Table 7 Data description using Population 6.
From: Construction of improved comprehensive classes of estimators for population distribution function
Parameter | Value | Parameter | x and y (value) | |||
|---|---|---|---|---|---|---|
\(\overline{\mathcal{X} },\overline{\mathcal{Y} }\) | \({Q}_{1}(x),{Q}_{1}(y)\) | \(\widetilde{\mathcal{X}},\widetilde{\mathcal{Y}}\) | \({Q}_{3}(x),{Q}_{3}(y)\) | |||
\(N\) | 854 | \(\mathcal{F}(y)\) | 0.8934 | 0.2494 | 0.5012 | 0.7506 |
\(n\) | 140 | \({C}_{{F}_{y}}\) | 0.3456 | 1.7358 | 0.9982 | 0.5768 |
\(\lambda\) | 0.18000 | \(\mathcal{F}(x)\) | 0.8279 | 0.2494 | 0.5012 | 0.7506 |
\(\overline{\mathcal{X} }\) | 37,600.1 | \({C}_{{F}_{x}}\) | 0.4563 | 1.7358 | 0.9982 | 0.5768 |
\({C}_{x}\) | 3.85089 | \({\rho }_{12}\) | 0.6870 | 0.7623 | 0.7658 | 0.7498 |
\(\overline{\mathcal{Z} }\) | 427.500 | \({\rho }_{13}\) | −0.4550 | −0.1413 | −0.2260 | −0.3351 |
\({C}_{rx}\) | 0.57700 | \({\rho }_{23}\) | −0.4118 | −0.1448 | −0.2345 | −0.3522 |
|  |  | \({\rho }_{14}\) | −0.5137 | −0.6914 | −0.7834 | −0.7003 |
|  |  | \({\rho }_{24}\) | −0.6538 | −0.7494 | −0.8660 | −0.7490 |
| Â | Â | \({\beta }_{2}\) | 1.1050 | 1.1975 | 1.0000 | 1.4824 |
