STUDY ON INFERENCES AND APPLICATIONS OF ODD GENERALIZED EXPONENTIAL-RAYLEIGH DISTRIBUTION
STUDY ON INFERENCES AND APPLICATIONS OF ODD GENERALIZED EXPONENTIAL-RAYLEIGH DISTRIBUTION
| dc.contributor.author | UMAR, NURA | |
| dc.date.accessioned | 2018-09-03T10:18:07Z | |
| dc.date.available | 2018-09-03T10:18:07Z | |
| dc.date.issued | 2017-07 | |
| dc.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 | en_US |
| dc.description.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. | en_US |
| dc.identifier.uri | http://hdl.handle.net/123456789/10206 | |
| dc.language.iso | en | en_US |
| dc.subject | STUDY, | en_US |
| dc.subject | INFERENCES, | en_US |
| dc.subject | APPLICATIONS, | en_US |
| dc.subject | ODD GENERALIZED, | en_US |
| dc.title | STUDY ON INFERENCES AND APPLICATIONS OF ODD GENERALIZED EXPONENTIAL-RAYLEIGH DISTRIBUTION | en_US |
| dc.type | Thesis | en_US |