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Estimation of parameters of the Makeham distribution using the least squares method
Authors:Xinlong Feng  Guoliang He  Abdurishit
Affiliation:1. College of Mathematics and System Science, Xinjiang University, Urmuqi 830046, PR China;2. Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, PR China
Abstract:The Makeham distribution has been used to describe human mortality and establish actuarial tables. The hazard function is defined by μ(t)=A+BCtμ(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.
Keywords:62N05   62J02
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