A new extension of the Burr XII distribution generated by odd log-logistic random variables

Mara C. T. Santos and Rodrigo R. Pescim

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 14, 5003-5017

Abstract: Irving W. Burr pioneered the introduction of the Burr XII model which is commonly used in reliability and medical studies. Based on this distribution, we propose a new model called the odd-log-logistic Burr XII distribution for describing lifetime data. It contains several special models such as the log-logistic, Weibull and Burr XII distributions, among several others and thus could be a better model for analyzing positive skewed data. The new density function can be expressed as a linear combination of Burr XII densities. Various mathematical properties of the new distribution including explicit expressions for the ordinary and incomplete moments, cumulants and generating function are derived. We discuss the method of maximum likelihood to fit the model parameters for censored data. For different parameter settings and sample sizes, various simulation cenarious are performed and compared in order to study the performance of the new distribution. The superiority of the proposed lifetime model is illustrated by means of two real data sets.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2023.2200560 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:53:y:2024:i:14:p:5003-5017

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2023.2200560

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().