Answer by Michael Hardy for Non-centered Gaussian moments
Suppose $Z\sim N(0,1)$ and $X=\mu+\sigma Z$, so that $X\sim N(\mu,\sigma^2)$.$$\mathbb E(X^n) = \mathbb E((\mu+\sigma Z)^n) = \sum_{k=0}^n \binom n k \mu^{n-k} \sigma^k \mathbb E(Z^k).$$If you know the...
View ArticleNon-centered Gaussian moments
I would like to find a (closed nice) expression for the non-centered Gaussian moments with mean $\mu$ and variance $\sigma$. In found something in...
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