淡江大學機構典藏:Item 987654321/113686
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    Title: Inference of δ = P(X < Y) for Burr XII distributions with record samples
    Authors: Jyun-You Chiang;Nan Jiang;Tzong-Ru Tsai;Y. L. Lio
    Keywords: Bootstrap-t method;Fisher information;Log-logistic distribution;Maximum likelihood estimation;Percentile bootstrap method
    Date: 2017-06-14
    Issue Date: 2018-06-14 12:10:29 (UTC+8)
    Abstract: 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.
    Relation: Communications in Statistics - Simulation and Computation 47(3), p.822-838
    DOI: 10.1080/03610918.2017.1295150
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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