On Estimate of Malaysian Mortality Rates Using Interpolation Methods

Authors

  • Nur Idayu Ah Khaliludin Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Malaysia
  • Zarina Mohd Khalid Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Malaysia
  • Haliza Abd. Rahman Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Malaysia

DOI:

https://doi.org/10.11113/matematika.v35.n2.1169

Abstract

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.

Author Biography

Nur Idayu Ah Khaliludin, Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Malaysia

PhD Candidate (Mathematics),

(Matric No: PSC 163039),
Department of Mathematical Sciences,
Universiti Teknologi Malaysia,
81310 Skudai,
Johor.

Tel :+601-87733103
email: ayu.khalil@gmail.com 

Supervisors : Dr. Zarina Binti Mohd Khalid & Dr. Haliza Binti Abd Rahman
RG : Statistical Modelling Research Group

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Published

2019-07-31

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Section

Articles