Let (X) be a random variable that has moment generating function (m(t)) that converges on some radius

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Let $X$ be a random variable that has moment generating function $m(t)$ that converges on some radius $|t| \leq b$ for some $b>0$. Using induction, prove that

\[\mu_{k}^{\prime}=\left.\frac{d^{k} m(t)}{d t^{k}}ight|_{t=0}\]

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Introduction To Statistical Limit Theory

ISBN: 9780367383138

1st Edition

Authors: Alan M. Polansky

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Question Posted: Mar 15, 2024 02:01 AM

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Let (X) be a random variable that has moment generating function (m(t)) that converges on some radius

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Introduction To Statistical Limit Theory

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