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Abstract
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In this article, the Topp-Leone odd log-logistic Gumbel (TLOLL-Gumbel) family of distribution have been
studied. This family, contains the very flexible skewed density function. We study many aspects of the new model like
hazard rate function, asymptotics, useful expansions, moments, generating Function, R´enyi entropy and order statistics. We
discuss maximum likelihood estimation of the model parameters. Further, we study flexibility of the proposed family are
illustrated of two real data sets.
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