A stronger version of matrix convexity as applied to functions of Hermitian matrices.
Some inequalities related to the Stam inequality
Zamir showed in 1998 that the Stam classical inequality for the Fisher information (about a location parameter) for independent random variables , is a simple corollary of basic properties of the Fisher information (monotonicity, additivity and a reparametrization formula). The idea of his proof works for a special case of a general (not necessarily location) parameter. Stam type inequalities are obtained for the Fisher information in a multivariate observation depending on a univariate location...
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