|
|
|
|
References
|
|
| |
| 1. |
Sherman S., “A theorem on convex sets with applications.”, Ann. Math. Statist., 26 (1955), 763–767 |
| 2. |
Marshall A.W., Olkin I., Arnold B., Inequalities: Theory of Majorization and Its Applications, 2nd ed., Springer–Verlag, New York, 2011 |
| 3. |
Proschan F., “Peakedness of distributions of convex combinations.”, Ann. Math. Stat., 36 (1965), 1703–1706 |
| 4. |
Olkin I., Tong Y.L., “Peakedness in multivariate distributions”, Statistical Decision Theory and Related Topics, IV, v. 2, eds. Gupta S. S., Berger J. O., Springer-Verlag, New York, 1988, 373–383 |
| 5. |
An M.Y., Log-Concave Probability Distributions: Theory and Statistical Testing, Working Paper 95–03, Duke University Dept of Economics, 1995 |
| 6. |
Eaton M.L., Perlman M.D., “Reflection groups, generalized Schur functions and the geometry of majorization.”, Ann. Probab., 5 (1977), 829–860 |
| 7. |
Eaton M.L., “Concentration inequalities for Gauss - Markov estimators.”, J. Multivariate Anal., 25 (1988), 119–138 |
| 8. |
Revyakov M.I., “Schur-convex functions of the 2nd order on $R^n$”, Algebra i Analiz, 31:5 (2019), 184–205 (Russian) |