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Marshall-Olkin Exponential Pareto Distribution with Application on Cancer Stem Cells

Received: 8 December 2016     Accepted: 27 December 2016     Published: 24 January 2017
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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.

Published in American Journal of Theoretical and Applied Statistics (Volume 6, Issue 5-1)

This article belongs to the Special Issue Statistical Distributions and Modeling in Applied Mathematics

DOI 10.11648/j.ajtas.s.2017060501.11
Page(s) 1-7
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Pareto Distribution-Cancer Stem Cells-Biological Sciences

References
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Cite This Article
  • APA Style

    Khairia El-Said El-Nadi, L. M. Fatehy, Nourhan Hamdy Ahmed. (2017). Marshall-Olkin Exponential Pareto Distribution with Application on Cancer Stem Cells. American Journal of Theoretical and Applied Statistics, 6(5-1), 1-7. https://doi.org/10.11648/j.ajtas.s.2017060501.11

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    ACS Style

    Khairia El-Said El-Nadi; L. M. Fatehy; Nourhan Hamdy Ahmed. Marshall-Olkin Exponential Pareto Distribution with Application on Cancer Stem Cells. Am. J. Theor. Appl. Stat. 2017, 6(5-1), 1-7. doi: 10.11648/j.ajtas.s.2017060501.11

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    AMA Style

    Khairia El-Said El-Nadi, L. M. Fatehy, Nourhan Hamdy Ahmed. Marshall-Olkin Exponential Pareto Distribution with Application on Cancer Stem Cells. Am J Theor Appl Stat. 2017;6(5-1):1-7. doi: 10.11648/j.ajtas.s.2017060501.11

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  • @article{10.11648/j.ajtas.s.2017060501.11,
      author = {Khairia El-Said El-Nadi and L. M. Fatehy and Nourhan Hamdy Ahmed},
      title = {Marshall-Olkin Exponential Pareto Distribution with Application on Cancer Stem Cells},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {6},
      number = {5-1},
      pages = {1-7},
      doi = {10.11648/j.ajtas.s.2017060501.11},
      url = {https://doi.org/10.11648/j.ajtas.s.2017060501.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.s.2017060501.11},
      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.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Marshall-Olkin Exponential Pareto Distribution with Application on Cancer Stem Cells
    AU  - Khairia El-Said El-Nadi
    AU  - L. M. Fatehy
    AU  - Nourhan Hamdy Ahmed
    Y1  - 2017/01/24
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ajtas.s.2017060501.11
    DO  - 10.11648/j.ajtas.s.2017060501.11
    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
    SP  - 1
    EP  - 7
    PB  - Science Publishing Group
    SN  - 2326-9006
    UR  - https://doi.org/10.11648/j.ajtas.s.2017060501.11
    AB  - 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.
    VL  - 6
    IS  - 5-1
    ER  - 

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Author Information
  • Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

  • Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

  • Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

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