Exact inequalities for sums of asymmetric random variables, with applications

Details Exact inequalities for sums of asymmetric random variables, with applications Exact inequalities for sums of asymmetric random variables, with applications

2006-02-24

arxiv.org/abs/math/0602556v2

Probability Theory and Related Fields, Volume 139, Numbers 3-4 / November, 2007, 605--635

Mathematics

Probability

41 pages; a minor inaccuracy in Remark 1.4 is corrected; a few references and short comments are added

Scientific paper

10.1007/s00440-007-0055-4

Let $\BS_1,...,\BS_n$ be independent identically distributed random variables each having the standardized Bernoulli distribution with parameter $p\in(0,1)$. Let $m_*(p):=(1+p+2p^2)/(2\sqrt{p-p^2}+4p^2)$ if $0

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