Okagbue, H. I. and Oguntunde, P.E. and Opanuga, A. A. and Owoloko, E. A. (2017) Classes of Ordinary Differential Equations Obtained for the Probability Functions of Exponential and Truncated Exponential Distributions. 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 reversed hazard function of the exponential and truncated exponential distributions. However, the ODE of the hazard function of the exponential distribution cannot be obtained because of the constant failure nature of the distribution. The ODE of the truncated exponential distribution was obtained. The stated necessary conditions required for the existence of the ODEs are consistent with the various parameters that defined the distributions. Solutions of these ODEs by using numerous available methods are new ways of understanding the nature of the probability functions that characterize the distribution
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Exponential distribution, differential calculus, probability density function, survival function, quantile function, reversed hazard 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: | 17 Nov 2017 08:11 |
| Last Modified: | 17 Nov 2017 08:11 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/9682 |
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