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The Topp Leone odd Lindley-G family of distributions : Properties and applications

Abstract We introduce a new class of continuous distributions called the Topp Leone odd Lindley-G family. Some mathematical properties of the new family such as; the raw and incomplete moments, moment generating function, stress strength model, Rényi entropy, probability weighted moments and order statistics are investigated. We discuss the maximum likelihood estimates and the observed information matrix for the model parameters. The potentiality of the new family is illustrated by means of three applications to real data sets.