Geodesic
A note on optimal probability lower bounds for centered random variables
Mark Veraar 1
1 Institut für Analysis Universität Karlsruhe (TH) D-76128 Karlsruhe, Germany
Colloquium Mathematicum, Tome 113 (2008) no. 2, pp. 231-240 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We obtain lower bounds for ${\mathbb P}(\xi\geq 0)$ and ${\mathbb P}({\xi> 0})$ under assumptions on the moments of a centered random variable $\xi$. The estimates obtained are shown to be optimal and improve results from the literature. They are then applied to obtain probability lower bounds for second order Rademacher chaos.
DOI : 10.4064/cm113-2-5
Keywords: obtain lower bounds mathbb geq mathbb under assumptions moments centered random variable estimates obtained shown optimal improve results literature applied obtain probability lower bounds second order rademacher chaos

Mark Veraar  1

1 Institut für Analysis Universität Karlsruhe (TH) D-76128 Karlsruhe, Germany 
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Mark Veraar. A note on optimal probability lower
bounds for centered random variables. Colloquium Mathematicum, Tome 113 (2008) no. 2, pp. 231-240. doi: 10.4064/cm113-2-5

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