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314827

Comparison Between the MINQUE and the PSD-MINQMBE in the Unbalanced One Way Random Effects Model

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Last updated: 05 Jan 2025

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Abstract

The PSD-MINOMBE (Positive Semi Definite - Minimum Norm Quadratic Minimum Biased Estimator) for estimating the variance components in the unbalanced one way random effects model is given by Shaban (1990). In this paper we shall use the MSE (Mean Square Error) criteria for the comparison between the MINQUE (Minimum Norm Quadratic Unbiased Estimator) introduced by Rao (1972) and the PSD-MINQMBE in estimating σa2 in the unbalanced one way random effects model in the case of two groups.

DOI

10.21608/esju.1994.314827

Keywords

Unbalanced one way random effects model, MSE, MINQUE, PSD-MINQMBE

Authors

First Name

Abdel Magid

Last Name

Shaban

MiddleName

M.

Affiliation

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Volume

38

Article Issue

2

Related Issue

43178

Issue Date

1994-12-01

Receive Date

2023-08-27

Publish Date

1994-12-01

Page Start

222

Page End

230

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314827.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314827

Order

6

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Comparison Between the MINQUE and the PSD-MINQMBE in the Unbalanced One Way Random Effects Model

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Article

Created At

28 Dec 2024