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The multivariate skew-normal distribution
Biometrika · 1996 · Vol. 83(4) · pp. 715–726
Adelchi Azzalini✉(University of Padua)
Abstract
The paper extends earlier work on the so-called skew-normal distribution, a family of distributions including the normal, but with an extra parameter to regulate skewness. The present work introduces a multivariate parametric family such that the marginal densities are scalar skew-normal, and studies its properties, with special emphasis on the bivariate case.
Statistical Distribution Estimation and ApplicationsLife Cycle Costing AnalysisSkew normal distributionSkewnessMathematicsSkewMultivariate statisticsMultivariate normal distributionBivariate analysisParametric statisticsScalar (mathematics)Statistics
Funding
- Division of Materials Research
Citations
1,659
FWCI
4.25
field-weighted impact
References
14
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95%
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References
Measures of multivariate skewness and kurtosis with applications
Biometrika · 1970 · 4,332 citations
Formulation and estimation of stochastic frontier production function models
Journal of Econometrics · 1977 · 10,019 citations
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