淡江大學機構典藏:Item 987654321/20684
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    题名: Estimation of parameters of the Gompertz distribution using the least squares method
    作者: 吳忠武;Wu, Jong-wuu;Hung, W. L.;Tsai, C. H.
    贡献者: 淡江大學統計學系
    关键词: Gompertz distribution;Least squares estimate;Maximum likelihood estimate;First failure-censored;Series system
    日期: 2004-10-25
    上传时间: 2009-11-30 12:56:28 (UTC+8)
    出版者: Elsevier
    摘要: The Gompertz distribution has been used to describe human mortality and establish actuarial tables. Recently, this distribution has been again studied by some authors. The maximum likelihood estimates for the parameters of the Gompertz distribution has been discussed by Garg et al. [J. R. Statist. Soc. C 19 (1970) 152]. The purpose of this paper is to propose unweighted and weighted least squares estimates for parameters of the Gompertz distribution under the complete data and the first failure-censored data (series systems; see [J. Statist. Comput. Simulat. 52 (1995) 337]). A simulation study is carried out to compare the proposed estimators and the maximum likelihood estimators. Results of the simulation studies show that the performance of the weighted least squares estimators is acceptable.
    關聯: Applied Mathematics and Computation 158(1), pp.133-147
    DOI: 10.1016/j.amc.2003.08.086
    显示于类别:[統計學系暨研究所] 期刊論文

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