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Author(s): D. Shukla, Jayant Dubey, Manish Trivedi

Email(s): diwakarshukla@rediffmail.com

Address: Department of Mathematics and Statistics, Dr. H.S. Gour Vishwavidyalaya, Sagar (M.P.), 470003, India
Department Of Business Management, Bt Institute Of Research & Technology, Sironja, Sagar {M.P.), 470228, India
Department Of Applied Mathematics, Bit, Mesra, Ranchi (Jh), 835215

Published In:   Volume - 22,      Issue - 1,     Year - 2010

ABSTRACT:
In sample surveys, the attempt is being made to estimate the unknown population parameters. Often survey practitioners desire to know the estimate of parameters of a small segment of the population called domain or local area, specially when the estimates of the entire population are already available through a large scale survey. Almost in all occasions, estimates for domain posses a large standard error because of their small sample size. While using traditional large sample approximations for obtaining the expressions of bias and mean squared error of estimates, a huge amount of standard error is likely to be involved. This paper takes into account the assumption of large size domains of the population and presents a new approach for deriving expressions of bias and MSE of the estimation procedures. Some estimation strategies are proposed and their expressions are derived using the suggested approach.

Cite this article:
Shukla, Dubey and Trivedi (2010). An Approach of Approximation in Small Area Estimation. Journal of Ravishankar University (Part-B: Science), 22(1), pp. 24-31.


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