Majorization and Gaussian correlation

Statistics and Probability Letters

Volumn 45, Issue 3, 1999, Pages 247-251

  Vitale, Richard A ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033570870     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(99)00064-4     Document Type: Article

References (11)

1. Baryshnikov, Yu.M., Vitale, R.A., 1994. Random simplices and Gaussian samples. Discrete Comput. Geom. 11 141-147.
2. Cohen A., Sackrowitz H.B. Unbiasedness of tests for homogeneity. Ann. Statist. 15:1987;805-816.
3. Eaton, M.L., 1987. Lectures on Topics in Probability Inequalities, Tract No. 35. CWI, Amsterdam.
4. Eggleston, H.G., 1969. Convexity. Cambridge University Press, Cambridge.
5. Hardy, G.H., Littlewood, J.E., Pólya, G., 1967. Inequalities, 2nd ed. Cambridge University Press, New York.
6. Marshall, A.W., Olkin, I., 1979. Inequalities: Theory of Majorization and its Applications. Academic Press, New York.
7. Muirhead R.F. Some methods applicable to identities and inequalities of symmetric algebraic equations of. n letters Proc. Edinburgh Math. Soc. 21:1903;144-157.
8. Perlman M.D., Olkin I. Unbiasedness of invariant tests for MANOVA and other multivariate problems. Ann. Statist. 8:1980;1326-1341.
9. Pitt L.D. A Gaussian correlation inequality for symmetric convex sets. Ann. Probab. 5:1977;470-474.
10. Schectman G., Schlumprecht Th., Zinn J. On the Gaussian measure of the intersection. Ann. Probab. 26:1998;346-357.
11. Szarek, S.J., Werner, E., 1997. Confidence regions for means of normal distributions and a non-symmetric correlation inequality for Gaussian measure. Report No. 1997-009, Mathematical Sciences Research Institute.