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314523

Burr Type III Distribution: Properties and Estimation

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Last updated: 05 Jan 2025

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Abstract

Burr type III distribution is described and some of its properties are investigated. Some limiting and transformed distributions of this distribution are presented. Based on type II censored samples, the estimation of the parameters, survival and hazard rate functions are obtained by using the maximum likelihood method. Asymptotic variances and covariances of the maximum likelihood estimators are found. The estimated risks, squared biases and variances of the estimates are computed and compared for different sample sizes and number of samples through a simulation study.

DOI

10.21608/esju.1999.314523

Keywords

Burr Type III Distribution, Survival function, hazard rate function, Type II censored samples, Maximum Likelihood Method, Monte Carlo simulation

Volume

43

Article Issue

2

Related Issue

43140

Issue Date

1999-12-01

Publish Date

1999-12-01

Page Start

102

Page End

116

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314523.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314523

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1

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Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Burr Type III Distribution: Properties and Estimation

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Article

Created At

28 Dec 2024