出版日期：2020-12-15 00:00:00

著者：Wang, Liang; Tripathi, Yogesh Mani; Wu, Shuo-Jye; Zhang, Meng

著錄名稱、卷期、頁數：Journal of Computational and Applied Mathematics 380, 112969

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.

關鍵字：Generalized inverted exponential distribution;k-records;Pivotal quantities;Optimal confidence sets;Nonlinear programming

語言：en_US

ISSN：1879-1778

期刊性質：國外

收錄於：SCI

通訊作者：Wang, L.

審稿制度：是

國別：USA

出版型式：電子版,紙本