Table 1 MSE result of all estimators considered in this article using real data sets.

From: Improved modified estimator for estimation of median using auxiliary information under simple random sampling

Estimators

Population 1

Population 2

Population 3

\(\hat{M}_{y}\)

403,887.0

3.3633680

17.08538

\(\hat{M}_{Rat}\)

109,313.0

0.3467658

0.1606138

\(\hat{M}_{\exp }\)

199,668.0

1.4564990

4.3510590

\(\hat{M}_{SS1}\)

102,203.3

3.3165700

16.606740

\(\hat{M}_{SS2}\)

101,810.2

0.02953121

0.1602143

\(\hat{M}_{D}\)

104,407.5

0.02953252

0.1602252

\(\hat{M}_{D1}\)

103,797.0

0.02675913

0.1601913

\(\hat{M}_{D2}\)

103,116.3

0.02883137

0.1602002

\(\hat{M}_{SS3}\)

100,200.8

0.02945387

0.1579884

\(\hat{M}_{Siraj(alpha = 0)}\)

100,940.4

0.01838123

0.1139751

\(\hat{M}_{Siraj(alpha = 1)}\)

99,054.20

0.02929051

0.1415721

\(\hat{M}_{proposed}\)

90,648.43

0.02795507

0.1107349