Exponentiated Power Function Distribution: Properties and Applications

Authors

Muhammad Zeshan Arshad^{1, *,} , Muhammad Zafar Iqbal^2, , Munir Ahmad¹

¹National College of Business Administration and Economics, 40-E/1, Gulberg-III, Lahore, Punjab 54660, Pakistan

²Department of Mathematics and Statistics, University of Agriculture, Agriculture University Road, Faisalabad, Punjab 38000, Pakistan

^*Corresponding author. Email: profarshad@yahoo.com

DOI

10.2991/jsta.d.200514.001How to use a DOI?

Keywords

Exponentiated distribution; Power function distribution; Bathtub-shaped failure rate; Order statistics; Rényi entropy; Maximum likelihood estimation

Abstract

In this study, we have focused to propose a flexible model that demonstrates increasing, decreasing and upside-down bathtub-shaped density and failure rate functions. The proposed model refers to as the exponentiated power function (EPF) distribution. Some mathematical and reliability measures are developed and derived. We develop explicit expressions for the moments, quantile function and order statistics. Some shapes of the density and the reliability functions are sketched out and discussed. We suggest the method to estimate the unknown parameters of EPF by the maximum likelihood estimation. Two suitable lifetime datasets from engineering sector are used to explore the dominance of the EPF distribution.

Copyright

© 2020 The Authors. Published by Atlantis Press SARL.

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/).

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TY  - JOUR
AU  - Muhammad Zeshan Arshad
AU  - Muhammad Zafar Iqbal
AU  - Munir Ahmad
PY  - 2020
DA  - 2020/07/03
TI  - Exponentiated Power Function Distribution: Properties and Applications
JO  - Journal of Statistical Theory and Applications
SP  - 297
EP  - 313
VL  - 19
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200514.001
DO  - 10.2991/jsta.d.200514.001
ID  - Arshad2020
ER  -