A Study of Some Properties and Goodness-of-Fit of a Gompertz-Rayleigh Model

Main Article Content

Fadimatu Bawuro Mohammed
Kabiru Ahmed Manju
Umar Kabir Abdullahi
Makama Musa Sani
Samson Kuje

Abstract

The Rayleigh was obtained from the amplitude of sound resulting from many important sources by Rayleigh. It is continuous probability distribution with a wide range of applications such as in life testing experiments, reliability analysis, applied statistics and clinical studies. However, it is not flexible enough for modeling heavily skewed datasets as compared to compound distributions. In this paper, we introduce a new extension of the Rayleigh distribution by using a Gompertz-G family of distributions. This paper defines and studies a three-parameter distribution called “Gompertz-Rayleigh distribution”. Some properties of the proposed distribution are derived and discussed comprehensively in this paper and the three parameters are estimated using the method of maximum likelihood estimation. The goodness-of-fit of the proposed distribution is also evaluated by fitting it in comparison with some other existing distributions using a real life data.

Keywords:
Rayleigh distribution, Gompertz-Rayleigh distribution, properties, parameters, method of maximum likelihood estimation and goodness-of-fit.

Article Details

How to Cite
Mohammed, F. B., Manju, K. A., Abdullahi, U. K., Sani, M. M., & Kuje, S. (2020). A Study of Some Properties and Goodness-of-Fit of a Gompertz-Rayleigh Model. Asian Journal of Probability and Statistics, 9(2), 18-31. https://doi.org/10.9734/ajpas/2020/v9i230223
Section
Original Research Article

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