Marshall-Olkin Exponential Pareto Distribution with Application on Cancer Stem Cells
American Journal of Theoretical and Applied Statistics
Volume 6, Issue 5-1, September 2017, Pages: 1-7
Received: Dec. 8, 2016; Accepted: Dec. 27, 2016; Published: Jan. 24, 2017
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Authors
Khairia El-Said El-Nadi, Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt
L. M. Fatehy, Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt
Nourhan Hamdy Ahmed, Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt
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Abstract
A Marshall–Olkin variant of exponential Pareto distribution is being introduced in this paper. Some of its statistical functions and numerical characteristics among others characteristics function, moment generalizing function, central moments of real order are derived in the computational series expansion form and various illustrative special cases are discussed. This density function is utilized to model a real data set of cancer stem cells patients. The new distribution provides a better fit than related distributions. The proposed distribution could find applications for instance in the physical and biological sciences, hydrology, medicine, meteorology and engineering.
Keywords
Pareto Distribution-Cancer Stem Cells-Biological Sciences
To cite this article
Khairia El-Said El-Nadi, L. M. Fatehy, Nourhan Hamdy Ahmed, Marshall-Olkin Exponential Pareto Distribution with Application on Cancer Stem Cells, American Journal of Theoretical and Applied Statistics. Special Issue: Statistical Distributions and Modeling in Applied Mathematics. Vol. 6, No. 5-1, 2017, pp. 1-7. doi: 10.11648/j.ajtas.s.2017060501.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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