Fisher information for generalized Rayleigh distribution in ranked set sampling design with application to parameter estimation  

作　　者：SHEN Bing-liang CHEN Wang-xue WANG Shuo CHEN Meng 

机构地区：[1]Department of Mathematics and Statistics,Jishou University,Jishou 416000,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2022年第4期615-630,共16页高校应用数学学报（英文版）（B辑）

基　　金：Supported by National Science Foundation of China(11901236,12261036),Scientific Research Fund of Hunan Provincial Education Department(21A0328);Provincial Natural Science Foundation of Hunan(2022JJ30469);Young Core Teacher Foundation of Hunan Province([2020]43);Jishou University Laboratory Program(JDDL2017001,JDLF2021024).

摘　　要：In the current paper,we considered the Fisher information matrix from the generalized Rayleigh distribution(GR)distribution in ranked set sampling(RSS).The numerical results show that the ranked set sample carries more information about λ and α than a simple random sample of equivalent size.In order to give more insight into the performance of RSS with respect to(w.r.t.)simple random sampling(SRS),a modified unbiased estimator and a modified best linear unbiased estimator(BLUE)of scale and shape λ and α from GR distribution in SRS and RSS are studied.The numerical results show that the modified unbiased estimator and the modified BLUE of λ and α in RSS are significantly more efficient than the ones in SRS.

关 键 词：ranked set sample Fisher information number best linear unbiased estimator 

分 类 号：O223[理学—运筹学与控制论]