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Sharp bounds on the rate of convergence of the empirical covariance matrix
Sharp bounds rate of convergence empirical covariance matrix
2011/1/17
Let X1, . . . ,XN ∈ Rn be independent centered random vectors with log-concave distribution and with the identity as covariance matrix.
Sharp Bounds on Quasiconvex Moments of Generalized Order Statistics
Generalized Order Statistics Quasiconvex Moments Moriguti Inequality Steffensen Inequality
2008/6/26
Sharp lower and upper bounds for quasiconvex moments of generalized order statistics are proven by the use of rearranged Moriguti's inequality. Even in the second moment case, the method yields improv...