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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, Volume 9, Issue 3, Pages 506–516 (Mi vspua30)

Probability of hitting a random vector in a polyhedral cone: Majorization aspect
M. I. Revyakov

References

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


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