Research Article

Enhanced Estimation of the Population Mean Using Two Auxiliary Variables under Probability Proportional to Size Sampling

Table 6

Percentage relative efficiency using simulated data I–IV.

EstimatorsPopulation IPopulation IIPopulation IIIPopulation IV

100100100100
464.38141085.52962.63419113.1176
28.1212526.6796725.0636119.29012
470.67821086.011124.9428231.5562
258.9004316.4318117.6493230.6734
48.6240946.6407148.8610138.70724
470.84281087.72125.0442244.9634
470.70561086.344124.9505233.8571
470.86851088.296125.0341247.7712
100.0215100.0597100.0239101.8007
888.42422121.199180.8025409.523
888.42362121.193180.8023409.1696
888.42422121.199180.8025409.5405
888.41592121.104180.7987408.2019
888.4242121.197180.8025409.4457
888.42142121.163180.8019409.0597
888.42422121.199180.8025409.5145
888.42412121.198180.8025409.5142
888.42352121.193180.802409.0633
888.3872120.847180.7854406.9234