Research Article

Efficient Estimators Using Auxiliary Variable under Second Order Approximation in Simple Random Sampling and Two-Phase Sampling

Table 1

Bias and MSE of estimators.

EstimatorsBiasMSE
First orderSecond orderFirst orderSecond order

0.0629810.06254639.23107139.348971
0.0536230.05248372.25669373.329202
0.0570630.05667839.21806339.131656
0.0625130.06204339.21807339.334929