male young adult mortality . Plos One , 6 ( 8 ), 1 – 5 . Gompertz , B. ( 1825 ). On the nature of the function expressive of the law of human mortality . Phylosophical Transactions , 27 , 513 – 519 . Gurven , M. , & Kaplan...
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