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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
... 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 (pp. 69...
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
... 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 years to show the continuation of the patterns throughout life. In the framework of the two-mortality model, middle- and old-age...
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Journal Article
Demography (2013) 50 (3): 827–852.
Published: 04 December 2012
... . 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 in population prediction: Illustrated by the statistics...
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Includes: Supplementary data
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 (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 (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
.... This can confound estimates of the parameters of the Gompertz function. For the most part, findings are similar for female mortality rates as for male rates. Any differences are noted below. 5 Formulas for the calculation of these parameters are given in Strehler and Mildvan ( 1960...
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Journal Article
Demography (2018) 55 (6): 2025–2044.
Published: 02 November 2018
... , A. , Maier , H. , & Brockmann , H. ( 2000 ). Old-age mortality in Germany prior to and after reunification . Demographic Research , 3 ( article 1 ). https://doi.org/10.4054/DemRes.2000.3.1 Gompertz , B. ( 1825 ). On the nature of the function expressive of the law of human...
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Includes: Supplementary data
Journal Article
Demography (2013) 50 (2): 521–544.
Published: 18 November 2012
... 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 to investigate different magnitudes of the mortality differentials between diabetics...
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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
... such that, depending on the extent of heterogeneity, there may be none, one or several age intervals of deceleration of the population 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...
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Includes: Supplementary data
Journal Article
Demography (2018) 55 (1): 341–359.
Published: 22 January 2018
... ; Novoseltsev 2006 ). Because reliability theory holds also at the subsystem level (of, e.g., organs), 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...
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Includes: Supplementary data
Journal Article
Demography (2015) 52 (1): 39–60.
Published: 25 December 2014
... 0.025  United States 1,125,968 0.886 0.054 0.030 Note : σ ′ and σ ′ ′ are defined in Eq. ( 9 ). a Unusually high level of variability. b Unusually low level of variability. More can be learned by modeling the σ A , w ′ as a power law function of the typical number of deaths...
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