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Abstract
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A new family of distributions called the Topp-Leone generalized
odd log-logistic-G family is introduced and studied. We provide some math-
ematical properties of the new family including ordinary and incomplete mo-
ments, generating function and order statistics. We assess the performance of
the maximum likelihood estimators in terms of biases and mean squared errors
by means of two simulation studies. Finally, the usefulness of the family is il-
lustrated by means of two real data sets. The new model provides consistently
better fits than other competitive models for these data sets.
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