International Journal of Statistical Distributions and Applications

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On Quasi Lindley Distribution and Its Applications to Model Lifetime Data

Received: 03 March 2016    Accepted: 22 March 2016    Published: 14 April 2016
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Abstract

In this paper mathematical and statistical properties including moment generating function, mean deviations about mean and median, order statistics, Bonferroni and Lorenz curves, Renyi entropy and stress strength reliability of quasi Lindley distribution (QLD) introduced by Shanker and Mishra (2013 a) have been derived and discussed. The goodness of fit of QLD over exponential and Lindley distributions have been illustrated with five real lifetime data-sets and found that QLD provides better fit than exponential and Lindley distributions.

DOI 10.11648/j.ijsd.20160201.11
Published in International Journal of Statistical Distributions and Applications (Volume 2, Issue 1, March 2016)
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), 2024. Published by Science Publishing Group

Keywords

Mean Deviations, Order Statistics, Bonferroni and Lorenz Curves, Renyi Entropy Measure, Stress-Strength Reliability, Goodness of Fit

References
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Author Information
  • Department of Statistics, Eritrea Institute of Technology, Asmara, Eritrea

  • Department of Economics, College of Business and Economics, Halhale, Eritrea

  • Department of Mathematics, Dayalbagh Educational Institute, Dayalbagh, Agra, India

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  • APA Style

    Rama Shanker, Hagos Fesshaye, Shambhu Sharma. (2016). On Quasi Lindley Distribution and Its Applications to Model Lifetime Data. International Journal of Statistical Distributions and Applications, 2(1), 1-7. https://doi.org/10.11648/j.ijsd.20160201.11

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    ACS Style

    Rama Shanker; Hagos Fesshaye; Shambhu Sharma. On Quasi Lindley Distribution and Its Applications to Model Lifetime Data. Int. J. Stat. Distrib. Appl. 2016, 2(1), 1-7. doi: 10.11648/j.ijsd.20160201.11

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    AMA Style

    Rama Shanker, Hagos Fesshaye, Shambhu Sharma. On Quasi Lindley Distribution and Its Applications to Model Lifetime Data. Int J Stat Distrib Appl. 2016;2(1):1-7. doi: 10.11648/j.ijsd.20160201.11

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  • @article{10.11648/j.ijsd.20160201.11,
      author = {Rama Shanker and Hagos Fesshaye and Shambhu Sharma},
      title = {On Quasi Lindley Distribution and Its Applications to Model Lifetime Data},
      journal = {International Journal of Statistical Distributions and Applications},
      volume = {2},
      number = {1},
      pages = {1-7},
      doi = {10.11648/j.ijsd.20160201.11},
      url = {https://doi.org/10.11648/j.ijsd.20160201.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijsd.20160201.11},
      abstract = {In this paper mathematical and statistical properties including moment generating function, mean deviations about mean and median, order statistics, Bonferroni and Lorenz curves, Renyi entropy and stress strength reliability of quasi Lindley distribution (QLD) introduced by Shanker and Mishra (2013 a) have been derived and discussed. The goodness of fit of QLD over exponential and Lindley distributions have been illustrated with five real lifetime data-sets and found that QLD provides better fit than exponential and Lindley distributions.},
     year = {2016}
    }
    

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    AU  - Rama Shanker
    AU  - Hagos Fesshaye
    AU  - Shambhu Sharma
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    T2  - International Journal of Statistical Distributions and Applications
    JF  - International Journal of Statistical Distributions and Applications
    JO  - International Journal of Statistical Distributions and Applications
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    PB  - Science Publishing Group
    SN  - 2472-3509
    UR  - https://doi.org/10.11648/j.ijsd.20160201.11
    AB  - In this paper mathematical and statistical properties including moment generating function, mean deviations about mean and median, order statistics, Bonferroni and Lorenz curves, Renyi entropy and stress strength reliability of quasi Lindley distribution (QLD) introduced by Shanker and Mishra (2013 a) have been derived and discussed. The goodness of fit of QLD over exponential and Lindley distributions have been illustrated with five real lifetime data-sets and found that QLD provides better fit than exponential and Lindley distributions.
    VL  - 2
    IS  - 1
    ER  - 

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