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316600

Efficiency of Kimball's Linearized Maximum Likelihood Estimators for the Two Parameter Weibull and Extreme Value Distributions

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Last updated: 28 Dec 2024

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Abstract

Asymptotic efficiencies, of Kimball's linearized maximum likelihood estimator β ̂ for the scale parameter of the Type I extreme value distribution are evaluated for Type II censored samples. The means and expected squared errors of β ̂ are compared with those of the best linear unbiased order statistic estimator and the asymptotic efficient linear order estimator based on a continuous weighting function for sample sizes n=10 and 20. Asymptotic efficiencies of an approximate maximum likelihood estimator α̂ for the location parameter α of the extreme value distribution are also evaluated.

DOI

10.21608/esju.1985.316600

Keywords

Asymptotic Efficiency, Censored Samples, Extreme Value Distribution, Kimball's Linearized Maximum Likelihood Estimators, Order Statistic Estimator, Weibull distribution

Authors

First Name

M.

Last Name

Habib

MiddleName

G.

Affiliation

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Email

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City

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Orcid

-

First Name

A.

Last Name

Bargal

MiddleName

I.

Affiliation

-

Email

-

City

-

Orcid

-

Volume

29

Article Issue

2

Related Issue

43407

Issue Date

1985-12-01

Receive Date

2023-09-07

Publish Date

1985-12-01

Page Start

94

Page End

100

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_316600.html

Detail API

https://esju.journals.ekb.eg/service?article_code=316600

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

Efficiency of Kimball's Linearized Maximum Likelihood Estimators for the Two Parameter Weibull and Extreme Value Distributions

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Article

Created At

28 Dec 2024