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Interchange of integral and differentiation

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#probability #expected-value #measure-theory
72
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Maximizing expected gains in game of box openings

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#probability #expected-value #expectation-maximization
68
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Computing $\mathbb E [Z_1 \mid Z_1 > Z_2]$ for $Z_1, Z_2$ iid gaussians

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#probability #expected-value #conditional-expectation
50
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Expectation and Variance of Infinite Sum

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#probability-theory #expected-value #variance
62
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Derivation: Average distance from point to circle

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#calculus #geometry #euclidean-geometry #expected-value
64
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Variance of random matrix?

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#probability #expected-value #variance #symmetric-matrices #stochastic-matrices
86
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Average Squared Distance to Any Point on Circle

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#calculus #geometry #euclidean-geometry #expected-value
58
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Finding the mean value of a Pareto Distribution.

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#probability #statistics #expected-value #density-function
139
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What does a bar "|" between Expectation subscripts mean?

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#probability-distributions #expected-value #conditional-probability #conditional-expectation #marginal-distribution
93
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Variation of the Polya Urn Model

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#probability #expected-value #polya-urn-model
78
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Finding the mean from a probability density function

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#calculus #integration #statistics #expected-value #density-function
88
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Prove the The Cauchy--Schwarz--Buniakowski inequality using the fact that $E[X]^2 \le E[X^2]$.

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#probability #probability-theory #expected-value #cauchy-schwarz-inequality
36
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proving the following$\sum_{x=R}^{x=\infty}(x-R)p(x)=E(x)-\sum_{x=0}^{x=R-1}P(x)$

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#probability #random-variables #expected-value
38
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Trying to intuitively understand "expected value" and "mean" of a variable K when K ranges from 0 to N

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#probability #expected-value #average #means
229
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What is the expectation of $X\sim \text{Exp}(\theta,1)$?

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#probability-distributions #expected-value

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