Improved Estimation of Population Mean Through Known Conventional and Non-Conventional Measures of Auxiliary Variable

On Using the Conventional and Nonconventional Measures of the Auxiliary Variable for Mean Estimation

“…e PRE of Irfan et al's estimator [11] was undefined in Table 15 under Population 6. We conclude that use of conventional and nonconventional measures does not play a very major role in increasing the efficiency of existing mean estimators except in some cases.…”

“…From Table 4, we observed that as we increase the sample size, the MSE values decrease in both populations which are on expected lines. Irfan et al's estimator [11] becomes Shabbir et al's estimator [7] when u � 1, v � 0, so MSE values are the same. e proposed estimator Y…”

“…Irfan et al [10] suggested a generalized ratio-exponential-type estimator using the conventional measures. Also, Irfan et al [11] used both conventional and nonconventional measures in their proposed estimator. Ali et al [12] used the robust-regression-type estimators for mean estimation of sensitive variables, and Shahzad et al [13] suggested the L-moments based on calibration variance estimators in their recent work.…”

“…x − C yx ), and E s � c(φ i C 2 x − C yx ). (xii) On the lines of Shabbir et al [7], Irfan et al [11] suggested an estimator, which is given by…”

Difference-Type-Exponential Estimators Based on Dual Auxiliary Information Under Simple Random Sampling

“…Several authors have used ratio, product and regression-type estimators to estimate population mean when both study and auxiliary variables are directly observable. For detail, see the following references: Kadilar and Cingi [2][3], Gupta and Shabbir [4], Grover and Kaur [5][6], Singh and Solanki [7], Haq and Shabbir [8], Shabbir et al [9], Ekpenyong and Enang [10], Khan et al [11], Solanki and Singh [12], Srisodaphol et al [13], Singh and Pal [14], Singh et al [15], Irfan et al [16][17], Javed et al [18] etc. This section gives a brief introduction of traditional estimators i.e.…”