Inference for confidence sets of the generalized inverted exponential distribution under k-record values
學年 109
學期 1
出版（發表）日期 2020-12-15
作品名稱 Inference for confidence sets of the generalized inverted exponential distribution under k-record values
作品名稱（其他語言）
著者 Wang, Liang; Tripathi, Yogesh Mani; Wu, Shuo-Jye; Zhang, Meng
單位
出版者
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
產學合作
通訊作者 Wang, L.
審稿制度 是
國別 USA
公開徵稿
出版型式 ,電子版,紙本
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