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Inference and Modeling with Log-concave Distributions
Log-concave Distributions Inference and Modeling
2015/8/20
Log-concave distributions are an attractive choice for modeling
and inference, for several reasons: The class of log-concave distributions contains most of the commonly used parametric distributions ...
Interpolating Thin-Shell and Sharp Large-Deviation Estimates For Isotropic Log-Concave Measures
Interpolating Thin-Shell Sharp Large-Deviation Estimates Isotropic Log-Concave Measures
2010/11/9
Given an isotropic random vector $X$ with log-concave density in Euclidean space $\Real^n$, we study the concentration properties of $|X|$. We show in particular that: \[ \P(|X| \geq (1+t) \sqrt{n}) ...