Restricting that the subject of this statement be unimodal yields a similar one named for Vysochanski and Petunin, which introduces an additional 4/9 factor. This statement can be proven by defining Y to be x minus mu quantity squared and a to be sigma-k quantity squared and then applying (*) Markov's inequality. When this statement is applied to a sample mean, it can be used to prove the law of large numbers. For 10 points, name this statement which, in one phrasing states that posits that all values in a probability distribution are a limited
Restricting that the subject of this statement be unimodal yields a similar one named for Vysochanski and Petunin, which introduces an additional 4/9 factor. This statement can be proven by defining Y to be x minus mu quantity squared and a to be sigma-k quantity squared and then applying (*) Markov's inequality. When this statement is applied to a sample mean, it can be used to prove the law of large numbers. For 10 points, name this statement which, in one phrasing states that posits that all values in a probability distribution are a limited distance from its mean.
Restricting that the subject of this statement be unimodal yields a similar one named for Vysochanski and Petunin, which introduces an additional 4/9 factor.
{Chebyshev’s} inequality [or equation or theorem]