A view on characterizations of the J shaped statistical distribution

Azam Zaka; Ahmad Saeed Akhter; Riffat Jabeen  lowast

doi:10.17485/IJST/v13i32.353

Article

A view on characterizations of the J shaped statistical distribution

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v13i32.353

Year: 2020, Volume: 13, Issue: 32, Pages: 3327-3338

Original Article

A view on characterizations of the J shaped statistical distribution

Azam Zaka¹ , Ahmad Saeed Akhter¹ , Riffat Jabeen^2∗

1 College of Statistical and Actuarial Sciences, University of the Punjab, Lahore, Pakistan
2 COMSATS University Islamabad Lahore Campus, Lahore, Pakistan. Tel.: +92-300-4364368

∗Corresponding author:
Tel: +92-300-4364368
Email: [email protected]

Received Date:19 April 2020, Accepted Date:17 May 2020, Published Date:02 September 2020

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: In recent years, characterization of any distribution has become important in the field of probability distribution.The objective of the study is to characterize the power function distribution to see its usefulness under different real life situations such as Engineering and medical sciences. Methods: The study proposed the characterization of Power function distribution based on mean inactivity times (MIT), mean residual function (MRF), conditional moments, conditional variance (CV), doubly truncated mean (DTM), incomplete moments and reverse hazard function. Findings:We have characterized the power function distribution using different method, and conclude that thesufficient and necessary conditions of different methods mentioned above meet the results of Power function distribution. Application: Power function distribution has wide applicability in the field of Engineering. The findings of the paper may help the Engineers to know more about the Power function distribution.

Keywords: Characterization; mean inactivity time; mean residual function; power function distribution

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Copyright

© 2020 Zaka et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)