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The efficiency of an alternative to ratio estimator under a super population model

✍ Scribed by Rajesh Singh; Housila P. Singh; M.Ruiz Espejo

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
117 KB
Volume
71
Category
Article
ISSN
0378-3758

No coin nor oath required. For personal study only.

✦ Synopsis

have suggested an alternative to ratio estimator. Its eciency relative to usual unbiased estimator, ratio estimator and product estimator based on simple random sampling without replacement (SRSWOR) is studied under a super population model with uncorrelated error and a gamma distributed auxiliary character. It has been shown that the estimator forwarded by is inferior to usual ratio estimator except when variance of study variate is constant (i.e. g = 0). However, their estimator is better than the usual unbiased estimator and product estimator for a wide range of a constant involved in the estimator. Results have been supported with some numerical examples.

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