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关于泰伯悖论的简短说明。

A short note on the Taeuber paradox.

作者信息

Mitra S

出版信息

Demography. 1978 Nov;15(4):621-3.

PMID:738485
Abstract

When the force of mortality is reduced by a constant fraction delta at every age, the relative increase in life expectancy e(0) can be measured by deltaH, where H is determined by the l(a) values of the life table. Although H is not easily reducible in terms of the well-known life table parameters, it has been shown that it can be approximately estimated by 2 - e(0)/a in which a is the average age of the stationary population. It has been found that, for a given value of delta, the relative gain in life expectancy is less appreciable in countries with larger values of e(0).

摘要

当每个年龄段的死亡率降低一个固定比例δ时,预期寿命e(0)的相对增加量可以用δH来衡量,其中H由生命表的l(a)值决定。尽管根据著名的生命表参数,H不容易简化,但已经表明它可以用2 - e(0)/a来近似估计,其中a是稳定人口的平均年龄。已经发现,对于给定的δ值,在预期寿命e(0)值较大的国家,预期寿命的相对增加不太明显。

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本文引用的文献

1
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Demography. 1977 Nov;14(4):411-8.
Proc Natl Acad Sci U S A. 2020 Mar 10;117(10):5250-5259. doi: 10.1073/pnas.1915884117. Epub 2020 Feb 24.
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The entropy of the life table: A reappraisal.生命表的熵:重新评估。
Theor Popul Biol. 2015 Sep;104:26-45. doi: 10.1016/j.tpb.2015.07.001. Epub 2015 Jul 15.
5
Losses of expected lifetime in the United States and other developed countries: methods and empirical analyses.美国和其他发达国家的预期寿命损失:方法和实证分析。
Demography. 2011 Feb;48(1):211-39. doi: 10.1007/s13524-011-0015-6.
6
Decomposing change in life expectancy: a bouquet of formulas in honor of Nathan Keyfitz's 90th birthday.预期寿命变化的分解:献给内森·凯菲茨90岁生日的一组公式。
Demography. 2003 May;40(2):201-16. doi: 10.1353/dem.2003.0018.
7
The shape of mortality curves: an analysis of counties in England and Wales, 1911.死亡率曲线的形态:对1911年英格兰和威尔士各郡的分析
Eur J Popul. 1993;9(1):33-54. doi: 10.1007/BF01267900.
8
A generalization of life expectancy which incorporates the age distribution of the population and its use in the measurement of the impact of mortality reduction.预期寿命的一种推广,它纳入了人口的年龄分布及其在衡量死亡率降低影响方面的应用。
Demography. 1986 May;23(2):261-74.
9
On "A new look at entropy and the life table".关于《熵与生命表的新视角》
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