On a class of two-piece skew-normal distributions

Statistics

Volumn 39, Issue 6, 2005, Pages 537-553

  Kim, Hea Jung ^a  

^a Dongguk University   (South Korea)

Author keywords

Conditional distribution of bivariate normal; Conjugate prior; Further extensions; Skew normal distribution; Uni bimodal distribution

Indexed keywords

EID: 30944460141     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331880500366027     Document Type: Article

References (18)

1. Azzalini, A., 1985, A class of distributions which includes the normal ones. Scandinavian Journal of Statistics, 12, 171-178.
2. Henze, N., 1986, A probabilistic representation of the 'skew-normal' distribution. Scandinavian Journal of Statistics, 13, 271-275.
3. Kim, H.J., 2002, Binary Regression with a class of skewed t link models. Communication in Statistics, A31, 1863-1886.
4. Azzalini, A. and Dalla Valle, A., 1996, The multivariate skew-normal distribution. Biometrika, 83, 715-726.
5. Azzalini, A. and Capitanio, A., 1999, Statistical applications of the multivariate skew normal distribution. Journal of Royal Statistical. Society Series B, 61, 579-602.
6. Branco, M.D. and Dey, D.K., 2001, A general class of multivariate skew elliptical distributions. Journal of Multivariate Analysis, 79, 99-113.
7. Arnold, B.C., Castillo, A. and Sarabia, J.M., 2002, Conditionally specified multivariate skew distributions. Sankkyã A, 64, 206-226.
8. Ma, Y. and Genton, M.G., 2004, A flexible class of skew-symmetric distributions. Scandinavian Journal of Statistics, 31, 459-468.
9. Azzalini, A. and Capitanio, A., 2003, Distribution genereated by perturbation of symmetry with emphasis on a multivariate skew t distributions. Journal of Royal Statistical Society Series B, B12, 367-389.
10. Arnold, B.C., Beaver, R.J., Groeneveld, R.A. and Meeker, W.Q., 1993, The nontruncated marginal of a trucated bivariate normal distribution. Psychometrika, 58, 471-488.
11. Cohen, A.C., 1991, Truncated and Censored Samples: Theory and Applications (New York: Marcel Dekker).
12. Owen, D.B., 1956, Tables for computing bi-variate normal probabilities. Annals Mathematical Statistics, 27, 1075-1090.
13. Young, J.C. and Minder, Ch.E., 1974, Algorithm AS76: an integral useful in computing non-central t and bivariate normal probabilities. Applied Statistics, 23, 455-457.
14. Sowden, R.R. and Ashford, J.R., 1967, Computation of the bi-variate normal integral. Journal of Royal Statistical Society Series B, 18, 169-180.
15. Burridge, J., 1981, A note on maximum likelihood estimation for regression models using grouped data. Journal of Royal Statistical Society Series B, 43, 579-602.
16. Chen, M.-H. and Dey, D.K., 1998, Bayesian modeling of correlated binary responses via scale mixture of multivariate normal link functions. Sankhyã A, 60, 322-343.
17. Choi, S.T.B., 1995, Robust Bayesian analysisusing scale mixture of normal distributions. PhD thesis, Department of Mathematics, Imperial College, London.
18. Basu, S. and Mukhopadhyay, S., 2000, Binary response regression with normal scale mixture links. In: D.K. Dey, S.K. Ghosh and B.K. Mallick (Eds) Generalized Linear Models: A Bayesian Prospective (New York: Marcel Dekker).