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Abstract
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In this paper, we propose a new class of continuous distributions called the exponentiated generalized Topp
Leone-G family that extends the Topp Leone-G family introduced by Al-Shomrani et al. (2016). We derive
explicit expressions for certain mathematical properties of the new family such as; ordinary and incomplete
moments, generating functions, reliability analysis, Lorenz and Bonferroni curves, Rényi entropy, stress
strength model, moment of residual and reversed residual life, order statistics, extreme values and
characterizations. We discuss the maximum likelihood estimates and the observed information matrix for
the model parameters. Two real data sets are used to illustrate the flexibility of the new family.
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