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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/20684

    Title: Estimation of parameters of the Gompertz distribution using the least squares method
    Authors: 吳忠武;Wu, Jong-wuu;Hung, W. L.;Tsai, C. H.
    Contributors: 淡江大學統計學系
    Keywords: Gompertz distribution;Least squares estimate;Maximum likelihood estimate;First failure-censored;Series system
    Date: 2004-10-25
    Issue Date: 2009-11-30 12:56:28 (UTC+8)
    Publisher: Elsevier
    Abstract: 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.
    Relation: Applied Mathematics and Computation 158(1), pp.133-147
    DOI: 10.1016/j.amc.2003.08.086
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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