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    請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/113686

    題名: Inference of δ = P(X < Y) for Burr XII distributions with record samples
    作者: Jyun-You Chiang;Nan Jiang;Tzong-Ru Tsai;Y. L. Lio
    關鍵詞: Bootstrap-t method;Fisher information;Log-logistic distribution;Maximum likelihood estimation;Percentile bootstrap method
    日期: 2017-06-14
    上傳時間: 2018-06-14 12:10:29 (UTC+8)
    摘要: Let X and Y follow independent Burr type XII distributions, which share a common inner shape parameter. The maximum likelihood estimator of the parameter δ = P(X < Y) is studied based on record samples. The existence and uniqueness of the maximum likelihood estimator of δ based on record samples are established. When the inner shape parameter is known, an exact confidence interval of δ is derived; otherwise, the Fisher information matrix and two bootstrap methods are used to obtain three approximate confidence intervals of δ. The performances of the proposed methods are evaluated via Monte Carlo simulation. Two examples are provided for illustration.
    關聯: Communications in Statistics - Simulation and Computation 47(3), p.822-838
    DOI: 10.1080/03610918.2017.1295150
    顯示於類別:[統計學系暨研究所] 期刊論文


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