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Journal article
The Gamma-Weibull-G Family of Distributions with Applications
Österreichische Zeitschrift für Statistik, Vol.47(1), pp.45-76
01/30/2018
Web of Science ID: WOS:000428772900004
Abstract
Weibull distribution and its extended families has been widely studied in lifetime applications. Based on the Weibull-G family of distributions and the exponentiated Weibull distribution, we study in detail this new class of distributions, namely, Gamma-Weibull-G (GWG) family of distributions. Some special models in the new class are discussed. Statistical properties of the family of distributions, such as expansion of density function, hazard and reverse hazard functions, quantile function, moments, incomplete moments, generating functions, mean deviations, Bonferroni and Lorenz curves and order statistics are presented. We also present Renyi entropy, estimation of parameters by using method of maximum likelihood, asymptotic confidence intervals and applications using real data sets.
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- Title
- The Gamma-Weibull-G Family of Distributions with Applications
- Publication Details
- Österreichische Zeitschrift für Statistik, Vol.47(1), pp.45-76
- Resource Type
- Journal article
- Publisher
- Austrian Statistical Society
- Format
- link
- Copyright
- This work is licensed under a Creative Commons Attribution 3.0 Unported License.
- Identifiers
- WOS:000428772900004; 99380498997206600
- Academic Unit
- Hal Marcus College of Science and Engineering ; Mathematics and Statistics
- Language
- English