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314819

Modified Goodness of Fit Tests for the Burr Distribution with Two Unknown Shape Parameters

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Last updated: 05 Jan 2025

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Abstract

Goodness of fit tests are designed for checking the validity of a null hypothesis. This hypothesis is a statement about the form of the distribution function of the parent population from which the sample is drawn. Ideally, the hypothesized distribution is completely specified, if the hypothesis states that the distribution belong to some family of distributions. The unknown parameters must be estimated from the sample data in order to perform a test. For censored samples, the complete sample procedures of goodness of fit tests and the critical values obtained from published tables of the distributions of the test statistics based on complete samples are inappropriate. Also, the goodness of fit tests for censored data are inappropriate when parameters of the hypothesized distribution are estimated from the data used for the test. This paper gives tables of critical values of modified Kolmogorov-Smirnov (KS). Cramer-Von Mises (CVM) and Anderson-Darling (AD) tests for the Burr distribution with unknown parameters in the case of type Il censored samples. The powers of these tests are given for a number of alternative distributions.

DOI

10.21608/esju.1994.314819

Keywords

Burr distribution, Censored Samples, Critical Values Tables, Modified Goodness of Fit Tests

Authors

First Name

Samir

Last Name

Ashour

MiddleName

K.

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City

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Orcid

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First Name

Abd-Allah

Last Name

Abd-Elfattah

MiddleName

M.

Affiliation

-

Email

-

City

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Orcid

-

Volume

38

Article Issue

1

Related Issue

43177

Issue Date

1994-06-01

Receive Date

2023-08-27

Publish Date

1994-06-01

Page Start

115

Page End

128

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314819.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314819

Order

5

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Modified Goodness of Fit Tests for the Burr Distribution with Two Unknown Shape Parameters

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Article

Created At

28 Dec 2024