A specific case of this theorem adds a factor of four-ninths and called the Vysochanski-Petunin theorem.
A specific case of this theorem adds a factor of four-ninths and called the Vysochanski-Petunin theorem. One result of this name states that n times the sum over all k of a sub k times b sub k is equal to or greater than the product of the sum of a_k times the sum of b sub k A simple way to prove this theorem involves applying Markov's inequality to the expected value of sigma-sub-k. This theorem is used to prove the law of large numbers when applied to a sample mean, and it is usually stated in terms of the value one minus one over k squared. For 10 points, name this theorem which gives the maximum number of values that are a certain number of standard deviations away from the mean.
A specific case of this theorem adds a factor of four-ninths and called the Vysochanski-Petunin theorem.
Chebyshev's inequality