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:: Volume 20, Issue 2 (10-2015) ::
Andishe 2015, 20(2): 57-66 Back to browse issues page
An Application of Linear Model in Small Area Estimationof Orange production in Fars province
Abstract:   (5074 Views)

Methods for small area estimation have been received great attention in recent years due to growing demand for
reliable small area estimation that are needed in development planings, allocation of government funds and marking
business decisions. The key question in small area estimation is how to obtain reliable estimations when sample
size is small. When only a few observations(or even no observation) are available from a given small area, small
sample sizes lead to undesirably large standard errors. The only possible solution to the estimation problem is to
borrow strength from available data sets. This is accomplish by using appropriate linking models (included explicit
and implicit models) to increas the effect of sample size for estimation. The generalized linear mixed models and
the empirical best linear unbiased predictor, are extensively used to estimate reliable mean of small areas. In this
article,first we introduce the small area estimation.Then, to obtain reliable small area estimations we introduce the
Fay-Herriot model as a special case of the generalized linear mixed model. Finally, in an Simulation study we use
Iran 1382 agricultural census data to estimate orange production in Fars cities (small areas) in the year 1382 based
on Fay-Herriot model.

Keywords: Small area estimation, direct estimator, indirect estimator, Fay-Herriot model, generalized linear mixed models, restricted maximum likelihood estimation, empirical best linear unbiased predictor.
Full-Text [PDF 271 kb]   (1544 Downloads)    
Type of Study: Applicable | Subject: Special
Received: 2015/12/16 | Accepted: 2016/08/2 | Published: 2016/08/2
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An Application of Linear Model in Small Area Estimationof Orange production in Fars province. Andishe 2015; 20 (2) :57-66
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Volume 20, Issue 2 (10-2015) Back to browse issues page
مجله اندیشه آماری Andishe _ye Amari
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