ON FOUR-PARAMETER ODD GENERALIZED EXPONENTIAL-PARETO DISTRIBUTION: ITS PROPERTIES AND APPLICATIONS
ON FOUR-PARAMETER ODD GENERALIZED EXPONENTIAL-PARETO DISTRIBUTION: ITS PROPERTIES AND APPLICATIONS
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Date
2017-07
Authors
ABDULLAHI, JAMILA
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Abstract
The Pareto Distribution has received some sizeable attention in the academia especially
by adding some elements of flexibility to it through introduction of one or more
parameters using generalization approaches. It plays a vital role in analyzing skewed
dataset especially in reliability analysis. In this research, we proposed and study a
four-parameter Odd Generalized Exponential-Pareto Distribution (OGEPD). Some
statistical properties comprising moments, moment generating function, quantile
function, reliability analysis, distribution of order statistics and limiting behaviour
of the new distribution were derived. We also provide plots of the CDF, pdf, survival
function and hazard function for various values of distribution parameters. The
plots for the pdf indicated that it is positively skewed and therefore more appropriate
for fitting positively skewed datasets. The parameters of the distribution were
estimated using method of maximum likelihood. Finally, the proposed distribution
is applied to two real datasets to illustrate its fit as compared to other distributions.
Description
A THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES,
AHMADU BELLO UNIVERSITY, ZARIA-NIGERIA.
IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER OF SCIENCE DEGREE IN STATISTICS
DEPARTMENT OF STATISTICS
FACULTY OF PHYSICAL SCIENCES
AHMADU BELLO UNIVERSITY, ZARIA
NIGERIA
Keywords
ON FOUR-PARAMETER,, ODD GENERALIZED,, EXPONENTIAL-PARETO DISTRIBUTION,