Estimation of parameters of the Makeham distribution using the least squares method |
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Authors: | Xinlong Feng Guoliang He Abdurishit |
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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 |
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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. |
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Keywords: | 62N05 62J02 |
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