Table 5 Data description using Population 4.

From: Construction of improved comprehensive classes of estimators for population distribution function

Parameter

Value

Parameter

x and y (value)

\(\overline{\mathcal{X} },\overline{\mathcal{Y} }\)

\({Q}_{1}(x),{Q}_{1}(y)\)

\(\widetilde{\mathcal{X}},\widetilde{\mathcal{Y}}\)

\({Q}_{3}(x),{Q}_{3}(y)\)

\(N\)

69

\(\mathcal{F}(y)\)

0.7246

0.2464

0.5072

0.7536

\(n\)

10

\({C}_{{F}_{y}}\)

0.6209

1.7618

0.9928

0.5759

\(\lambda\)

0.08550

\(\mathcal{F}(x)\)

0.7391

0.2464

0.5072

0.7536

\(\overline{\mathcal{X} }\)

4591.72

\({C}_{{F}_{x}}\)

0.5984

1.7618

0.9928

0.5759

\({C}_{x}\)

1.37554

\({\rho }_{12}\)

0.8159

0.6878

0.7100

0.7658

\(\overline{\mathcal{Z} }\)

35.0000

\({\rho }_{13}\)

−0.7102

−0.3677

−0.5519

−0.7354

\({C}_{rx}\)

0.57321

\({\rho }_{23}\)

−0.7556

−0.3717

−0.7689

−0.7584

  

\({\rho }_{14}\)

−0.7282

−0.7424

−0.7903

−0.7008

  

\({\rho }_{24}\)

−0.7606

−0.7464

−0.8660

−0.7464

  

\({\beta }_{2}\)

1.1863

1.385

1.0000

1.3857