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Estimation of parameters of the Makeham distribution using the least squares method

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  • Feng, Xinlong
  • He, Guoliang
  • Abdurishit,

Abstract

The Makeham distribution has been used to describe human mortality and establish actuarial tables. The hazard function is defined by μ(t)=A+BCt, we use the least squares type estimation to estimate the parameters of Makeham distribution in this paper. Seven cases are considered, when A, B, C are known or unknown, respectively. Also, we evaluated the mean square errors of these estimators.

Suggested Citation

  • Feng, Xinlong & He, Guoliang & Abdurishit,, 2008. "Estimation of parameters of the Makeham distribution using the least squares method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 34-44.
    • Handle: RePEc:eee:matcom:v:77:y:2008:i:1:p:34-44
    DOI: 10.1016/j.matcom.2007.01.009
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    Cited by:

    1. Han, Lili & Wu, Fangxiang & Sheng, Jie & Ding, Feng, 2012. "Two recursive least squares parameter estimation algorithms for multirate multiple-input systems by using the auxiliary model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(5), pages 777-789.
    2. Jodrá, P., 2009. "A closed-form expression for the quantile function of the Gompertz–Makeham distribution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3069-3075.
    3. María-Dolores Huete-Morales & Esteban Navarrete-Álvarez & María-Jesús Rosales-Moreno & María-José Del-Moral-Ávila & José-Manuel Quesada-Rubio, 2020. "Modelling the survival function of the Spanish population by the Wong–Tsui model with the incorporation of frailty and covariates," Letters in Spatial and Resource Sciences, Springer, vol. 13(2), pages 151-163, August.
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