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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/20711

    Title: Approximate MLE of the scale parameter of the truncated Rayleigh distribution under the first failurecensored data
    Authors: 吳忠武;Wu, Jong-wuu;Hung, Wen-liang;Chen, Ching-yi
    Contributors: 淡江大學統計學系
    Keywords: Approximate maximum likelihood estimator;truncated distribution;scale parameter;failure-censored;Monte Carlo method
    Date: 2004-05-01
    Issue Date: 2009-11-30 12:57:23 (UTC+8)
    Publisher: Analytic Publishing Co
    Abstract: This paper deals with the estimation of the scale parameter σ of doubly truncated and singly truncated Rayleigh distribution under the first failure-censored data (Balasooriya (1995)). It is known that the maximum likelihood method does not provide an explicit estimator for σ of the truncated Rayleigh distribution based on the first failure-censored data. Hence, we propose the approximate maximum likelihood method to derive explicit estimator of σ. A simulation study is carried out to compare this estimator and maximum likelihood estimator (MLE) in terms of the sample mean squared error.
    Relation: Journal of information & optimization sciences 25(2), pp.221-235
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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