scholarly journals On the Families of Generalized Exponentiated Weibull Distributions: Properties and Applications

2021 ◽  
Vol 9 (3) ◽  
pp. 52-64
Author(s):  
Anyiam Kizito Ebere ◽  
Onyeagu Sydney Iheanyi ◽  
Njoku Modestus Onyekachi
Keyword(s):  
Weibull Distributions ◽  
Exponentiated Weibull

scholarly journals The Alpha Power Transformation Family: Properties and Applications

2019 ◽  
pp. 525-545 ◽  
Author(s):  
Mohamed E. Mead ◽  
Gauss M. Cordeiro ◽  
Ahmed Z. Afify ◽  
Hazem Al Mofleh
Keyword(s):  
Real Data ◽  
Likelihood Method ◽  
Model Parameters ◽  
Power Transformation ◽  
Data Sets ◽  
Alpha Power ◽  
Weibull Distributions ◽  
Exponentiated Weibull ◽  
Rate Functions ◽  
Modified Weibull

Mahdavi A. and Kundu D. (2017) introduced a family for generating univariate distributions called the alpha power transformation. They studied as a special case the properties of the alpha power transformed exponential distribution. We provide some mathematical properties of this distribution and define a four-parameter lifetime model called the alpha power exponentiated Weibull distribution. It generalizes some well-known lifetime models such as the exponentiated exponential, exponentiated Rayleigh, exponentiated Weibull and Weibull distributions. The importance of the new distribution comes from its ability to model monotone and non-monotone failure rate functions, which are quite common in reliability studies. We derive some basic properties of the proposed distribution including quantile and generating functions, moments and order statistics. The maximum likelihood method is used to estimate the model parameters. Simulation results investigate the performance of the estimates. We illustrate the importance of the proposed distribution over the McDonald Weibull, beta Weibull, modified Weibull, transmuted Weibull and exponentiated Weibull distributions by means of two real data sets.

scholarly journals A comparison of the generalized gamma and exponentiated Weibull distributions

2014 ◽  
Vol 33 (21) ◽  
pp. 3772-3780 ◽  
Author(s):  
Christopher Cox ◽  
Matthew Matheson
Keyword(s):  
Weibull Distributions ◽  
Generalized Gamma ◽  
Exponentiated Weibull

Comparative Analysis of Wind Speed Models Using Different Weibull Distributions

2019 ◽  
Vol 19 (1) ◽  
pp. 22-28
Author(s):  
Emrah Dokur ◽  
◽  
Salim Ceyhan ◽  
Mehmet Kurban ◽  
◽  
...  
Keyword(s):  
Comparative Analysis ◽  
Wind Speed ◽  
Weibull Distributions
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