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Moment Generating function hard example!

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#random-variables #exponential-function #expectation #moment-generating-functions
1k
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Random variables and reference probability measure

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#probability-theory #measure-theory #expectation
844
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Power Series Expansion of Moment Generating Function

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#random-variables #power-series #expectation #gamma-function #moment-generating-functions
84
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Is knowing $E[X]$ and $V[X]$ enough to find $E\left[e^X\right]$?

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#probability #random-variables #expectation
200
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What is the expected number of distinct drink types a group of $k$ people will order if there are $n$ choices?

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#probability #markov-chains #expectation
160
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Monotone convergence implies $\mathbb{E}\sum X_n = \sum \mathbb{E}X_n$?

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#probability-theory #convergence-divergence #expectation #monotone-functions
31
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How would I find the expected interest rate $E[1+i]$?

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#probability #expectation
286
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Expected number of nodes on a subpath in a skip list

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#probability #statistics #expectation
498
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Expected number of steps for a random walk- robot

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#probability #markov-chains #expectation #random-walk
1.5k
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Prove $E((X+Y)^p)\leq 2^p (E(X^p)+E(Y^p))$ for nonnegative random variables $X,Y$ and $p\ge0$

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#probability-theory #measure-theory #expectation
472
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Bound on expectation of inner product of a Gaussian rv divided by product of norms

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#probability #expectation
877
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What does the rate of convergence in probability imply about the rate of convergence in the mean?

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#probability #convergence-divergence #expectation
3.2k
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Sum of two families of uniform integrable random variables

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#probability-theory #measure-theory #expectation
338
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random variables and their maximum expected value

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#probability #statistics #expectation
48
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Prove $\mathsf E^Y \mathsf E^Y [X] = \mathsf E^Y [X]$

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#statistics #expectation #conditional-expectation

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