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268726

Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications

Article

Last updated: 28 Dec 2024

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Abstract

 In this article, a four-parameter generalization of Lindley distribution is  obtained, with the purpose of obtaining a more flexible model relative to the behavior of hazard rate functions. Various statistical properties such as density , hazard  rate functions, moments, generating function, stochastic ordering, Renyi entropy, distribution of  Kth order statistics has been derived. The method of maximum likelihood estimation has been used to estimation parameters. Further confidence intervals are also obtained. Finally , applicability of the proposed model to the real data is analyzed. A comparison has also been made some existing distributions.

DOI

10.21608/esju.2019.268726

Keywords

Lambert function, Maximum likelihood estimation, Order Statistics, Extended inverse Lindley distribution, Stochastic ordering

Volume

63

Article Issue

1

Related Issue

37534

Issue Date

2019-06-01

Receive Date

2022-11-06

Publish Date

2019-06-01

Page Start

19

Page End

38

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_268726.html

Detail API

https://esju.journals.ekb.eg/service?article_code=268726

Order

3

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Extended Exponentiated Inverse Lindley Distribution: Model, Properties and Applications

Details

Type

Article

Created At

23 Jan 2023