A Note on Topp-Leone Odd Log-Logistic Inverse Exponential Distribution

Salman Abbas; Fakhar Mustafa; Syed Ali Taqi; Selen Cakmakyapan; Gamze Ozel

doi:10.2991/jsta.d.200827.002

<Previous Article In Issue

Next Article In Issue>

Volume 19, Issue 3, September 2020, Pages 397 - 407

A Note on Topp-Leone Odd Log-Logistic Inverse Exponential Distribution

Authors

Salman Abbas¹^{, *}, Fakhar Mustafa², Syed Ali Taqi¹, Selen Cakmakyapan³, Gamze Ozel⁴

¹Department of Statistics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan

²Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal, Pakistan

³Department of Statistics, Istanbul Medeniyet University, İstanbul, Turkey

⁴Department of Statistics, Hacettepe University, Ankara, Turkey

^*Corresponding author. Email: salmanabbas@ciitwah.edu.pk

Corresponding Author

Salman Abbas

Received 10 March 2019, Accepted 16 January 2020, Available Online 7 September 2020.

DOI: 10.2991/jsta.d.200827.002 How to use a DOI?
Keywords: Inverse exponential distribution; Topp-Leone odd log-logistic family; Hazard function; Residual and reversed residual life functions; Unimodal
Abstract: The inverse exponential distribution is widely used in the field of reliability. In this article, we present a generalization of the inverse exponential distribution in formation of Topp-Leone odd log-logistic inverse exponential distribution. We provide a comprehensive account of some mathematical properties of the Topp-Leone odd log-logistic inverse exponential distribution. The possible shapes of the corresponding probability density function and hazard function are obtained and graphical demonstration are presented. The distribution is found to be unimodal. The results for moment, moment-generating function, and probability-generating function are computed. The residual and reversed residual functions are also obtained. The proposed method of maximum likelihood is used for the estimation of model parameters. The performance of the parameters is investigated through simulation. The usefulness of the proposed model is illustrated by means of a real data set.
Open Access: This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)
View full text (HTML)

<Previous Article In Issue

Next Article In Issue>

Journal: Journal of Statistical Theory and Applications
Volume-Issue: 19 - 3
Pages: 397 - 407
Publication Date: 2020/09/07
ISSN (Online): 2214-1766
ISSN (Print): 1538-7887
DOI: 10.2991/jsta.d.200827.002 How to use a DOI?
Open Access: This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

ris enw bib

TY  - JOUR
AU  - Salman Abbas
AU  - Fakhar Mustafa
AU  - Syed Ali Taqi
AU  - Selen Cakmakyapan
AU  - Gamze Ozel
PY  - 2020
DA  - 2020/09/07
TI  - A Note on Topp-Leone Odd Log-Logistic Inverse Exponential Distribution
JO  - Journal of Statistical Theory and Applications
SP  - 397
EP  - 407
VL  - 19
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200827.002
DO  - 10.2991/jsta.d.200827.002
ID  - Abbas2020
ER  -

download .riscopy to clipboard