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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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. |
format | Article |
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 |
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