Table 2 Percent relative efficiencies of \(\overline{y}_{ds}\), \(\hat{\overline{Y}}_{R}^{ds}\), \(\hat{\overline{Y}}_{{\text{Re}}}^{ds}\), \(\hat{\overline{Y}}_{{\text{Re}}}^{*}\)\(\hat{\overline{Y}}_{Rd}^{*}\), \(\hat{\overline{Y}}_{Rpd}^{*}\) and \(\hat{\overline{Y}}_{CRe}^{ds}\) with respect to \(\overline{y}_{ds}\).
From: Improved exponential type ratio estimator in double sampling for stratification
Estimators | Percent relative efficiency | |
|---|---|---|
Population 1 | Population 2 | |
\(\overline{y}_{ds}\) | 100.00 | 100.00 |
\(\hat{\overline{Y}}_{R}^{ds}\) | 81.60 | 160.95 |
\(\hat{\overline{Y}}_{{\text{Re}}}^{ds}\) | 89.23 | 91.62 |
\(\hat{\overline{Y}}_{{\text{Re}}}^{*}\) | 109.80 | 159.45 |
\(\hat{\overline{Y}}_{Rd}^{*}\) | 101.43 | * |
\(\hat{\overline{Y}}_{Rpd}^{*}\) | 58.08 | * |
\(\hat{\overline{Y}}_{{C{\text{Re}} }}^{ds}\) | 110.41 | 169.13 |
