On Quasi Lindley Distribution and Its Applications to Model Lifetime Data
International Journal of Statistical Distributions and Applications
Volume 2, Issue 1, March 2016, Pages: 1-7
Received: Mar. 3, 2016; Accepted: Mar. 22, 2016; Published: Apr. 14, 2016
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Authors
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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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.
Keywords
Mean Deviations, Order Statistics, Bonferroni and Lorenz Curves, Renyi Entropy Measure, Stress-Strength Reliability, Goodness of Fit
To cite this article
Rama Shanker, Hagos Fesshaye, Shambhu Sharma, On Quasi Lindley Distribution and Its Applications to Model Lifetime Data, International Journal of Statistical Distributions and Applications. Vol. 2, No. 1, 2016, pp. 1-7. doi: 10.11648/j.ijsd.20160201.11
Copyright
Copyright © 2016 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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