Beta
386817

A new lifetime distribution has been defined. This distribution is obtained from a transformation of a random variable with beta distribution and is called here the kagebushin-be

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Last updated: 31 Dec 2024

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Abstract

A new lifetime distribution has been defined. This distribution is obtained from a
transformation of a random variable with beta distribution and is called here the
kagebushin-beta distribution. Some mathematical properties such as mode, quantile function, ordinary and incomplete moments, mean deviations over the mean and median and the entropies of Rényi and Shannon are demonstrated. The maximum likelihood method is used to obtain parameter estimates. Monte Carlo simulations are carried out to verify the accuracy of the maximum likelihood estimators. Applications to real data showed that the kagebushin-beta model can be better than the Weibull, gamma and exponentiated exponential distributions

DOI

10.1186/s42787-022-00158-7

Keywords

Kagebushin-beta distribution, Rényi entropy, Shannon Entropy, Mean deviations, Ordinary and incomplete momentsٍ

Volume

30

Article Issue

1

Related Issue

51015

Issue Date

2022-01-01

Receive Date

2024-10-17

Publish Date

2022-01-01

Page Start

1

Page End

10

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_386817.html

Detail API

https://joems.journals.ekb.eg/service?article_code=386817

Order

386,817

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

A new lifetime distribution has been defined. This distribution is obtained from a transformation of a random variable with beta distribution and is called here the kagebushin-beta distribution. Some mathematical properties such as mode, quantile function, ordinary and incomplete moments, mean deviations over the mean and median and the entropies of Rényi and Shannon are demonstrated. The maximum likelihood method is used to obtain parameter estimates. Monte Carlo simulations are carried o

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Type

Article

Created At

21 Dec 2024