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Taking the average after randomly knocking out members

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#probability #random-variables #average #variance
69
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Auto Correlation of a sum of random variables

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#probability #random-variables #expectation
47
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How to prove or disprove $\mathbb P[X\in[\mathbb E[X]-a\sigma(X),\mathbb E[X]+a\sigma(X)]]\leq\frac{1}{a^2} $?

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#random-variables #standard-deviation #stochastic-approximation
1.2k
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Independence of random variables and events

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#probability #probability-theory #discrete-mathematics #random-variables #independence
812
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If $Y$ is Poisson with parameter $\lambda$ and $X \vert Y$ Is binomial with parameters $(y,p)$ find the distribution of $X$.

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#random-variables #conditional-expectation
789
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Probability that one beta random variable is greater than other beta random variables

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#probability #probability-theory #probability-distributions #random-variables #beta-function
36
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Distribution of sum of not quite independent normal random variables.

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#random-variables
123
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Almost sure convergence of series of independent stable random variables

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#probability-theory #convergence-divergence #random-variables
225
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covariance of gaussian random process

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#probability #random-variables #normal-distribution #random #covariance
4.9k
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How to calculate covariance of X and Y

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#probability #random-variables
38
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How to understand the expression $\int_{t\in\mathcal{T}}Y(t)dI\{t\ge T\}$

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#probability #probability-theory #statistics #measure-theory #random-variables
341
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Calculating the expected value and variance of a sum of two different distributions

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#random-variables #random-functions
2.3k
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What does it mean that a probability distribution has full support?

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#probability #measure-theory #probability-distributions #random-variables
73
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Computing $E[X|XY]$

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#probability-theory #random-variables #conditional-expectation
241
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Find the expected value of the largest number in the sample.

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#probability #random-variables #means

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