Abstract
The Sushila distribution is generalized in this article using the quadratic rank transmutation map as developed by Shaw and Buckley (2007). The newly developed distribution is called the Transmuted Sushila distribution (TSD). Various mathematical properties of the distribution are obtained. Real lifetime data is used to compare the performance of the new distribution with other related distributions. The results shown by the new distribution perform creditably well.
Highlights
Last few years have witnessed generalizations of various lifetime distributions
The Sushila distribution is generalized in this article using the quadratic rank transmutation map as developed by Shaw and Buckley (2007)
The results shown by the new distribution perform creditably well
Summary
Last few years have witnessed generalizations of various lifetime distributions. This is achieved by compounding the distribution with any of new families of distributions. The process involves introduction of new shape parameter(s) to improve flexibility of the baseline distribution. Researchers in sciences and engineering have applied these families of distribution to improve modelling of various lifetime data. Given a baseline distribution with the CDF G(x), the Quadratic Transmuted (QT) family of distributions has the cdf : F(x) = (1 + a)G(x) − a G(x). Researchers have applied (1.2) and introduced different new members of the QT family for diverse lifetime distributions. List of some QT distributions was provided by [14]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
