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k-Nearest nodes: Average distance between connected nodes when search radius is non-integer

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#probability #discrete-mathematics #expectation
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Analysis of “Tiny Dice Dungeon” (I)

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#probability #expectation #dice
131
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Show $E[h(X)] = \int_0^{\infty} h'(t)P[X>t]dt$ and the first two moments

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#expectation #stochastic-integrals #moment-generating-functions
142
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Expectation of maximum

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#probability #expectation
516
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Moment-generating function of a generalised normal random variable

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#probability-distributions #random-variables #expectation #moment-generating-functions
3k
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Expectation: E(X-Y) and Variance: Var(X-Y) in statistics

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#probability #statistics #expectation #covariance
70
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probability, expectation, variance

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#statistics #random-variables #expectation #covariance
244
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"fractional" expectation of zero-mean normal distribution

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#normal-distribution #expectation
239
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Scaled integrated Brownian motion has limit

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#probability-theory #stochastic-processes #brownian-motion #expectation
1k
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Expectations and variance with rolling a dice 10 times

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#probability #statistics #summation #expectation #dice
153
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$X,Y\sim U(0,1)$ are independent, $W=\max (X,Y)$.

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#probability #probability-distributions #expectation #uniform-distribution
571
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How are $Var(X)$ and $Var(X^2)$ both positive?

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#probability #expectation
104
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Integration with respect to conditional measure?

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#probability #integration #measure-theory #markov-chains #expectation
217
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Why does this hold for the mean hitting time?

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#probability #sequences-and-series #stochastic-processes #markov-chains #expectation
147
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Power Series Simplification

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#power-series #expectation

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