= Taylor expansions for the moments of functions of random variables
{wiki=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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