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

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## Abstract

Kumaraswamy Kumaraswamy distribution was obtained by compounding two Kumaraswamy random variables. In this paper, homogenous ordinary differential equations (ODES) of different orders were obtained for the probability density function, quantile function, survival function and hazard function of Kumaraswamy Kumaraswamy distribution. This is possible since the aforementioned probability functions are differentiable. Differentiation and modified product rule were used to obtain the required ordinary differential equations, whose solutions are the respective probability functions. The different conditions necessary for the existence of the ODEs were obtained and it is almost in consistent with the support that defined the various probability functions considered. The parameters that defined each distribution greatly affect the nature of the ODEs obtained. This method provides new ways of classifying and approximating other probability distributions apart from Kumaraswamy Kumaraswamy distribution considered in this research.

Item Type: | Conference or Workshop Item (Paper) |
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Uncontrolled Keywords: | Differentiation, product rule, quantile function, survival function, approximation, hazard function. |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |

Depositing User: | Mrs Patricia Nwokealisi |

Date Deposited: | 07 May 2018 15:24 |

Last Modified: | 07 May 2018 15:24 |

URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/10750 |

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