Table 5 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 \(\overline{y}_{ds}\) for unequal strata size.
From: Improved exponential type ratio estimator in double sampling for stratification
Estimators | Percent relative efficiency | ||
|---|---|---|---|
Population 1 | Population 2 | Population 3 | |
\(\overline{y}_{ds}\) | 100.00 | 100.00 | 100.00 |
\(\hat{\overline{Y}}_{R}^{ds}\) | 228.17 | 124.69 | 262.03 |
\(\hat{\overline{Y}}_{{\text{Re}}}^{ds}\) | 93.90 | 102.30 | 96.342 |
\(\hat{\overline{Y}}_{{\text{Re}}}^{*}\) | 152.24 | 106.74 | 130.06 |
\(\hat{\overline{Y}}_{Rd}^{*}\) | 222.79 | 114.03 | 169.78 |
\(\hat{\overline{Y}}_{Rpd}^{*}\) | 92.49 | 108.94 | 105.23 |
\(\hat{\overline{Y}}_{{C{\text{Re}} }}^{ds}\) | 325.85 | 126.06 | 360.46 |
