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The Balakrishnan skew-normal density. (English) Zbl 1309.60008
Summary: We consider a generalization of the Azzalini skew-normal distribution. We denote this distribution by \(\mathrm{SNB}_{n}(\lambda )\). Some properties of \(\mathrm{SNB}_{n}(\lambda )\) are studied. Its moment generating function is derived, and the bivariate case of \(\mathrm{SNB}_{n}(\lambda )\) is introduced. Finally, we illustrate a numerical example and we present an application for order statistics.

60E05 Probability distributions: general theory
62E15 Exact distribution theory in statistics
Full Text: DOI
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