The Gamma Modified Weibull Distribution

The Weibull distribution has been highlighted in recent decades for its wide use in important applied areas, Murthy (2004). The modified Weibull was proposed as a more flexible alternative for modeling data, Lai et al. (2003). Zografos and Balakrishnan (2009) pionnered a new class of distributions called the gamma-G with the advantage of having only one parameter to transform an arbitrary distribution. This simple fact allows us to explore a large number of skewed and non-skewed behaviors. In this paper, we present the main properties of the gamma modified Weibull distribution. We provide the moments, quantile function and other important measures. In addition, an application to a real data set demonstrates the usefulness of the new model.