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Journal article
A Generalized Class of Exponentiated Modi Ed Weibull Distribution With Applications
Journal of data science, Vol.14(4), pp.585-614
03/07/2021
Abstract
In this paper, a new class of five parameter gamma-exponentiated or generalized modified Weibull (GEMW) distribution which includes exponential, Rayleigh, Weibull, modified Weibull, exponentiated Weibull, exponentiated exponential, exponentiated modified Weibull, exponentiated modified exponential, gamma-exponentiated exponential, gammaexponentiated Rayleigh, gamma-modified Weibull, gamma-modified exponential, gamma-Weibull, gamma-Rayleigh and gamma-exponential distributions as special cases is proposed and studied. Mathematical properties of this new class of distributions including moments, mean deviations, Bonferroni and Lorenz curves, distribution of order statistics and Renyi entropy are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real data sets presented in order to illustrate the usefulness of this new class of distributions and its sub-models.
Details
- Title
- A Generalized Class of Exponentiated Modi Ed Weibull Distribution With Applications
- Publication Details
- Journal of data science, Vol.14(4), pp.585-614
- Resource Type
- Journal article
- Publisher
- Renmin University of China * School of Statistics; China
- Format
- link
- Identifiers
- 99380500397206600
- Academic Unit
- Hal Marcus College of Science and Engineering ; Mathematics and Statistics
- Language
- English