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  1. Chebyshev's versus Markov's inequality - Mathematics Stack Exchange

    Regarding Chebyshev's and Markov's inequality. What is the relation (if any) between them? Which one is more strict (and in which situation)? Is there an easy way to understand what they express (kind of …

  2. What is the intuition behind Chebyshev's Inequality in Measure Theory

    May 12, 2021 · Chebyshev's inequality says that the area in the red box is less than the area under the blue curve f(x) f (x). The only issue with this picture is that, depending on λ λ and f f, you might have …

  3. Chebyshev polynomials of the first kind orthogonality confusion.

    Dec 24, 2025 · the definition of the Chebyshev polynomials is a bit different, if you look at it again it could solve your issue.

  4. Using Chebyshev's inequality to obtain lower bounds

    I'm unaware of Chebyshev's inequality hence I can't do this question, can anyone help. Q) A company produces planks whose length is a random variable of mean 2.5m and standard deviation 0.1m. Use …

  5. Bivariate chebyshev polynomials - Mathematics Stack Exchange

    Aug 7, 2024 · Chebyshev polynomials (of the first kind) are easily defined by $$ T_n (\cos \theta) = \cos (n \theta) $$ Is there a piece of literature that tries to extend this to multiple variables? For example: ...

  6. How to find Chebyshev nodes - Mathematics Stack Exchange

    3 I want to use Chebyshev interpolation. But I am a little confused for finding Chebyshev nodes. I use the following figure to illustrate my problem. Consider I have a vector of numbers I depicted as a line …

  7. real analysis, chebyshev's inequality - Mathematics Stack Exchange

    real analysis, chebyshev's inequality Ask Question Asked 11 years, 9 months ago Modified 11 years, 9 months ago

  8. probability - Proof of a generalized Chebyshev's inequality ...

    Mar 7, 2023 · In the probability textbook that I'm reading through right now ("Knowing the Odds, an Introduction to Probability" by John B. Walsh), one of the textbook questions asks us to prove a …

  9. measure theory - Chebyshev's Inequality for conditional expectation ...

    Feb 15, 2018 · Chebyshev's Inequality for conditional expectation Ask Question Asked 7 years, 10 months ago Modified 7 years, 10 months ago

  10. One sided Chebyshev's inequality - Mathematics Stack Exchange

    Oct 1, 2016 · How to prove the one-sided Chebyshev's inequality which states that if X X has mean 0 0 and variance σ2 σ 2, then for any a> 0 a> 0