用插值法估计马来西亚的死亡率

IF 0.3 Q4 MATHEMATICS Matematika Pub Date : 2019-07-31 DOI:10.11113/MATEMATIKA.V35.N2.1169
Nur Irsalina Ah Khaliludin, Z. M. Khalid, H. A. Rahman
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引用次数: 0

摘要

生命表是一个国家的死亡经历表。但是,在马来西亚,本表中的资料是按5岁年龄组(节略)提供的,而不是按1岁年龄组提供的。因此,本研究的目的是利用几种插值方法从缩短的死亡率中估计一岁年龄死亡率。采用Kostaki方法和Akima样条方法对2012 - 2016年5组马来西亚群体死亡率进行了分析。然后将结果与一年的死亡率进行比较。我们发现,Akima方法是马来西亚死亡率经验的最佳方法,因为它给出了最小的最小平方和误差。该方法不仅提供了良好的拟合,而且显示出平滑的死亡率曲线。
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On Estimate of Malaysian Mortality Rates Using Interpolation Methods
Life table is a table that shows mortality experience of a nation. However, in Malaysia, the information in this table is provided in the five-year age groups (abridged) instead of every one-year age. Hence, this study aims to estimate the one-year age mortality rates from the abridged mortality rates using several interpolation methods. We applied Kostaki method and the Akima spline method to five sets of Malaysian group mortality rates ranging from period of 2012 to 2016. The results were then compared with the one-year mortality rates. We found that the method by Akima is the best method for the Malaysian mortality experience as it gives the least minimum of sum of square errors. The method does not only provide a good fit but also, shows a smooth mortality curve.
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来源期刊
Matematika
Matematika MATHEMATICS-
自引率
25.00%
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0
审稿时长
24 weeks
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