We study the gamma-exponentiated Weibull distribution which includes as special cases several models such as the exponential, Weibull, exponentiatedWeibull, gamma-exponentiated exponential and exponentiated exponential distributions. This new distribution might be useful for failure time data analysis. We demonstrate that its density function is an infinite linear combination of Weibull densiti...

The Weibull distribution is a very popular distribution. It is called after Waladdi Weibull, a Swedish physicist. He used it in 1939 to analyze the breaking strength of materials. Since then it has been widely used for modelling phenomena with monotone failure rates. It is not useful for modelling phenomena with non monotone failure rates. The Weibull distribution has been shown to be useful fo...

In recent years, the Weibull distribution has been commonly used and recommended to model the wind speed. Therefore, many estimators have been proposed to find the best method to estimate the parameters of the Weibull distribution. Particularly, the estimator based on regression procedures with the Weibull probability plot are often used because of its computational simplicity and graphical pre...

BACKGROUND The goals of our study are to determine the most appropriate model for alcohol consumption as an exposure for burden of disease, to analyze the effect of the chosen alcohol consumption distribution on the estimation of the alcohol Population- Attributable Fractions (PAFs), and to characterize the chosen alcohol consumption distribution by exploring if there is a global relationship w...

The best Weibull distribution methods for the assessment of wind energy potential at different altitudes in desired locations are statistically diagnosed in this study. Seven different methods, namely graphical method (GM), method of moments (MOM), standard deviation method (STDM), maximum likelihood method (MLM), power density method (PDM), modified maximum likelihood method (MMLM) and equival...