Classes of Ordinary Differential Equations Obtained for the Probability Functions of Cauchy, Standard Cauchy and Log-Cauchy Distributions

Classes of Ordinary Differential Equations Obtained for the Probability Functions of Cauchy, Standard Cauchy and Log-Cauchy Distributions

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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 and hazard function of Cauchy, standard Cauchy and log-Cauchy distributions. The distributions are related by logarithmic transformation. The ODEs for the inverse survival function and reversed hazard...
 
Published at Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering and Computer Science 2017, 25-27 October, 2017, San Francisco, U.S.A.
Pages 198-204
Published in 2017
 
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HI Okagbue; AA Opanuga; EA Owoloko; MO Adamu
Okagbue Hilary Izuchukwu » Hilary Izuchukwu Okagbue Obtained his B.Tech, M.Sc and Ph.D. degrees in Industrial Mathematics and Statistics from the Federal University of Technology, Owerri, University of Lagos, Covenant University in 2007, 2010 and 2019 respectively. His research interests include Data Analysis, Mathematical Statistics, Mathematical Cryptography and analysis of patterns in number theory. view full profile
Okagbue Hilary Izuchukwu
 
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