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The Generalized Odd Generalized Exponential Family of Distributions: Properties, Characterizations and Application

The Generalized Odd Generalized Exponential Family of Distributions: Properties, Characterizations and Application

We introduce a new class of distributions called the generalized odd generalized exponential family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, quantile and generating functions, R𝑒́nyi, Shannon and q-entropies, order statistics and probability weighted moments are derived. We also propose bivariate generalizations. We …