Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression Model

We consider two kinds of weighted mixed almost unbiased estimators in a linear stochastic restricted regression model when the prior information and the sample information are not equally important. The superiorities of the two new estimators are discussed according to quadratic bias and variance ma...

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Main Authors: Chaolin Liu, Haina Jiang, Xinhui Shi, Donglin Liu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/314875
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author Chaolin Liu
Haina Jiang
Xinhui Shi
Donglin Liu
author_facet Chaolin Liu
Haina Jiang
Xinhui Shi
Donglin Liu
author_sort Chaolin Liu
collection DOAJ
description We consider two kinds of weighted mixed almost unbiased estimators in a linear stochastic restricted regression model when the prior information and the sample information are not equally important. The superiorities of the two new estimators are discussed according to quadratic bias and variance matrix criteria. Under such criteria, we perform a real data example and a Monte Carlo study to illustrate theoretical results.
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id doaj-art-2a3dfde0535d4fc9a4ac769ad0a2bfca
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-2a3dfde0535d4fc9a4ac769ad0a2bfca2025-02-03T01:31:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/314875314875Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression ModelChaolin Liu0Haina Jiang1Xinhui Shi2Donglin Liu3College of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaChongqing College of Electronic Engineering, Chongqing 401331, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaWe consider two kinds of weighted mixed almost unbiased estimators in a linear stochastic restricted regression model when the prior information and the sample information are not equally important. The superiorities of the two new estimators are discussed according to quadratic bias and variance matrix criteria. Under such criteria, we perform a real data example and a Monte Carlo study to illustrate theoretical results.http://dx.doi.org/10.1155/2014/314875
spellingShingle Chaolin Liu
Haina Jiang
Xinhui Shi
Donglin Liu
Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression Model
Journal of Applied Mathematics
title Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression Model
title_full Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression Model
title_fullStr Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression Model
title_full_unstemmed Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression Model
title_short Two Kinds of Weighted Biased Estimators in Stochastic Restricted Regression Model
title_sort two kinds of weighted biased estimators in stochastic restricted regression model
url http://dx.doi.org/10.1155/2014/314875
work_keys_str_mv AT chaolinliu twokindsofweightedbiasedestimatorsinstochasticrestrictedregressionmodel
AT hainajiang twokindsofweightedbiasedestimatorsinstochasticrestrictedregressionmodel
AT xinhuishi twokindsofweightedbiasedestimatorsinstochasticrestrictedregressionmodel
AT donglinliu twokindsofweightedbiasedestimatorsinstochasticrestrictedregressionmodel