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Table 1 Mean square errors (MSE’s) of the estimators

From: A ratio chain-type exponential estimator for finite population mean using double sampling

Estimators

Mean squared errors (MSE’s)

n′ = 60, n = 30

n′ = 65, n = 35

n′ = 70, n = 40

\( \bar{y}_{0} \)

3583.66

2852.30

2303.78

\( \bar{y}_{1} \)

1691.43

1355.15

1087.35

\( \bar{y}_{2} \)

1690.47

1354.39

1086.73

\( \bar{y}_{3} \)

1490.62

1192.96

958.26

\( \bar{y}_{4} \)

1282.01

1024.46

824.15

\( \bar{y}_{5} \)

1278.03

1021.27

821.59

\( \bar{y}_{6} \)

1275.16

1018.37

819.03

\( \bar{y}_{7} \)

1274.17

1017.59

818.40

\( \bar{y}_{8} \)

1462.31

1181.19

950.65

\( \bar{y}_{m} \)

1136.84

921.83

748.56