New Improved Ranked Set Sampling Designs with an Application to Real Data

作     者：Amer Ibrahim Al-Omari Ibrahim M.Almanjahie 

作者机构：Department of MathematicsFaculty of ScienceAl al-Bayt UniversityMafraqJordan Department of MathematicsCollege of ScienceKing Khalid UniversityAbha62529Saudi Arabia Statistical Research and Studies Support UnitKing Khalid UniversityAbha62529Saudi Arabia 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2021年第67卷第5期

页      面：1503-1522页

核心收录：

学科分类：0831[工学-生物医学工程（可授工学、理学、医学学位）] 0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0801[工学-力学（可授工学、理学学位）] 

基　　金：The authors extend their appreciation to Deanship of Scientic Research at King Khalid University for funding this work through Research Groups Program under Grant No.R.G.P.2/68/41.I.M.A.and A.I.A.received the grant. 

主　　题：Ranked set sampling unbiased estimator simple random sampling mean squared error efciency imperfect ranking 

摘      要：This article proposes two new Ranked Set Sampling(RSS)designs for estimating the population parameters:Simple Z Ranked Set Sampling(SZRSS)and Generalized Z Ranked Set Sampling(GZRSS).These designs provide unbiased estimators for the mean of symmetric distributions.It is shown that for non-uniform symmetric distributions,the estimators of the mean under the suggested designs are more efcient than those obtained by RSS,Simple Random Sampling(SRS),extreme RSS and truncation based RSS designs.Also,the proposed RSS schemes outperform other RSS schemes and provide more efcient estimates than their competitors under imperfect rankings.The suggested mean estimators under perfect and imperfect rankings are more efcient than the linear regression estimator under SRS.Our proposed RSS designs are also extended to cover the estimation of the population median.Real data is used to examine wthe usefulness and efciency of our estimators.