A STUDY OF PROPERTIES AND APPLICATIONS OF WEIBULL-BURR XII DISTRIBUTION
A STUDY OF PROPERTIES AND APPLICATIONS OF WEIBULL-BURR XII DISTRIBUTION
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Date
2017-11
Authors
MOHAMMED, Sa’ad
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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