Abstract:Recently [LT; Theorem 3.1] showed an extension of Walker's inequality [W] based on $N=3$ random variables. In this note we prove that extension is just a particular three-dimensional instance of a general family of second order mixed moment inequalities based on Gram matrices of arbitrary random vectors. We also discuss some implications of these inequalities on Cramer-Rao lower bound for biased estimators.
From: Sergio Scarlatti [view email]
[v1]
Fri, 19 Jun 2026 17:39:05 UTC (6 KB)
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