Table 6 Mean squared error 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 | Mean squared error | ||
|---|---|---|---|
Population 1 | Population 2 | Population 3 | |
\(\overline{y}_{ds}\) | 0.0886 | 0.2460 | 0.0949 |
\(\hat{\overline{Y}}_{R}^{ds}\) | 0.0388 | 0.1973 | 0.0362 |
\(\hat{\overline{Y}}_{{\text{Re}}}^{ds}\) | 0.0944 | 0.2405 | 0.0985 |
\(\hat{\overline{Y}}_{{\text{Re}}}^{*}\) | 0.0582 | 0.2305 | 0.0729 |
\(\hat{\overline{Y}}_{Rd}^{*}\) | 0.0397 | 0.2157 | 0.0559 |
\(\hat{\overline{Y}}_{Rpd}^{*}\) | 0.0958 | 0.2258 | 0.0902 |
\(\hat{\overline{Y}}_{{C{\text{Re}} }}^{ds}\) | 0.0272 | 0.1951 | 0.0263 |
