STUDY ON INFERENCES AND APPLICATIONS OF ODD GENERALIZED EXPONENTIAL-RAYLEIGH DISTRIBUTION
STUDY ON INFERENCES AND APPLICATIONS OF ODD GENERALIZED EXPONENTIAL-RAYLEIGH DISTRIBUTION
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Date
2017-07
Authors
UMAR, NURA
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Abstract
The Rayleigh distribution has wide range of applications in Applied Sciences; some of
which are related to sea waves, harbor, coastal-engineering and studies on wind-wave
heights among others. In this work, we propose a new lifetime model entitled Odd
Generalized Exponential-Rayleigh (OGE-R) Distribution and present some of its
statistical properties comprising moments, moment generating function, quantile
function, median, reliability analysis and order statistics. The plot for the pdf of
the distribution showed that OGE-R distribution is positively skewed, which makes
it a good candidate for fitting dataset that are positively skewed. Also, the plot of
the hazard funtion indicates that the proposed model can adequately fit dataset with
J-shape. A method of maximum likelihood was used to estimate the parameters of
the new distribution. The applicability of the new distribution using real dataset
was also illustrated and its performance compared with other distributions. The
result of the comparison shows that the distribution is competitive in modeling
positively skewed datasets because it has the smallest values of the AIC=18.1925,
AICC=18.5454 and BIC=17.7644 than the other three distributions considered.
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 DEGREE IN STATISTICS
DEPARTMENT OF STATISTICS
FACULTY OF PHYSICAL SCIENCES
AHMADU BELLO UNIVERSITY, ZARIA
NIGERIA
Keywords
STUDY,, INFERENCES,, APPLICATIONS,, ODD GENERALIZED,