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Keywords
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generating function, lindley distribution, maximum likelihood, order statistic, T-X family
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Abstract
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We introduce a new class of continuous distributions called the generalized odd Lindley-G
family. Four special models of the new family are provided. Some explicit expressions for the quantile and
generating functions, ordinary and incomplete moments, order statistics and Rényi and Shannon entropies
are derived. The maximum likelihood method is used for estimating the model parameters. The flexibility
of the generated family is illustrated by means of two applications to real data sets.
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