Generalized class of synthetic estimators for small areas under systematic sampling scheme

Krishan K. Pandey; G. C. Tikkiwal

doi:https://doi.org/10.59170/stattrans-2010-005

Generalized class of synthetic estimators for small areas under systematic sampling scheme

Krishan K. Pandey Assistant Professor, CMES, University of Petroleum & Energy Studies, Dehradun- 248007, India. , G. C. Tikkiwal Department of Mathematics & Statistics, J.N.V. University, Jodhpur, Rajasthan -342011, India Statistics in Transition new series, vol. 11, 2010, 1, pages: 75-89 Published online: 1 July 2010 https://doi.org/10.59170/stattrans-2010-005

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ABSTRACT

This paper defines and discusses a generalized class of synthetic estimators for small domain, using auxiliary information, under systematic sampling scheme. The generalized class of synthetic estimators, among others, includes the simple, ratio and product synthetic estimators. Further, it demonstrates the use of the generalized synthetic and ratio synthetic estimators for estimating crop acreage for small domain and also compares their relative performance with direct estimators, empirically, through a simulation study.

KEYWORDS

Synthetic Estimation; Small Domain; Inspector Land Revenue Circles (ILRCs); Timely Reporting Scheme (TRS); Absolute Relative Bias (ARB); Simulated relative standard error (Srse).

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