38 citations · 121 across the 45 of their papers we have counts for
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math.PR2006★ 1 cited
Toward the best constant factor for the Rademacher-Gaussian tail comparison
Iosif Pinelis
Let S_n:=a_1\vp_1+...+a_n\vp_n, where \vp_1,...,\vp_n are independent Rademacher random variables (r.v.'s) and a_1,...,a_n are any real numbers such that a_1^2+...+a_n^2=1. Let Z b…
math.PR2006
On inequalities for sums of bounded random variables
Iosif Pinelis
Let be independent (not necessarily identically distributed) zero-mean random variables (r.v.'s) such that almost surely for all , and let stand…
math.PR2006★ 38 cited
Exact inequalities for sums of asymmetric random variables, with applications
Iosif Pinelis
Let $\BS_1,...,\BS_n$ be independent identically distributed random variables each having the standardized Bernoulli distribution with parameter . Let $m_*(p):=(1+p+2p^2…