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Classes of Ordinary Differential Equations Obtained for the Probability Functions of Harris Extended Exponential Distribution

Okagbue, H. I. and Adamu, M. O. and Owoloko, E. A. and Suleiman, Esivue A. (2017) Classes of Ordinary Differential Equations Obtained for the Probability Functions of Harris Extended Exponential Distribution. In: World Congress on Engineering and Computer Science, October 25-27, 2017, San Francisco, USA.

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Abstract

In this paper, the differential calculus was used to obtain some classes of ordinary differential equations (ODE) for the probability density function, quantile function, survival function, inverse survival function and hazard function of the Harris extended exponential distribution. The case of reversed hazard function was excluded because of its complexity. The stated necessary conditions required for the existence of the ODEs are consistent with the various parameters that defined the distribution. Solutions of these ODEs by using numerous available methods are new ways of understanding the nature of the probability functions that characterize the distribution. The method can be extended to other probability distributions, functions and can serve an alternative to estimation and approximation.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Harris, exponential, differentiation, quantile function, survival function
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Hannah Akinwumi
Date Deposited: 20 Nov 2017 11:51
Last Modified: 20 Nov 2017 11:51
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/9699

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