Selection models under generalized symmetry settings

Annals of the Institute of Statistical Mathematics

Volumn 64, Issue 4, 2012, Pages 737-750

  Azzalini, Adelchi ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Central symmetry; Gamma distribution; Probability integral transform; Skew normal distribution; Skew symmetric distributions; Symmetric functions; Symmetry

Indexed keywords

CENTRAL SYMMETRY; GAMMA DISTRIBUTION; INTEGRAL TRANSFORM; SKEW-NORMAL DISTRIBUTION; SKEW-SYMMETRIC; SYMMETRIC FUNCTIONS;

CRYSTAL SYMMETRY; MATHEMATICAL TECHNIQUES; STATISTICS;

NORMAL DISTRIBUTION;

EID: 84862138112     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-011-0328-7     Document Type: Article

References (12)

1. R. B. Arellano-Valle M. D. Branco M. G. Genton 2006 A unified view on skewed distributions arising from selections Canadian Journal of Statistics 34 581 601 2347047 1121.60009 10.1002/cjs.5550340403
2. B.C. Arnold E. Castillo J.M. Sarabia 2002 Conditionally specified multivariate skewed distributions Sankhyā series A 64 206 226 1981754 1192.60039
3. A. Azzalini 2005 The skew-normal distribution and related multivariate families (with discussion) Scandinavian Journal of Statistics 32 159 188 2188669 1091.62046 10.1111/j.1467-9469.2005.00426.x (C/R 189-200) (Pubitemid 40747179)
4. Azzalini, A., Capitanio, A. (1999). Statistical applications of the multivariate skew normal distribution. Journal of the Royal Statistical Society, series B, 61, 579-602. Full version of the paper at arXiv.org:0911.2093.
5. Azzalini, A., Capitanio, A. (2003). Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t distribution. Journal of the Royal Statistical Society, series B, 65, 367-389. Full version of the paper at arXiv.org:0911.2342. (Pubitemid 36607794)
6. A. Azzalini A. Dalla Valle 1996 The multivariate skew-normal distribution Biometrika 83 715 726 1440039 0885.62062 10.1093/biomet/83.4.715
7. M.D. Branco D.K. Dey 2001 A general class of multivariate skew-elliptical distributions Journal of Multivariate Analysis 79 99 113 1867257 0992.62047 10.1006/jmva.2000.1960 (Pubitemid 33082674)
8. Genton, M. G., Ed. (2004). Skew-elliptical Distributions and Their Applications: a Journey Beyond Normality. Boca Raton: Chapman & Hall/CRC.
9. M.G. Genton N. Loperfido 2005 Generalized skew-elliptical distributions and their quadratic forms Annals of the Institute Statistical Mathematics 57 389 401 2160656 10.1007/BF02507031 (Pubitemid 41412267)
10. Kotz S., Balakrishnan N., Johnson N.L. (2000) Continuous Multivariate Distributions Volume 1: Models and Applications. (2nd ed). New York: J. Wiley & Sons.
11. Serfling R. (2006) Multivariate symmetry and asymmetry. In: Kotz S., Balakrishnan N., Read C.B., Vidakovic B. (eds) Encyclopedia of Statistical Sciences (2nd ed, Vol. 8). J. Wiley & Sons, New York, pp 5338-5345
12. J. Wang J. Boyer M.G. Genton 2004 A skew-symmetric representation of multivariate distributions Statistica Sinica 14 1259 1270 2126352 1060.62059 (Pubitemid 40131613)