Research Article

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

Table 2

Bias and MSE of estimators under two phase sampling.

EstimatorsBiasMSE
First orderSecond orderFirst orderSecond order

0.0754489190.0753124158.5067369158.90969
0.0497516320.0474159221.9313664222.50215
0.0619310.0620135158.320158.3868
0.074130.0739541158.320158.99492