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昆明理工大学理学院概率论与数理统计课件Chapter 5 The Law of Large Numbers and the Central Limit Theorem--Chebyshev’s Inequality
昆明理工大学理学院 概率论与数理统计 课件 Chapter 5 The Law of Large Numbers and the Central Limit Theorem Chebyshev’s Inequality
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2017/4/17
昆明理工大学理学院概率论与数理统计课件Chapter 5 The Law of Large Numbers and the Central Limit Theorem--Chebyshev’s Inequality.
A note on a maximal Bernstein inequality
Bernstein inequality dependent sums maximal inequality mixing partial sums
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2011/9/13
Abstract: We show somewhat unexpectedly that whenever a general Bernstein-type maximal inequality holds for partial sums of a sequence of random variables, a maximal form of the inequality is also val...
A simple variance inequality for U-statistics of a Markov chain with applications
U-statistics Markov chains Inequalities Limit theorems Law of large numbers
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2011/9/5
Abstract: We establish a simple variance inequality for U-statistics whose underlying sequence of random variables is an ergodic Markov Chain. The constants in this inequality are explicit and depend ...
A local maximal inequality under uniform entropy
local maximal inequality uniform entropy
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2011/1/4
We derive an upper bound for the mean of the supremum of the empirical process indexed by a class of functions that are known to have variance bounded by a small constant $\delta$. The bound is expres...
A family of statistical symmetric divergences based on Jensen's inequality
family of statistical symmetric divergences Jensen's inequality
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2010/12/16
We introduce a novel parametric family of symmetric information-theoretic distances based on Jensen's inequality on a convex generator that uni es Je reys divergence with Jensen-Shannon divergence for...