“Kolmogorov inequality”的概念、定义、翻译、参考文献-科学参考

Kolmogorov inequality

Statistics

A stronger form of the Chebyshev inequality. Let X₁, X₂,…, X_n be independent random variables with finite expected values and variances. Define the partial sum S_k by $Kolmogorov inequality$ The inequality states that, for all positive values of ɛ, $Kolmogorov inequality$ where, for each k, μ_k and σ_k² are, respectively, the expected value and variance of S_k. See also Bernstein inequality; Hölder inequality; Markov inequality; Minkowski inequality.

单词	Kolmogorov inequality
释义	Kolmogorov inequality Statistics A stronger form of the Chebyshev inequality. Let X₁, X₂,…, X_n be independent random variables with finite expected values and variances. Define the partial sum S_k by $Kolmogorov inequality$ The inequality states that, for all positive values of ɛ, $Kolmogorov inequality$ where, for each k, μ_k and σ_k² are, respectively, the expected value and variance of S_k. See also Bernstein inequality; Hölder inequality; Markov inequality; Minkowski inequality.
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