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Classes of Ordinary Differential Equations Obtained for the Probability Functions of Kumaraswamy Inverse Rayleigh Distribution

Okagbue, H. I. and Adamu, M. O. and Anake, T. A. and Oguntunde, P.E. (2018) Classes of Ordinary Differential Equations Obtained for the Probability Functions of Kumaraswamy Inverse Rayleigh Distribution. In: International MultiConference of Engineers and Computer Scientists 2018 Vol I, March 14-16, 2018, Hong Kong.

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Abstract

In this paper, differential calculus was used to obtain the ordinary differential equations (ODE) of the probability density function (PDF), Quantile function (QF), survival function (SF), inverse survival function (ISF), hazard function (HF) and reversed hazard function (RHF) of Kumaraswamy inverse Rayleigh distribution. The parameters and support that define the distribution inevitably determine the nature, existence, uniqueness and solution of the ODEs. The method can be extended to other probability distributions, functions and can serve an alternative to estimation and approximation. Computer codes and programs can be used for the implementation.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Differentiation, quantile function, survival function, approximation, hazard function, Rayleigh.
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 07 May 2018 14:55
Last Modified: 07 May 2018 14:55
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/10748

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