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
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.
Joumal of Ravishankar University-B, 22(1), 24-31 (2010)
An Approach of Approximation in Small
Area Estimation
D. Shukla11, Jayant Dubey2 and Manish Trivedi3
'Department of Mathematics and Statistics,
Dr. H.S. Gour Vishwavidyalaya, Sagar (M.P.), 470003, India.
2department
Of Business Management, Bt Institute Of Research & Technology, Sironja,
Sagar {M.P.), 470228,
India.
3department Of Applied Mathematics, Bit, Mesra,
Ranchi{Jh), 835215
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.
Keywords: Small area estimation,
Domain, Local area, Mean squared
area
*Corresponding
author: diwakarshukla@rediffmail.com
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