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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 the Entropy of the Poisson Law and Related Quantities
Sharp Bounds Entropy Poisson Law Related Quantities
2010/3/9
One of the difficulties in calculating the capacity of
certain Poisson channels is that H(), the entropy of the Poisson
distribution with mean , is not available in a simple form. In
this work we...
Sharp Bounds for Green and Jumping Functions of Subordinate Killed Brownian Motions
Killed Brownian motion, subordinator, Green function, Dirichlet form, jumping function
2009/4/28
In this paper we obtain sharp bounds for the Green function and jumping function of a subordinate killed Brownian motion in a bounded $C^{1,1}$ domain, where the subordinating process is a subordinato...
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...