Estimators

Mean squared errors, MSE for varying sample sizes, n

N

n = 30

n = 60

n = 90

$\mathrm{var}\left(\overline{y}\right)$

3.94

1.78

1.11

Product estimator, ${\overline{y}}_P$

3.17

1.67

0.72

Ratio estimator, ${\overline{y}}_R$

2.06

0.92

0.59

Regression estimator, ${\overline{y}}_{RE}$

1.52

0.67

0.39

Exponential product estimator, ${\overline{y}}_{EP}$

1.59

0.78

0.58

Exponential ratio estimator, ${\overline{y}}_{ER}$

1.35

0.66

0.45

Exponential ratio-product estimator, ${\overline{y}}_{ERP}$

1.63

0.82

0.59

Exponential ratio-product estimator ${\overline{y}}_{ERP}$

1.25

0.62

0.42

Modified regression estimator (Proposed) ${\overline{y}}_{\text{MRE}\left(\text{proposed}\right)}$

1.05

0.44

0.29

Modified regression estimator (Proposed) ${\overline{y}}_{\text{MRE}\left(\text{proposed}\right)}$

0.92

0.41

0.25