Table 6 Data description using Population 5.
From: Construction of improved comprehensive classes of estimators for population distribution function
Parameter | Value | Parameter | x and y (value) | |||
|---|---|---|---|---|---|---|
\(\overline{\mathcal{X} },\overline{\mathcal{Y} }\) | \({Q}_{1}(x),{Q}_{1}(y)\) | \(\widetilde{\mathcal{X}},\widetilde{\mathcal{Y}}\) | \({Q}_{3}(x),{Q}_{3}(y)\) | |||
\(N\) | 50 | \(\mathcal{F}(y)\) | 0.6800 | 0.2400 | 0.5000 | 0.7600 |
\(n\) | 5 | \({C}_{{F}_{y}}\) | 0.6929 | 1.7975 | 1.0102 | 0.5677 |
\(\lambda\) | 0.18000 | \(\mathcal{F}(x)\) | 0.5800 | 0.2600 | 0.5000 | 0.7600 |
\(\overline{\mathcal{X} }\) | 78.2900 | \({C}_{{F}_{x}}\) | 0.8596 | 1.7042 | 1.0102 | 0.5677 |
\({C}_{x}\) | 0.27229 | \({\rho }_{12}\) | −0.1494 | −0.0128 | −0.120 | −0.2061 |
\(\overline{\mathcal{Z} }\) | 25.5000 | \({\rho }_{13}\) | 0.2841 | 0.3322 | 0.2292 | 0.2174 |
\({C}_{rx}\) | 0.57159 | \({\rho }_{23}\) | −0.8094 | −0.6202 | −0.7894 | −0.8215 |
| Â | Â | \({\rho }_{14}\) | 0.2526 | 0.2402 | 0.1843 | 0.1882 |
|  |  | \({\rho }_{24}\) | −0.8551 | −0.7599 | −0.8663 | −0.7399 |
| Â | Â | \({\beta }_{2}\) | 1.1050 | 1.1975 | 1.0000 | 1.4824 |
