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American Journal of Applied Mathematics and Statistics. 2016, 4(3), 94-98
DOI: 10.12691/AJAMS-4-3-5
Original Research

Transmuted Laplace Distribution: Properties and Applications

Dina H. Abdel Hady1, and Rania, M. Shalaby2

1Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Tanta University

2The Higher Institute of Managerial Science, Culture and Science City, 6th of October

Pub. Date: July 11, 2016
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Cite this paper

Dina H. Abdel Hady and Rania, M. Shalaby. Transmuted Laplace Distribution: Properties and Applications. American Journal of Applied Mathematics and Statistics. 2016; 4(3):94-98. doi: 10.12691/AJAMS-4-3-5

Abstract

New parameters can be introduced to expand families of distributions for added flexibility or to construct covariate models and this could be done in various ways. In this article, we generalize the Laplace distribution using the quadratic rank transmutation map studied by Shaw et al. (2007) to develop a transmuted Laplace distribution (TLD). We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. To show that the TLD distribution can be a better model than one based on the LD distribution we use a real data set of number of million revolutions before failure for each of the 23 ball bearings in the life tests and The usefulness of the transmuted Laplace distribution for modeling reliability data is illustrated.

Keywords

Laplace distribution, maximum likelihood estimation, moments, order statistics, likelihood ratio test

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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