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arxiv: 1107.1754 · v4 · pith:RXJKXR7Hnew · submitted 2011-07-09 · 📊 stat.ME

Strengthened Chernoff-type variance bounds

classification 📊 stat.ME
keywords boundschernoff-typestrengthenedvarianceabsolutelyassociatedassumeclass
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Let $X$ be an absolutely continuous random variable from the integrated Pearson family and assume that $X$ has finite moments of any order. Using some properties of the associated orthonormal polynomial system, we provide a class of strengthened Chernoff-type variance bounds.

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