Table 2 Percent relative efficiency (PRE’s) of the proposed estimator with the existing estimators
From: A ratio chain-type exponential estimator for finite population mean using double sampling
Estimators | Percent relative efficiency (PRE’s) | ||
|---|---|---|---|
n′ = 60, n = 30 | n′ = 65, n = 35 | n′ = 70, n = 40 | |
\( \bar{y}_{0} \) | 100.00 | 100.00 | 100.00 |
\( \bar{y}_{1} \) | 211.87 | 210.48 | 211.87 |
\( \bar{y}_{2} \) | 211.99 | 210.60 | 211.99 |
\( \bar{y}_{3} \) | 240.41 | 239.09 | 240.41 |
\( \bar{y}_{4} \) | 279.54 | 278.42 | 279.54 |
\( \bar{y}_{5} \) | 280.41 | 279.29 | 280.41 |
\( \bar{y}_{6} \) | 281.04 | 280.09 | 281.28 |
\( \bar{y}_{7} \) | 281.26 | 280.30 | 281.50 |
\( \bar{y}_{8} \) | 244.79 | 303.05 | 376.54 |
\( \bar{y}_{m} \) | 314.87 | 388.31 | 478.19 |