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政大典藏 > College of Commerce > Department of Statistics > Periodical Articles > Item 140.119/77072

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/77072

Title:	Oldest-Old Mortality Rates and the Gompertz`s Law: A Theoretical and Empirical Study Based on Four Countries
Authors:	余清祥
Contributors:	統計系
Keywords:	Gompertz’s Law;Mortality Rates of the Elderly;Mortality Projection;Bootstrap;Simulation;Maximum Likelihood;Weighted Least Square;Nonlinear Maximization;Graduation
Date:	2002
Issue Date:	2015-07-28 18:15:08 (UTC+8)
Abstract:	Testing the Gompertz law (i.e. law of geometrical progression) for elderly mortality rates has been discussed in the literature for a long time, but tests based on a set of yearly age-specific data have not been fully explored yet. In the first part of this paper, we propose a standard operating procedure for testing the Gompertz assumption using yearly age-specific mortality data. Methods used in the procedure include estimation of parameters in the Gompertz law and their standard errors via bootstrap simulation. In addition to the oldest-old (i.e. ages 80 and above) data in Japan, Sweden, France, and the U.S. (Data sources: Berkeley Mortality Database and Kannisto, 1994), a simulation study is used to demonstrate the validity of the proposed procedure. However, in practice the period of data collection is often prolonged to 5 or 10 years in order to accumulate sufficient sample sizes. However, a longer data collection period is likely to mix data with different attributes and cause problems in the parameter estimation. Thus, in the second part of this paper, we discuss the impacts of the data collection period and population sizes on the testing results.
Relation:	Journal of Population Studies (TSSCI), 24, 33-57.
Data Type:	article
Appears in Collections:	[Department of Statistics] Periodical Articles

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