Abstract
We introduce a new four-parameter distribution with constant, decreasing, increasing, bathtub and upside-down bathtub failure rate called the transmuted exponentiated generalized Weibull model.Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived.The estimation of the model parameters is performed by maximum likelihood.The flexibility of the new model is illustrated by means of three applications to real data.