The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
The multivariate skew-normal distribution
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.
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Citations
Cites
Formulation and estimation of stochastic frontier production function models
Aigner, D., Lovell, C. A. K., & Schmidt, P. (1977) · Journal of Econometrics · doi:10.1016/0304-4076(77)90052-5 · Cited by 10,135
Measures of multivariate skewness and kurtosis with applications
MARDIA, K. V. (1970) · Biometrika · doi:10.1093/biomet/57.3.519 · Cited by 4,792
A class of distributions which includes the normal ones
Azzalini, A. (1985) · Padua Research Archive (University of Padova) · Cited by 2,547
Self-citationFurther results on a class of distributions which includes the normal ones
Azzalini, A. (2013) · Statistica · doi:10.6092/issn.1973-2201/711 · Cited by 517
Self-citationAn Introduction to Regression Graphics
Goldman, A. (1995) · Technometrics · doi:10.1080/00401706.1995.10484343 · Cited by 356
Bayes estimation subject to uncertainty about parameter constraints
O'HAGAN, A., & LEONARD, T. (1976) · Biometrika · doi:10.1093/biomet/63.1.201 · Cited by 339
Parametric Statistical Inference
(1981) · Elsevier eBooks · doi:10.1016/c2013-0-03459-7 · Cited by 269
The Nontruncated Marginal of a Truncated Bivariate Normal Distribution
Arnold, B. C., Beaver, R. J., Groeneveld, R. A., & Meeker, W. Q. (1993) · Psychometrika · doi:10.1007/bf02294652 · Cited by 195
Correlation Curves: Measures of Association as Functions of Covariate Values
Bjerve, S., & Doksum, K. A. (1993) · The Annals of Statistics · doi:10.1214/aos/1176349156 · Cited by 153
Robustness in Real Life: A Study of Clinical Laboratory Data
Hill, M., & Dixon, W. J. (1982) · Biometrics · doi:10.2307/2530452 · Cited by 125
Cited by
McLachlan, G., & Peel, D. (2000) · Wiley Series in Probability and Statistics · doi:10.1002/0471721182 · Cited by 10,991
The Skew-Normal and Related Families
Azzalini, A., & Capitanio, A. (2013) · Cambridge University Press eBooks · doi:10.1017/cbo9781139248891 · Cited by 710
Self-citationCrawford, J. R., & Garthwaite, P. H. (2006) · Cognitive Neuropsychology · doi:10.1080/02643290500538372 · Cited by 60
Metadata
- Authors
- Azzalini, A.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1996-12-01
- Volume
- 83
- Issue
- 4
- Pages
- 715-726
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2171050536
- Cited by
- 1,650
- References
- 11
- FWCI
- 3.56
- Type
- journal article
- Language
- en
- Open access
- closed
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- Azzalini, A. (1996). The multivariate skew-normal distribution. Biometrika. https://doi.org/10.1093/biomet/83.4.715
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
