The Transmuted Geometric-Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications

Authors

Fiaz Ahmad Bhatti, National College of Business Administration and EconomicFollow
Gholamhossein Hamedani, Marquette UniversityFollow
Mustafa Ç. Korkmaz, Artvin Çoruh University
Munir Ahmad, National College of Business Administration and Economics, LahoreFollow

Document Type

Article

Language

eng

Publication Date

8-13-2018

Publisher

Springer

Source Publication

Journal of Statistical Distributions and Applications

Source ISSN

2195-5832

Abstract

We propose a five parameter transmuted geometric quadratic hazard rate (TG-QHR) distribution derived from mixture of quadratic hazard rate (QHR), geometric and transmuted distributions via the application of transmuted geometric-G (TG-G) family of Afify et al.(Pak J Statist 32(2), 139-160, 2016). Some of its structural properties are studied. Moments, incomplete moments, inequality measures, residual life functions and some other properties are theoretically taken up. The TG-QHR distribution is characterized via different techniques. Estimates of the parameters for TG-QHR distribution are obtained using maximum likelihood method. The simulation studies are performed on the basis of graphical results to illustrate the performance of maximum likelihood estimates (MLEs) of the TG-QHR distribution. The significance and flexibility of TG-QHR distribution is tested through different measures by application to two real data sets.

Comments

Published version. Journal of Statistical Distributions and Applications, Vol. 5, No. 4 (2018). DOI. © the Authors. Used with permission.

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Creative Commons License

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

Recommended Citation

Bhatti, Fiaz Ahmad; Hamedani, Gholamhossein; Korkmaz, Mustafa Ç.; and Ahmad, Munir, "The Transmuted Geometric-Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications" (2018). Mathematics, Statistics and Computer Science Faculty Research and Publications. 646.
https://epublications.marquette.edu/mscs_fac/646