Next Article in Journal
Smooth Tests of Fit for the Lindley Distribution
Previous Article in Journal
The Impact of Misspecified Random Effect Distribution in a Weibull Regression Mixed Model
Article Menu

Export Article

Open AccessArticle
Stats 2018, 1(1), 77-91; https://doi.org/10.3390/stats1010006

A New Burr XII-Weibull-Logarithmic Distribution for Survival and Lifetime Data Analysis: Model, Theory and Applications

1
Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, 30460, USA
2
Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, BW
3
Department of Epidemiology and Medical Statistics, University of Ibadan, NG
*
Author to whom correspondence should be addressed.
Received: 28 March 2018 / Revised: 30 May 2018 / Accepted: 1 June 2018 / Published: 9 June 2018
Full-Text   |   PDF [518 KB, uploaded 20 July 2018]   |  

Abstract

A new compound distribution called Burr XII-Weibull-Logarithmic (BWL) distribution is introduced and its properties are explored. This new distribution contains several new and well known sub-models, including Burr XII-Exponential-Logarithmic, Burr XII-Rayleigh-Logarithmic, Burr XII-Logarithmic, Lomax-Exponential-Logarithmic, Lomax–Rayleigh-Logarithmic, Weibull, Rayleigh, Lomax, Lomax-Logarithmic, Weibull-Logarithmic, Rayleigh-Logarithmic, and Exponential-Logarithmic distributions. Some statistical properties of the proposed distribution including moments and conditional moments are presented. Maximum likelihood estimation technique is used to estimate the model parameters. Finally, applications of the model to real data sets are presented to illustrate the usefulness of the proposed distribution. View Full-Text
Keywords: Burr XII-Weibull-logarithmic distribution; logarithmic distribution; Burr XII distribution; Weibull distribution; maximum likelihood estimation Burr XII-Weibull-logarithmic distribution; logarithmic distribution; Burr XII distribution; Weibull distribution; maximum likelihood estimation
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Oluyede, B.O.; Makubate, B.; Fagbamigbe, A.F.; Mdlongwa, P. A New Burr XII-Weibull-Logarithmic Distribution for Survival and Lifetime Data Analysis: Model, Theory and Applications. Stats 2018, 1, 77-91.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Stats EISSN 2571-905X Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top