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    题名: Inference for confidence sets of the generalized inverted exponential distribution under k-record values
    作者: Wang, L.;Tripathi, Y. M.;Wu, S.-J.;Zhang, M.
    关键词: Generalized inverted exponential distribution;k-records;Pivotal quantities;Optimal confidence sets;Nonlinear programming
    日期: 2020-12-15
    上传时间: 2020-06-01 12:11:54 (UTC+8)
    摘要: Based on the k-record values, confidence sets are explored for the parameters of the generalized inverted exponential distribution. Series of exact balanced confidence intervals and exact confidence regions are constructed using pivotal quantities. In order to obtain minimum-size confidence sets, constrained optimization problems are also discussed, and the associated nonlinear programming procedures are established by minimizing Lagrangian functions. Shortest-length confidence intervals and smallest-area confidence regions for the unknown parameters can be obtained by simultaneously solving nonlinear system. Finally, two real data examples and a simulation study are provided for illustrative purposes.
    關聯: Journal of Computational and Applied Mathematics 380, 112969, p. 1-14
    DOI: 10.1016/j.cam.2020.112969
    显示于类别:[統計學系暨研究所] 期刊論文

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