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Calculating an expectation given the mgf

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#probability #expectation
293
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Mean of an exponential of indicator function

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#probability #expectation #means
115
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Iterated expectation (V-statistic)

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#probability-theory #random-variables #expectation #conditional-expectation
236
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Formula for expectation of Bivariate Data

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#expectation #uniform-distribution #bivariate-distributions
80
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Why does $y \int_0^\infty x^2 e^{-y|x|} \, dx=\frac 1 {y^2}\int_0^\infty x^2 e^{-x}\,dx$?

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#calculus #probability #integration #random-variables #expectation
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Convergence of Poisson random variables with divergent parameter

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#probability #probability-theory #random-variables #expectation #poisson-distribution
155
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Expected number of steps until termination given distances

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#probability #stochastic-processes #expectation #markov-chains
76
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expectation of the weighted sum of positive random variables

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#probability #probability-theory #measure-theory #expectation
53
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Please help me with the Expected-Value notation

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#probability #expectation
60
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Sequence of R.V.s $z_1, z_2, ...$ s.t. $P(z_i=1)=P(z_i=-1)=\frac 1 2$ converge almost surely?

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#probability #probability-distributions #convergence-divergence #random-variables #expectation
73
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Does $\max_{i\le n} \big|Z_i\big|=\frac 1 n \sum_{i\le n} \big|Z_i\big|$ as $n \to \infty$? (Convergence of R.V.s sequence $Z_1,Z_2,Z_3,...$)

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#probability #convergence-divergence #random-variables #expectation #law-of-large-numbers
102
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Show the the sums of independent random variables are independent using covariance

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#expectation #independence #covariance
41
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Random variables expectation

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#probability #random-variables #expectation #correlation #variance
93
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Expected number of trials

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#probability #expectation
103
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Condition for uncorrelated two random variables

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#probability #random-variables #expectation #independence

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