Taylor expansions for the moments of functions of random variables
ID: taylor-expansions-for-the-moments-of-functions-of-random-variables
The Taylor expansion provides a way to approximate functions around a point, and it can be particularly useful in statistics when dealing with moments of functions of random variables. Let's consider a random variable \( X \) and a function \( g(X) \). The \( n \)-th moment of \( g(X) \) can be expressed in terms of the moments of \( X \) using Taylor expansion.
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