International Scholarly Research Notices

Research Article

Some Improved Multivariate-Ratio-Type Estimators Using Geometric and Harmonic Means in Stratified Random Sampling

Table 2

Bias and MSE of different estimators.
EstimatorsAuxiliary variables usedBiasMSE
𝑦 𝑠 𝑡 none02234.649
𝑦 𝑠 𝑡 ( 𝑋 1 / 𝑥 1 𝑠 𝑡 ) 𝑋 1 0.538 216.786
𝑦 𝑠 𝑡 ( 𝑋 2 / 𝑥 2 𝑠 𝑡 ) 𝑋 2 0.642 334.443
𝑦 𝑎 𝑝 𝑋 1 and 𝑋 2 0.610170.927
𝑦 𝑔 𝑝 𝑋 1 and 𝑋 2 0.573170.927
𝑦 ℎ 𝑝 𝑋 1 and 𝑋 2 0.115170.927
𝑦 𝑠 = 𝑦 𝑠 𝑡 ( 𝑋 1 / 𝑥 1 𝑠 𝑡 ) ( 𝑋 2 / 𝑥 2 𝑠 𝑡 ) 𝑋 1 and 𝑋 2 3.8351759.889