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Showing 2010 · math.PRShow all
3 papers · 2 filters
math.PR2010
An asymptotically Gaussian bound on the Rademacher tails
Iosif Pinelis
An explicit upper bound on the tail probabilities for the normalized Rademacher sums is given. This bound, which is best possible in a certain sense, is asymptotically equivalent t…
math.PR2010
Schur^2-concavity properties of Gaussian measures, with applications to hypotheses testing
Iosif Pinelis
The main results imply that the probability P(\ZZ\in A+þ) is Schur-concave/Schur-convex in (þ_1^2,\dots,þ_k^2) provided that the indicator function of a set A in \R^k is so, respec…
math.PR2010★ 6 cited
Exact lower bounds on the exponential moments of Winsorized and truncated random variables
Iosif Pinelis
Exact lower bounds on the exponential moments of min(y,X) and XI{X<y} are provided given the first two moments of a random variable X. These bounds are useful in work on large devi…