On Properties and Applications of Lomax-Gompertz Distribution
A. Omale *
Department of Statistics, Ahmadu Bello University, Zaria, Nigeria.
O. E. Asiribo
Department of Statistics, Federal University of Agriculture, Abeokuta, Nigeria.
A. Yahaya
Department of Statistics, Ahmadu Bello University, Zaria, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This article introduces a new distribution called the Lomax-Gompertz distribution developed through a Lomax Generator proposed in an earlier study. Some statistical properties of the proposed distribution comprising moments, moment generating function, characteristics function, quantile function and the distribution of order statistics were derived. The plots of the probability density function revealed that it is positively skewed. The model parameters have been estimated using the method of maximum likelihood. The plot the of survival function indicates that the Lomax-Gompertz distribution could be used to model time or age-dependent data, where probability of survival is believed to be decreasing with time or age. The performance of the Lomax-Gompertz distribution has been compared to other generalizations of the Gompertz distribution using three real-life datasets used in earlier researches.
Keywords: Gompertz distribution, Lomax generator, moments, maximum likelihood estimation.