I need to prove for a normal distribution with parameters N~(μ,σ^2) that the r-th central moments are as follows: r>2 odd => μr = 0 r even => σ^r.(r-1)(r-3)...3.1 I started by taking the integral of (x-μ)^rf(x) between -infinity and +infinity but am having troubles with terms that won't cancel and simplification, am I on the right track here and thanks in advance
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5Does this answer your question? Calculation of the n-th central moment of the normal distribution $\mathcal{N}(\mu,\sigma^2)$ – David May 04 '20 at 23:34
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1I think that this answer will help you out :) – David May 04 '20 at 23:38