A new Weibull-X family of distributions: properties, characterizations and applications

Zubair Ahmad (), M. Elgarhy () and G. G. Hamedani ()
Additional contact information
Zubair Ahmad: Quaid-i-Azam University 45320
M. Elgarhy: University of Jeddah
G. G. Hamedani: Marquette University

Journal of Statistical Distributions and Applications, 2018, vol. 5, issue 1, 1-18

Abstract: Abstract We propose a new family of univariate distributions generated from the Weibull random variable, called a new Weibull-X family of distributions. Two special sub-models of the proposed family are presented and the shapes of density and hazard functions are investigated. General expressions for some statistical properties are discussed. For the new family, three useful characterizations based on truncated moments are presented. Three different methods to estimate the model parameters are discussed. Monti Carlo simulation study is conducted to evaluate the performances of these estimators. Finally, the importance of the new family is illustrated empirically via two real life applications.

Keywords: Weibull distribution; T-X family; Moment; Characterizations; Order statistics; Estimation (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1186/s40488-018-0087-6 Abstract (text/html)

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:jstada:v:5:y:2018:i:1:d:10.1186_s40488-018-0087-6

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/40488

DOI: 10.1186/s40488-018-0087-6

Access Statistics for this article

Journal of Statistical Distributions and Applications is currently edited by Felix Famoye and Carl Lee

More articles in Journal of Statistical Distributions and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().