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

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 …

Dec 8, 2018 · The height of a person is a random variable with variance $\\leq 5$ square inches. According to Mr. Chebyshev, how many people do we need to sample to ensure that the sample …

Jun 30, 2015 · Is there any intuition behind Chebyshev's inequality or is that only pure mathematics? What strikes me is that any random variable (whatever distribution it has) applies to that.

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 …

I was looking at a post Proof of Chebyshev's association inequality. It says we could let X′ X be another random variable such that X X and X′ X have the same distribution but are independent.

Mar 7, 2023 · 1 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 …

May 2, 2014 · I want to use chebyshev nodes for interpolation using lagrange formula. My grid is two dimensional and i do not know how to determine the nodes of chebyshev in a 2D grid point?

May 26, 2021 · And I know the Chebyshev interpolant has the good behavior. My question is if the Chebyshev interpolant is the best uniform approximation in some special cases? What the …

Aug 9, 2022 · The points x~k x k 's are called Chebyshev–Lobatto points, Chebyshev extreme points, or Chebyshev points of the second kind. See e.g. Lloyd N. Trefethen, Approximation Theory and …