ManageChatDiscover
316535

An "Optimal" Subclass of Linear Unbiased Estimators

Article

Last updated: 05 Jan 2025

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

Azzam, Birkes and Seely (1988) studied the problem of characterizing an "optimal' class of linear unbiased estimators. This "optimal" class is the class of all admissible linear unbiased estimators (ALUE's) of an estimable parametric function in linear models. In this paper, a simplification of Azzam el.al. (1988) results concerning calculating ALUE's will be introduced using the subclass G of g-inverses constructed by Zyskind and Martin (1969). Also, a generalization of Zskind and Mertin (1969) results concerning best linear unbiased estimators (BLUE's) is introduced.

DOI

10.21608/esju.1989.316535

Keywords

Admissible Linear Unbiased Estimators, The Smallest Closed Convex Cone, g-Inverse, Polyhedral Structure, Reparameterization

Authors

First Name

Abdul-Mordy

Last Name

Azzam

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

Volume

33

Article Issue

2

Related Issue

43395

Issue Date

1989-12-01

Receive Date

2023-09-07

Publish Date

1989-12-01

Page Start

176

Page End

186

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_316535.html

Detail API

https://esju.journals.ekb.eg/service?article_code=316535

Order

2

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

An "Optimal" Subclass of Linear Unbiased Estimators

Details

Type

Article

Created At

28 Dec 2024