Abstract
A new distribution called the Lindley-Burr XII (LBXII) distribution is proposed and studied. Some structural properties of the new distribution including moments, conditional moments, distribution of the order statistics and R´enyi entropy are derived. Maximum likelihood estimation technique is used to estimate the model parameters. A simulation study to examine the bias and mean square error of the maximum likelihood estimators is presented and applications to real data sets in order to illustrate the usefulness of the new distribution are given.
Highlights
A New Lindley-Burr XII DistributionReceived: October 27, 2020 Accepted: May 26, 2021 Online Published: June 1, 2021 doi:10.5539/ijsp.v10n4p33
There are several generalizations of the Lindley distribution that are considered to be useful life models, and are suitable for modeling data with different types of hazard rate functions including increasing, decreasing, bathtub and unimodal. (Lindley, 1958) used a mixture of exponential and length-biased exponential distributions to illustrate the difference between fiducial and posterior distributions
We note from equation (7) that the hazard rate function of the Lindley-Burr XII (LBXII) distribution is given by hG(x) = hGL (x) + hGB (x), (9)
Summary
Received: October 27, 2020 Accepted: May 26, 2021 Online Published: June 1, 2021 doi:10.5539/ijsp.v10n4p33
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 callMore From: International Journal of Statistics and Probability
Disclaimer: 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.
