Cite this article:
Singh and Upadhyaya (1996). Product Estimators Under Durbin's Model. Journal of Ravishankar University (Part-B: Science), 9(1), pp. 101-109.
Journal of Ravishankar University Vol. 9 No. B (Science) 1996 pp. 101-109 ISSN 0970-5910
Product Estimators Under Durbin's Model
A.K. Singh and L.N. Upadhyaya*
Deptt. of Statistics, Pachhunga University College,
NEHU, Aizawl-796001.
* Deptt. of
Applied Mathematics, Indian School of Mines, Dhanbad 826004
Ms: Received 23.6.94; Revised:
16.8.
95; Accepted: 22.9.95.
Abstract: In this papar we have propsed a class of product
astimators for estimating the population means Y of study character
y using auxiliary information on x
character in singla
phase
sampling. Assuming a linear
model
the bias and mean square of the proposed estimator has been derived
and its efficiency compared with the
usual unbiased
estimator (y) and the conventional product estimator. Here, to simplity the discussion,
we confina ourselvas to
simple random sampling and assuma the population size to be infinite.
Key words:
Auxiliary Variable,
Bias, Maan Square Ermr, Efficiency.
NOTE: Full version
of this manuscript is available in PDF.