ANALYTICAL MODEL CONSTRUCTION OF OPTIMAL MORTALITY INTENSITIES USING POLYNOMIAL ESTIMATION

Authors

  • GM Ogungbenle DEPARTMENT OF ACTUARIAL SCIENCE, UNIVERSITY OF JOS, PLATEAU STATE, NIGERIA
  • JS Adeyele DEPARTMENT OF ACTUARIAL SCIENCE, UNIVERSITY OF JOS, PLATEAU STATE, NIGERIA

Keywords:

polynomials, contingency, analyticity, basis, differential, mortality, modeling AMS Subject Classification: 35A20; 34K28

Abstract

The aim of this paper is to describe a non-parametric technique as a means of estimating the instantaneous force of mortality which serves as the underlying concept in modeling the future lifetime. It relies heavily on the analytic properties of life table survival functions . The specific objective of the study is to estimate the force of mortality using the Taylor series expansion to a desired degree of accuracy. The estimation of the continuous death probabilities has aroused keen research interest in mortality literature on life assurance practice. However, the estimation of  involves a model dependent on deep knowledge of differencing and differential equation of first order. The suggested method of approximation with limiting optimal properties is the Newton’s forward difference model. Initiating Newton’s process is an important level in terms of theoretical work which produces parallel results of great impact in the study of mortality functions. The paper starts from an assumption that  function follows a polynomial of least degree and hence gives an answer to a simple model which overcomes points of singularity.

http://dx.doi.org/10.4314/njt.v39i1.3

Author Biography

  • GM Ogungbenle, DEPARTMENT OF ACTUARIAL SCIENCE, UNIVERSITY OF JOS, PLATEAU STATE, NIGERIA

    The aim of this paper is to describe a non-parametric technique as a means of estimating the instantaneous force of mortality which serves as the underlying concept in modeling the future lifetime. It relies heavily on the analytic properties of life table survival functions . The specific objective of the study is to estimate the force of mortality using the Taylor series expansion to a desired degree of accuracy. The estimation of the continuous death probabilities has aroused keen research interest in mortality literature on life assurance practice. However, the estimation of  involves a model dependent on deep knowledge of differencing and differential equation of first order. The suggested method of approximation with limiting optimal properties is the Newton’s forward difference model. Initiating Newton’s process is an important level in terms of theoretical work which produces parallel results of great impact in the study of mortality functions. The paper starts from an assumption that  function follows a polynomial of least degree and hence gives an answer to a simple model which overcomes points of singularity.

     

    http://dx.doi.org/10.4314/njt.v39i1.3

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Published

2020-01-03

Issue

Vol. 39 No. 1 (2020): NIGERIAN JOURNAL OF TECHNOLOGY, VOL. 39, NO. 1, JANUARY 2020

Section

Preliminary Pages & General Engineering

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How to Cite

ANALYTICAL MODEL CONSTRUCTION OF OPTIMAL MORTALITY INTENSITIES USING POLYNOMIAL ESTIMATION. (2020). Nigerian Journal of Technology, 39(1), 25-35. https://nijotech.com/index.php/nijotech/article/view/2212