Mathematical Sciences: Faculty Publications
A New Class of Generalized Inverse Weibull Distribution with Applications
Document Type
Article
Publication Date
2014
Publication Title
Journal of Applied Mathematics & Bioinformatics
Abstract
The gamma-inverse Weibull (GIW) distribution which includes inverse Weibull, inverse exponential, gamma-inverse exponential, gammainverse Rayleigh, inverse Rayleigh, gamma-Fr´echet and Fr´echet distributions as special cases is proposed and studied. This new distribution might be useful for failure time data analysis. Some mathematical properties of the new distribution including moments, mean deviations, Bonferroni and Lorenz curves, Shannon and R´enyi entropies are presented. Maximum likelihood estimation technique is used to estimate the parameters and applications to real data sets are given to illustrate the usefulness of this new class of distributions.
Recommended Citation
Pararai, Mavis, Gayan Warahena-Liyanage, Broderick O. Oluyede.
2014.
"A New Class of Generalized Inverse Weibull Distribution with Applications."
Journal of Applied Mathematics & Bioinformatics, 4 (2): 17-35.
source: http://www.scienpress.com/Upload/JAMB/Vol%204_2_2.pdf
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/309
Copyright
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