淡江大學機構典藏:Item 987654321/122348
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/122348


    Title: Further Properties and Estimations of Exponentiated Generalized Linear Exponential Distribution
    Authors: Lin, Chien-Tai;Liu, Yu;Li, Yun-Wei;Chen, Zhi-Wei;Okasha, Hassan M.
    Keywords: corrected maximum likelihood estimation;least squares estimation;maximum likelihood estimation;maximum product of spacing estimation;Monte Carlo simulation
    Date: 2021-12-20
    Issue Date: 2022-03-04 12:11:29 (UTC+8)
    Abstract: The recent exponentiated generalized linear exponential distribution is a generalization of the generalized linear exponential distribution and the exponentiated generalized linear exponential distribution. In this paper, we study some statistical properties of this distribution such as negative moments, moments of order statistics, mean residual lifetime, and their asymptotic distributions for sample extreme order statistics. Different estimation procedures include the maximum likelihood estimation, the corrected maximum likelihood estimation, the modified maximum likelihood estimation, the maximum product of spacing estimation, and the least squares estimation are compared via a Monte Carlo simulation study in terms of their biases, mean squared errors, and their rates of obtaining reliable estimates. Recommendations are made from the simulation results and a numerical example is presented to illustrate its use for modeling a rainfall data from Orlando, Florida.
    Relation: mathematics 9(24), 3328
    DOI: 10.3390/math9243328
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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