On Quasi Lindley Distribution and Its Applications to Model Lifetime Data

Rama Shanker; Hagos Fesshaye; Shambhu Sharma

doi:doi:10.11648/j.ijsd.20160201.11

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On Quasi Lindley Distribution and Its Applications to Model Lifetime Data

Rama Shanker, Hagos Fesshaye, Shambhu Sharma

Published in International Journal of Statistical Distributions and Applications (Volume 2, Issue 1)

Received: 3 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.

Published in	International Journal of Statistical Distributions and Applications (Volume 2, Issue 1)
DOI	10.11648/j.ijsd.20160201.11
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), 2016. 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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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://article.sciencepublishinggroup.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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TY  - JOUR
T1  - On Quasi Lindley Distribution and Its Applications to Model Lifetime Data
AU  - Rama Shanker
AU  - Hagos Fesshaye
AU  - Shambhu Sharma
Y1  - 2016/04/14
PY  - 2016
N1  - https://doi.org/10.11648/j.ijsd.20160201.11
DO  - 10.11648/j.ijsd.20160201.11
T2  - International Journal of Statistical Distributions and Applications
JF  - International Journal of Statistical Distributions and Applications
JO  - International Journal of Statistical Distributions and Applications
SP  - 1
EP  - 7
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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Author Information

Rama Shanker

Department of Statistics, Eritrea Institute of Technology, Asmara, Eritrea
Hagos Fesshaye

Department of Economics, College of Business and Economics, Halhale, Eritrea
Shambhu Sharma

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - On Quasi Lindley Distribution and Its Applications to Model Lifetime Data
AU  - Rama Shanker
AU  - Hagos Fesshaye
AU  - Shambhu Sharma
Y1  - 2016/04/14
PY  - 2016
N1  - https://doi.org/10.11648/j.ijsd.20160201.11
DO  - 10.11648/j.ijsd.20160201.11
T2  - International Journal of Statistical Distributions and Applications
JF  - International Journal of Statistical Distributions and Applications
JO  - International Journal of Statistical Distributions and Applications
SP  - 1
EP  - 7
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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