Efficient separate class of estimators of population mean in stratified random sampling

Some Improved Classes of Estimators in Stratified Sampling Using Bivariate Auxiliary Information

“…We remark that the minimum MSE of Abu-Dayyeh et al [25] type estimator y c a , Koyuncu and Kadilar [12] estimator y c kk , and Lone et al [18,19] estimators y c l 1 , i � 1, 2 are equal to the minimum MSE of the classical regression estimator y c l .…”

“…where L 1 h and L 2 h are duly opted scalars in the stratum h. e separate version of Lone et al [19] estimator for estimating population mean Y as…”

“…. , 5, respectively, over the combined and separate usual mean estimators, classical ratio and regression estimators, Olkin [24] type estimator, Abu-Dayyeh et al [25] type estimators, Kadilar and Cingi [7] type estimator, Singh et al [16] estimator, Koyuncu and Kadilar [12] estimator, Tailor and Chouhan [14] estimator, Lone et al [18,19] estimators and Muneer et al [21,22] estimators in terms of PRE. Also, the proposed combined and separate class of estimators y c s 1 and y s s 1 are found to be most efficient among the proposed combined and separate classes of estimators for each passably chosen values of correlation coefficients.…”

“…Following Upadhyaya et al [15]; Singh et al [16] considered a class of ratiocum-product estimators using information on two auxiliary variables in SSRS. Along the lines of Singh et al [17]; Lone et al [18] introduced a generalized ratio-cum-product type exponential estimator in SSRS, whereas Lone et al [19] suggested efficient separate class of estimators of population mean. Following Singh and Singh [20]; Muneer et al [21] suggested a class of combined estimators in SSRS.…”

“…type estimator y s a , Koyuncu and Kadilar[12] estimator y s kk and Lone et al[18,19] estimators y s l 1 & y s l 2 are equal to the minimum MSE of classical separate regression estimator y s l . e separate type of Muneer et al [21] estimator in SSRS is given by…”