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Find the moment generating function of the sum of exponential random variables $S=X_1+X_2+X_3+X_4$

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#probability #moment-generating-functions
3.6k
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Computing variance of compound Poisson process from the M.G.F.

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#probability #probability-theory #poisson-distribution #moment-generating-functions #poisson-process
40
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What's the distribution?

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#probability-distributions #moment-generating-functions
1.3k
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Find the moment generating function of $Y$

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#integration #statistics #probability-distributions #moment-generating-functions
750
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Show that the moment generating function of $ W$ is $M_W(t) = (qe^t+p)^n$

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#statistics #summation #random-variables #moment-generating-functions #binomial-distribution
53
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What is the distribution?

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#probability #moment-generating-functions
605
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Find a function of the independent random variables X, Y, and U that has the moment generating function $[M_{X}(t) +M_{Y}(t)]/2$.

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#probability #random-variables #moment-generating-functions
71
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Compute variance of a power Poisson process

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#probability #probability-theory #moment-generating-functions #poisson-process
356
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Show that $X+Y$ and $X/Y$ are independent.

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#expectation #moment-generating-functions
120
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How to compute the Moment Generating Function of R.V.'s $X_1 - X_2$

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#probability #transformation #moment-generating-functions
94
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Clarification on computing the Moment Generating Function of a Gamma-distribution

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#probability #transformation #moment-generating-functions
31
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Moment Generating Function of R.V.'s Y/X?

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#probability #laplace-transform #moment-generating-functions
106
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Rewrite $p$-th moment

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#probability #expectation #moment-generating-functions
152
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Moment Generating function

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#statistics #expectation #moment-generating-functions
415
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Digamma function in expectation

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#probability-distributions #moment-generating-functions #digamma-function

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