EIGEN MATHEMATICS JOURNAL
Vol 7 No 1 (2024): June

Natural Cubic Spline Method as a Method in Constructing a Life Table in Gegelang Village West Lombok

Fauzi, Andri Azmul (Unknown)
Ridwan, Lalu Muhammad (Unknown)
Agustini, Dwi (Unknown)
Putri, Desi Febriani (Unknown)
Tumilaar, Rinancy (Unknown)
Asmaidi, Asmaidi (Unknown)
Raming, Indriasri (Unknown)



Article Info

Publish Date
29 Jun 2024

Abstract

This research aims to reconstruct a life table based on real data obtained in Gegelang Village, West Lombok. The data used in this research is the population in 2016, the death rate in 2014-2018 and the birth rate in 2014-2018. The first step taken was to compile a rough life table using the partial data situation and full data situation methods. Both methods are included in the maximum likelihood method. After carrying out calculations, different life expectancy figures are obtained. The respective calculation results were 62.21 years for the partial data situation method and 73.07 years for the full data situation method. Next, a graduation is carried out using the natural cubic spline method on the life table obtained from a rough life table model calculation. The graphic model produced by the rough life table is fluctuating so it is necessary to graduate using the natural cubic spline method to obtain a monotonically decreasing graph. The life table model chosen for graduation is a life table whose life expectancy is close to the life expectancy of West Lombok Regency in 2015, namely 65.1 years. After graduation, the new life expectancy was found to be 66.92 years.

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Journal Info

Abbrev

eigen

Publisher

Subject

Mathematics

Description

Eigen Mathematics Journal mempublikasikan artikel yang berkontribusi pada informasi baru atau pengetahuan baru terkait Matematika, Statistika, dan Aplikasinya. Selain itu, jurnal ini juga mempublikasikan artikel berbentuk survey dalam rangka memperkenalkan perkembangan terbaru dan memotivasi ...