Table 3 Data description using Population 2.
From: Construction of improved comprehensive classes of estimators for population distribution function
Parameter | Value | Parameter | x and y (value) | |||
|---|---|---|---|---|---|---|
\(\overline{\mathcal{X} },\overline{\mathcal{Y} }\) | \({Q}_{1}(x),{Q}_{1}(y)\) | \(\widetilde{\mathcal{X}},\widetilde{\mathcal{Y}}\) | \({Q}_{3}(x),{Q}_{3}(y)\) | |||
\(N\) | 923 | \(\mathcal{F}(y)\) | 0.7703 | 0.2556 | 0.5016 | 0.7497 |
\(n\) | 180 | \({C}_{{F}_{y}}\) | 0.5463 | 1.7070 | 0.9973 | 0.5780 |
\(\lambda\) | 0.00447 | \(\mathcal{F}(x)\) | 0.7291 | 0.2524 | 0.5016 | 0.7508 |
\(\overline{\mathcal{X} }\) | 333.165 | \({C}_{{F}_{x}}\) | 0.6098 | 1.7218 | 0.9973 | 0.5764 |
\({C}_{x}\) | 1.32809 | \({\rho }_{12}\) | 0.8727 | 0.1910 | 0.8917 | 0.9162 |
\(\overline{\mathcal{Z} }\) | 461.000 | \({\rho }_{13}\) | −0.7385 | −0.3656 | −0.5366 | −0.7221 |
\({C}_{rx}\) | 0.57703 | \({\rho }_{23}\) | −0.7120 | −0.1046 | −0.5419 | −0.7298 |
|  |  | \({\rho }_{14}\) | −0.7223 | −0.7424 | −0.8486 | −0.7430 |
|  |  | \({\rho }_{24}\) | −0.7697 | −0.7503 | −0.8660 | −0.7491 |
| Â | Â | \({\beta }_{2}\) | 1.0634 | 1.2990 | 1.0000 | 1.3449 |
