A New Member from the T − X Family of Distributions: the Gumbel-Burr XII Distribution and Its Properties

Patrick Osatohanmwen (), Francis O Oyegue and Sunday M Ogbonmwan
Additional contact information
Patrick Osatohanmwen: University of Benin
Francis O Oyegue: University of Benin
Sunday M Ogbonmwan: University of Benin

Sankhya A: The Indian Journal of Statistics, 2019, vol. 81, issue 2, No 2, 298-322

Abstract: Abstract A new member from the T − X family of distribution called the Gumbel-Burr XII (GUBXII) distribution is introduced. This was realized by adopting the logit transformation of the cumulative distribution function of the Burr XII random variable, while taking the Gumbel distribution as the generator. An account of some mathematical properties of the new distribution including the maximum likelihood estimation of its parameters is presented. A real data set is further used to test the applicability of the new distribution.

Keywords: T − X family; Logit function; Maximum likelihood estimation; Gumbel distribution; Burr XII distribution; Primary 60E05; Secondary 62E15 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s13171-017-0110-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:sankha:v:81:y:2019:i:2:d:10.1007_s13171-017-0110-x

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/13171

DOI: 10.1007/s13171-017-0110-x

Access Statistics for this article

Sankhya A: The Indian Journal of Statistics is currently edited by Dipak Dey

More articles in Sankhya A: The Indian Journal of Statistics from Springer, Indian Statistical Institute
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().