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Classes of Ordinary Differential Equations Obtained for the Probability Functions of 3-Parameter Weibull Distribution

Okagbue, H. I. and Adamu, M. O. and Opanuga, A. A. and Oghonyon, J. G. (2017) Classes of Ordinary Differential Equations Obtained for the Probability Functions of 3-Parameter Weibull 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, hazard function and reversed hazard function of the 3-parameter Weibull distribution. 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 a new ways of understanding the nature of the probability functions that characterize the distribution.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: 3-parameter Weibull distribution,differential calculus, probability density function, survival function, quantile 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: 16 Nov 2017 07:38
Last Modified: 16 Nov 2017 07:38
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/9669

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