EXTENSION OF BURR V DISTRIBUTION: ITS PROPERTIES AND APPLICATION TO REAL-LIFE DATA

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dc.contributor.authorALFA, SAIDU ALIYU
dc.date.accessioned2018-09-03T07:18:27Z
dc.date.available2018-09-03T07:18:27Z
dc.date.issued2017-06
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, FACULTY OF PHYSICAL SCIENCES AHMADU BELLO UNIVERSITY, ZARIA, NIGERIAen_US
dc.description.abstractMore than a decades ago, a new general family of continuous distribution known as beta-G Distribution was proposed. This new generator has been used to propose some distributions in recent years with simplified mathematical treatment. An extension of Burr V (BV) distribution was therefore proposed, using the logit of the beta random variable and some of its properties studied. The Probability Density Function (PDF) of the Beta Burr V (BBV) was defined and verified. Hazard Rate Function, Survival Function and Asymptotic Behaviour of the distribution were obtained, the distribution was also found to be bimodal. The method of maximum likelihood was proposed to estimate the parameters of the distribution. The performance of the new distribution was evaluated using a real-life data. The extended distribution was found to be superior and quite flexible when subjected to scrutiny with burr V, beta Dagum and Beta Power Exponential distributions by fitting it to two real empirical datasets, thus; it was found that it can serve as a good alternative distribution to model positive real data in many areas.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/10187
dc.language.isoenen_US
dc.subjectEXTENSION,en_US
dc.subjectBURR V DISTRIBUTION,en_US
dc.subjectPROPERTIES,en_US
dc.subjectAPPLICATION,en_US
dc.subjectREAL-LIFE DATAen_US
dc.titleEXTENSION OF BURR V DISTRIBUTION: ITS PROPERTIES AND APPLICATION TO REAL-LIFE DATAen_US
dc.typeThesisen_US
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