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What is the intuition behind Chebyshev's Inequality in Measure …
Density of Chebyshev nodes - Mathematics Stack Exchange
probability - Chebyshev's versus Markov's inequality
What is the connection between Taylor series and Chebyshev …
Chebyshev's Theorem regarding real polynomials: Why do only …
probability theory - Intuition behind Chebyshev's inequality ...
Multiplication of polynomials in Chebyshev basis
Chebyshev's Inequality - Mathematics Stack Exchange
real analysis - Prove the orthogonality relation of Chebyshev ...
Chebyshev’s inequality: difference between median and mean

What is the intuition behind Chebyshev's Inequality in Measure …

May 12, 2021 · Chebyshev gives a quantitative answer: in rough terms, it says that an integrable function cannot be too ...

Density of Chebyshev nodes - Mathematics Stack Exchange

Dec 29, 2023 · ``Chebyshev points have density $\mu(x) = \frac{N}{\pi\sqrt{1-x^2}}$ ". I would like to understand where ...

probability - Chebyshev's versus Markov's inequality

Chebyshev's inequality is a "concentration bound". It states that a random variable with finite variance is concentrated around its expectation. The smaller the variance, the stronger the concentration. Both inequalities are used to claim that most of the time, random variables don't get "unexpected" values.

What is the connection between Taylor series and Chebyshev …

Mar 20, 2015 · Can somebody help me find some historical references for the connection between Chebyshev polynomials and the Taylor series for sine and cosine functions? We know that Chebyshev polynomials are used to represent multiple angle identities for sine and cosine functions. According to Vieta,

Chebyshev's Theorem regarding real polynomials: Why do only …

Oct 7, 2014 · Afterwards it is claimed that 'The reader can easily complete the analysis' to show that the Chebyshev polynomials are the only ones for which equality occurs in the above inequality. I haven't been able to figure this out.

probability theory - Intuition behind Chebyshev's inequality ...

Jun 30, 2015 · It's useful to view Chebyshev's inequality as more of an application of Markov's inequality which for a ...

Multiplication of polynomials in Chebyshev basis

Oct 22, 2014 · Yes, they boil down to sums of things that look just like convolution or correlation of the coefficients. See equations 2.6, 2.7, and 2.8 here for the exact formulas:

Chebyshev's Inequality - Mathematics Stack Exchange

Oct 23, 2013 · However, Chebyshev's inequality is definitely not the tightest bound out there. Since your RVs are independent, I'd take a look at Chernoff Bounds ( also )which are tighter. Note that the sum of independent Poisson RVs is also Poisson (in your case Poisson(30)), so it can be directly applied .

real analysis - Prove the orthogonality relation of Chebyshev ...

Mar 6, 2021 · The Chebyshev polynomials of the first kind are obtained from the recurrence relation $$\begin ...

Chebyshev’s inequality: difference between median and mean

Sep 1, 2019 · There's a different solution to the exercise as far as I recall, which also uses the Chebyshev Inequality. $\endgroup$ – WoolierThanThou Commented Sep 1, 2019 at 10:23