2021年5月12日 · 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 might have multiple boxes under the curve at different locations, instead of just one.

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 like drawing a triangle for the triangle inequality)? What is a typical application in probability theory?

2015年6月30日 · It would be better to rephrase the question in more specific terms, like: "How to compute the Fourier-Chebyshev expansion of $\sin (x)$ and $\cos (x)$ over $ [-1,1]$?" - and add your attempts. The link is quite irrelevant, you may assume we know how to approximate an exponential through Chebyshev polynomials.

2021年3月26日 · special-functions chebyshev-polynomials quadrature Share Cite asked Mar 26, 2021 at 12:05

2012年5月10日 · 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 Chebyshev's inequality to obtain a lower bound on the probability that the length of planks does not differ more than 0.5m from the mean length.

2016年10月1日 · One sided Chebyshev's inequality Ask Question Asked 8 years, 11 months ago Modified 3 years, 9 months ago

2019年9月1日 · Chebyshev’s inequality: difference between median and mean Ask Question Asked 6 years ago Modified 6 years ago

2017年4月3日 · Proof of the weak law of large numbers by Chebyshev's inequality Ask Question Asked 8 years, 4 months ago Modified 7 years, 7 months ago

2020年12月29日 · One that for Laguerre polynomials is asked at Derive Rodrigues’ formula for Laguerre polynomials , but that for Chebyshev Polynomials is nowhere to be found. The generating function for the Chebyshev polynomials is

2018年2月15日 · Chebyshev's Inequality for conditional expectation Ask Question Asked 7 years, 6 months ago Modified 7 years, 6 months ago