A STUDY ON THE PROPERTIES AND APPLICATIONS OF LOMAX-GOMPERTZ DISTRIBUTION
A STUDY ON THE PROPERTIES AND APPLICATIONS OF LOMAX-GOMPERTZ DISTRIBUTION
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Date
2018-05
Authors
OMALE, Aisha
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Abstract
The Gompertz distribution can be skewed to the right or to the left. This dissertation introduces a new positively skewed Gompertz model known as Lomax-Gompertz Distribution (LGD). This extension was possible with the aid of a Lomax generator.Some basic statistical propertiesof the new distribution such as moments, moment generating function, characteristics function, reliability analysis, quantile function and distribution of order statistics were derived. A plot of the probability density function (pdf)of the distribution revealed that it ispositively skewed. The model parameters have been estimated using the method of maximum likelihood estimation.The plot for the survival function indicates that the Lomax-GompertzDistribution could be used to model time or age-dependent variables, where probability of survival decreases with time or age.The performance of the Lomax-GompertzDistribution has been compared to the Generalized Gompertz, Transmuted Gompertz, Odd Generalized Exponential Gompertz and the Gompertz distributions by some applications to three real-life data sets. The results show that the proposed distribution outperformed the Generalized Gompertz, Transmuted Gompertz, Odd Generalized Exponential Gompertz and the Gompertz distributions in two of the datasets. The model should be used to modelpositively skewed datasets with various peaks where the sample size is large
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, FACULTYOF PHYSICAL SCIENCES AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA
Keywords
STUDY,, PROPERTIES,, APPLICATIONS,, LOMAX-GOMPERTZ,, DISTRIBUTION