References
- Arellano-Valle , R. B. , Gomez , H. W. , Quintana , F. A. ( 2004 ). A new class of skew-normal distribution . Commun. Statist. Theor. Meth. 33 : 1465 – 1480 .
- Arnold , B. C. , Beaver , R. J. ( 2002 ). Skew multivariate models related to hidden truncation and/or selective reporting (with discussions) . Test 11 : 7 – 54 .
- Azzalini , A. ( 1985 ). A class of distributions which includes the normal ones . Scand. J. Statist. 12 : 171 – 178 .
- Azzalini , A. ( 1986 ). Further results on a class of distributions which includes the normal ones . Statistica 46 : 199 – 208 .
- Azzalini , A. , Dalla Valle , A. ( 1996 ). The multivariate skew-normal distribution . Biometrika 83 : 715 – 726 .
- Balakrishnan , N. ( 1993 ). Multivariate normal distribution and multivariate order statistics induced by ordering linear combinations . Statist. Probab. Lett. 17 : 343 – 350 .
- Balakrishnan , N. ( 2002 ). Discussion on “Skew multivariate models related to hidden truncation and/or selective reporting” by Arnold, B. C., Beaver, R. J. Test 11 : 37 – 39 .
- Basu , A. P. , Ghosh , J. K. ( 1978 ). Identifiability of the multinormal and other distributions under competing risks model . J. Multivariate Anal. 8 : 413 – 429 .
- Behboodian , J. , Jamalizadeh , A. , Balakrishnan , N. ( 2006 ). A new class of skew–Cauchy distributions . Statist. Probab. Lett. 76 : 1488 – 1493 .
- Cain , M. ( 1994 ). The moment-generating function of the minimum of bivariate normal random variables . Amer. Statistician 48 : 124 – 125 .
- Cain , M. , Pan , E. ( 1995 ). Moments of the minimum of bivariate normal random variables . Mathemat. Scientist 20 : 119 – 122 .
- David , H. A. , Nagaraja , H. N. ( 2003 ). Order Statistics. , 3rd ed . Hoboken, New Jersey : John Wiley & Sons .
- Gupta , S. S. , Pillai , K. C. S. ( 1965 ). On linear functions of ordered correlated normal random variables . Biometrika 52 : 367 – 379 .
- Henze , N. A. ( 1986 ). A probabilistic representation of the skew-normal distribution . Scand. J. Statist. 13 : 271 – 275 .
- Huang , W.-J. , Chen , Y.-H . ( 2007 ). Generalized skew–Cauchy distribution . Statist. Probab. Lett. 77 : 1137 – 1147 .
- Kotz , S. , Balakrishnan , N. , Johnson , N. L. ( 2000 ). Continuous Multivariate Distributions . Vol. 1 . , 2nd ed . New York : John Wiley & Sons .
- Nagaraja , H. N. ( 1982 ). A note on linear functions of ordered correlated normal random variables . Biometrika 69 : 284 – 285 .