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Recursions for the Moments of Some Discrete Distributions

Mon, 29 Apr 2019 19:02:09 GMT

You could say, "Moments maketh the distribution". While that's not quite true, it's pretty darn close. The moments of a probability distribution provide key information about the underlying random variable's behaviour, and we use these moments for a multitude of purposes. Before proceeding, let's be sure that we're on the same page here. Some background Suppose that we have a random variable, X, whose distribution function is F(x), where x is some value of X. The following quote comes...