A STUDY OF PROPERTIES AND APPLICATIONS OF WEIBULL-BURR XII DISTRIBUTION

No Thumbnail Available
Date
2017-11
Authors
MOHAMMED, Sa’ad
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In recent times, lots of efforts have been made to define new probability distributions that cover different aspect of human endeavors with a view to providing alternatives in modeling real data. A five-parameter distribution, called Weibull-Burr XII (Wei- Burr XII) distribution is studied and investigated to serve as an alternative model for skewed data set in life and reliability studies. Some of its statistical properties are obtained, these include moments, moment generating function, characteristics function, quantile function and reliability (survival) functions. The distribution’s parameters are estimated by the method of maximum likelihood. We evaluated the performance of the new distribution compared with other competing distributions based on application on real data and it was concluded that Weibull-Burr XII distribution perfom best using BIC, AIC and CAIC. It was also concluded that the distribution can be used to model highly skewed data (skewed to the right)
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POST GRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA-NIGERIA, IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTERS DEGREE IN STATISTICS DEPARTMENT OF STATISTICS, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA
Keywords
STUDY,, PROPERTIES,, APPLICATIONS,, WEIBULL-BURR XII DISTRIBUTION
Citation
Collections