Table 4 Data description using Population 3.
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 | \(\mathcal{F}(x)\) | 0.7681 | 0.2464 | 0.5072 | 0.7536 |
\(\overline{\mathcal{X} }\) | 4954.44 | \({C}_{{F}_{x}}\) | 0.5535 | 1.7618 | 0.9928 | 0.5759 |
\({C}_{x}\) | 1.42478 | \({\rho }_{12}\) | 0.6607 | 0.7658 | 0.9420 | 0.7658 |
\(\overline{\mathcal{Z} }\) | 35.0000 | \({\rho }_{13}\) | −0.7129 | −0.3612 | −0.5709 | −0.7424 |
\({C}_{rx}\) | 0.57321 | \({\rho }_{23}\) | −0.7745 | −0.3650 | −0.5427 | −0.7584 |
|  |  | \({\rho }_{14}\) | −0.7168 | −0.7109 | −0.8558 | −0.7008 |
|  |  | \({\rho }_{24}\) | −0.7310 | −0.7464 | −0.8660 | −0.7464 |
| Â | Â | \({\beta }_{2}\) | 1.6144 | 1.3857 | 1.0000 | 1.3857 |
