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270895

Study on an Extension to Lindley Distribution: Statistical Properties, Estimation and Simulation

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

Mathematical Statistics
Statistical computing

Abstract

 Recently, Nedjar and Zeghdoudi [6] proposed a new lifetime model called gamma Lindley distribution. Roozegar and Nadarajah [8] introduced some notes around gamma Lindley distribution including only some statistical properties and estimations depending on the same probability density function which proposed by Nedjar and Zeghdoudi [6]. In fact, the model proposed by Nedjar and Zeghdoudi [6] is not a probabilistic model. Further, some of its fundamental properties as well as parameter estimations are incorrect. Hence, all corrections which proposed by Roozegar and Nadarajah [8] are also incorrect. On the other hand, Messaadia and Zeghdoudi [5] proposed only one remark around the parameter space of gamma Lindley distribution which proposed by Nedjar and Zeghdoudi [6], but the mathematical properties and estimations are still wrong for both Nedjar and Zeghdoudi [6] and Roozegar and Nadarajah [8]. Because, Messaadia and Zeghdoudi [5] did not discuss any corrections around quantile function, entropies, estimation methods, simulation and data analysis. In this paper, several corrections including probability density function, quantile function, entropies, estimation the model parameters using the maximum likelihood estimation and moment estimation methods and simulation are discussed in-detail because the previous three papers not make a beneft to the readers, especially in practical feld. 

DOI

10.21608/cjmss.2022.270895

Keywords

Lindley distribution, Estimation methods, Simulation

Authors

First Name

Shakaiba

Last Name

Shafq

MiddleName

-

Affiliation

Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur-63100, Pakistan

Email

shakaiba.hashmi@gmail.com

City

-

Orcid

-

First Name

Tamer S.

Last Name

Helal

MiddleName

-

Affiliation

Department of Mathematical Statistics Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt

Email

tamerhelal2006@yahoo.com

City

-

Orcid

-

First Name

Rasha

Last Name

Elshaarawy

MiddleName

S.

Affiliation

Department of Mathematical Statistics Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt

Email

rashasaber123@hotmail.com

City

-

Orcid

-

First Name

Suleman

Last Name

Nasiru

MiddleName

-

Affiliation

Department of Statistics, School of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, Navrongo, Ghana

Email

-

City

-

Orcid

-

Volume

1

Article Issue

1

Related Issue

37729

Issue Date

2022-11-01

Receive Date

2022-09-14

Publish Date

2022-11-01

Page Start

1

Page End

12

Print ISSN

2974-3435

Online ISSN

2974-3443

Link

https://cjmss.journals.ekb.eg/article_270895.html

Detail API

https://cjmss.journals.ekb.eg/service?article_code=270895

Order

1

Type

Original Article

Type Code

2,545

Publication Type

Journal

Publication Title

Computational Journal of Mathematical and Statistical Sciences

Publication Link

https://cjmss.journals.ekb.eg/

MainTitle

Study on an Extension to Lindley Distribution: Statistical Properties, Estimation and Simulation

Details

Type

Article

Created At

23 Jan 2023