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Abstract
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We study general mathematical properties of a new class of continuous distributions
with three extra shape parameters called the exponentiated Marshal-Olkin family of
distributions. Further, we present some special models of the new class and investigate
the shapes and derive explicit expressions for the ordinary and incomplete moments,
quantile and generating functions and probability weighted moments. We discuss the
estimation of the model parameters by maximum likelihood and show empirically the
potentiality of the family by means of two applications to real data
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