New Probabilistic Inequalities from Monotone Likelihood Ratio Property

Details New Probabilistic Inequalities from Monotone Likelihood Ratio Property New Probabilistic Inequalities from Monotone Likelihood Ratio Property

2010-10-18

arxiv.org/abs/1010.3682v5

Mathematics

Probability

27 pages, 3 figures, added more applications

Scientific paper

In this paper, we propose a new approach for deriving probabilistic
inequalities. Our main idea is to exploit the information of underlying
distributions by virtue of the monotone likelihood ratio property and
Berry-Essen inequality. Unprecedentedly sharp bounds for the tail probabilities
of some common distributions are established.

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