EXPONENTIATED-EXPONENTIAL WEIBULL DISTRIBUTION: ITS PROPERTIES AND APPLICATIONS
EXPONENTIATED-EXPONENTIAL WEIBULL DISTRIBUTION: ITS PROPERTIES AND APPLICATIONS
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AMIRU, Faisal Muhammad
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Abstract
ABSTRACT
A four-parameter distribution called Exponentiated-Exponential Weibull (EEW)
distribution was proposed using a generator introduced in earlier research. Statistical
properties of the distribution were derived along with its reliability functions
and asymptotic behaviour. The distribution parameters were estimated using the
method of Maximum Likelihood Estimation (MLE). The distribution generalizes
some well-known special lifetime models such as Exponential, Exponential Weibull
and Generalized Exponential distribution. The probability density of the distribution
indicate that it is skewed to the right (Positively skewed). We compared the
performance of EEW distribution with some related distributions from the literature
using the AIC and CAIC method of comparison. Applicability of the distribution
was also observed using two real datasets and it was found that the distribution
fitted the dataset. Finally it is recommended that the distribution can be used for
modelling real life data especially if it is positively skewed.
Description
A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES,
AHMADU BELLO UNIVERSITY, ZARIA-NIGERIA.
IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF
A MASTER DEGREE IN STATISTICS
Keywords
EXPONENTIATED-EXPONENTIAL,, WEIBULL DISTRIBUTION,, PROPERTIES,, APPLICATIONS