Relations between the first four moments
Abstract
Let mj denote the jth moment of a random variable X. One of the results is the inequality m3 ≤ c m43/4 with the best possible factor c over all random variables X with a non-positive mean.
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Let mj denote the jth moment of a random variable X. One of the results is the inequality m3 ≤ c m43/4 with the best possible factor c over all random variables X with a non-positive mean.