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Results tagged with moment-generating-function
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user 277864
A description of a probability distribution which is related to the Laplace transform. Use also for its logarithm, the cumulant generating function.
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Expected Value using Moment Generating Function [closed]
Let $M_Xt$ be the MGF of the random variable $X$. Define $S_X(t)=log_{10}M_xt$.
I am trying to show that $\frac{d}{dt}S_X(t)|_{t=0}=E[X]$
Here's what I did:
$$E[X]=\frac{d}{dt}M_X(t)|_{t=0}$$
$$\frac …
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