STUDY ON BETA-KUMARASWAMY DISTRIBUTION
STUDY ON BETA-KUMARASWAMY DISTRIBUTION
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Date
2018-06
Authors
MAKAMA, Sani Musa
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Abstract
In recent years a new generalized family of continuous distribution known as beta-G Distribution was proposed. This Base-Line Distribution has been used to generate new distributions. We proposed therefore in this research an extension of kumaraswamy distribution using the logit of the beta random variable and study some of its properties. The Probability Density Function (PDF) and Cumulative Density Function (CDF)of the Beta -kumaraswamy are defined. Hazard Rate Function, Survival Function and Asymptotic Behavior of the distribution are obtained.The method of maximum likelihood was used to estimate the parameters of the newdistribution. The performance of the distribution was evaluated using both simulated and real-lifedatasets. The new distribution is recommended for modeling positively skewed datasets with higher peaks and tails.it was alsoquite flexible when subjected to some of the existing distribution by fitting it to two real datasets
Description
A THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA 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
STUDY,, BETA-KUMARASWAMY,, DISTRIBUTION,