STUDY ON LOMAX-KUMARASWAMY DISTRIBUTION: ITS PROPERTIES AND APPLICATIONS

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dc.contributor.authorMABUR, Tajan Mashingil
dc.date.accessioned2019-04-15T09:23:41Z
dc.date.available2019-04-15T09:23:41Z
dc.date.issued2018-07
dc.descriptionA 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, FACULTYOF PHYSICAL SCIENCES AHMADU BELLO UNIVERSITY, ZARIA, NIGERIAen_US
dc.description.abstractThe Kumaraswamy probability distribuion has the same basic properties as the beta distribution. In this dissertation, we proposed a new extension of the Kumaraswamy distribution known as the Lomax-Kumaraswamy distribution, with two additional parameters using the Lomax generator proposed in earlier research. We derived the cumulative distribution function (cdf) and the probability density function (pdf). We also derived some basic statistical properties of the new distribution such as moments, moment generating function, quantile function, the characteristics function, reliability analysis, and the distribution of order statistics. Some plots of the distribution revealed that it is a positively skewed distribution. The parameters of the model have been estimated using maximum likelihood method. Two real data sets were used to test the performance of the new distribution, by comparing it with some generalizations of the Kumaraswamy distribution. The result shows that the proposed distribution provides better fits than the baseline distribution and some of the generalizations of Kumaraswamy distribution when the data sets are positively skewed.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/11533
dc.language.isoenen_US
dc.subjectSTUDY,en_US
dc.subjectLOMAX-KUMARASWAMY,en_US
dc.subjectDISTRIBUTION,en_US
dc.subjectITS PROPERTIES,en_US
dc.subjectAPPLICATIONS,en_US
dc.titleSTUDY ON LOMAX-KUMARASWAMY DISTRIBUTION: ITS PROPERTIES AND APPLICATIONSen_US
dc.typeThesisen_US
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