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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
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
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
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 ...
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
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...