A New Burr XII-Weibull-Logarithmic Distribution for Survival and Lifetime Data Analysis: Model, Theory and Applications

Broderick O. Oluyede, Boikanyo Makubate, Adeniyi F. Fagbamigbe and Precious Mdlongwa
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Broderick O. Oluyede: Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, 30460, USA
Boikanyo Makubate: Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, BW
Adeniyi F. Fagbamigbe: Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, BW
Precious Mdlongwa: Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, BW

Stats, 2018, vol. 1, issue 1, 1-15

Abstract: A new compound distribution called Burr XII-Weibull-Logarithmic (BWL) distribution is introduced and its properties are explored. This new distribution contains several new and well known sub-models, including Burr XII-Exponential-Logarithmic, Burr XII-Rayleigh-Logarithmic, Burr XII-Logarithmic, Lomax-Exponential-Logarithmic, Lomax–Rayleigh-Logarithmic, Weibull, Rayleigh, Lomax, Lomax-Logarithmic, Weibull-Logarithmic, Rayleigh-Logarithmic, and Exponential-Logarithmic distributions. Some statistical properties of the proposed distribution including moments and conditional moments are presented. Maximum likelihood estimation technique is used to estimate the model parameters. Finally, applications of the model to real data sets are presented to illustrate the usefulness of the proposed distribution.

Keywords: Burr XII-Weibull-logarithmic distribution; logarithmic distribution; Burr XII distribution; Weibull distribution; maximum likelihood estimation (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2018
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