Applications of some Exponential Related Distributions
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Proceedings of the Professional Statisticians Society of Nigerian
Abstract
Exponential family of distribution is a very
popular family of distribution functions for analyzing
any lifetime data with a lot of applications in different
fields of knowledge. This family has distribution
functions whose survival, hazard and mean residual life
functions are simple and easy to study. As a result, this
family has been generalized, modified and mixed with
other density functions to give more flexible density
functions to facilitate better modeling and analysis. This
study is carried out to apply some of these distributions
to real life datasets from clinical sciences, remission
times of a Bladder cancer dataset. The behaviours of
these distributions were illustrated graphically. The
parameters of the distributions were estimated using the
maximum likelihood method and their goodness-of-fits
were examined. The distributions were found to provide
satisfactory fits to the datasets considered.
Exponentiated Exponential and Exponential-Gamma
distributions were found to perform better than all the
competing distributions.
Description
Keywords
Exponential family, Gamma, Weibull, Lindley, Hazard rate, Mean residual life, Goodness-of-fit.