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313453

Correlation Goodness-of-Fit Test of Mixture of Two Weibull Distributions

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Last updated: 05 Jan 2025

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Abstract

In this paper, we use the moment of order statistics for testing mixture of two Weibull distrimutions (MTWD) by using correlation-type goodness-of fit test. Also, we show the performance of the test by calculating the power based on some alternative distributions including; normal, gamma, lognormal, Weibull and the mixture of gamma and lognormal distributions. In addition, we discuss a numerical example. Finally, we apply our results to real lifetime data.

DOI

10.21608/esju.2006.313453

Keywords

Moments of Order Statistics, correlation coefficient, Goodness, of, Fit Test, Power of the Test and Monte Carlo Simulation

Volume

50

Article Issue

1

Related Issue

42976

Issue Date

2006-06-01

Publish Date

2006-06-01

Page Start

48

Page End

59

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313453.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313453

Order

4

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Correlation Goodness-of-Fit Test of Mixture of Two Weibull Distributions

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Article

Created At

28 Dec 2024