ODD GENERALIZED EXPONENTIAL-INVERSE-EXPONENTIAL DISTRIBUTION: IT’S PROPERTIES AND APPLICATIONS
ODD GENERALIZED EXPONENTIAL-INVERSE-EXPONENTIAL DISTRIBUTION: IT’S PROPERTIES AND APPLICATIONS
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Date
2017-11
Authors
ABBA, Badamasi
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Abstract
There remain many problems in real life where observed data do not follow any of the well-known probability models. To address this, there is then, a strong need to propose probability models to better capture the behaviour of some real-life phenomenon. In this dissertation, we propose a new lifetime distribution, called the Odd Generalized Exponential-Inverse-Exponential Distribution (OGE-IED) based on the odd generalized exponential generator proposed in earlier study. The statistical properties of the new distribution are studied along with its reliability functions and limiting behaviour. Also the distribution parameters were estimated using the method of maximum likelihood. We illustrate the flexibility of the proposed model by application to real data and concluded that the OGE-IED provides the best fit among the competing distributions. Finally, we recommend that this distribution can be used in modelling time-dependent events, systems, components or random variables
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
ODD GENERALIZED EXPONENTIAL-INVERSE-EXPONENTIAL DISTRIBUTION,, PROPERTIES,, APPLICATIONS