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probability central limit theorem

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#probability #statistics #probability-distributions #normal-distribution #central-limit-theorem
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What is the relationship between a chi-square distribution and a normal distribution?

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#statistics #normal-distribution #chi-squared
86
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Does $\mathbb{E}[\max_{1\leq i,j \leq N}{|Y_i-Y_j|}] = 2\mathbb{E}[\max_{1\leq i,j \leq N} Y_i]$ where $Y_i \sim N(0,1)$?

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#probability #probability-distributions #normal-distribution #expected-value
121
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R-th central moment for a normal distribution with parameters N~(μ,σ^2)

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#statistics #probability-distributions #normal-distribution
276
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Expectation of exponential of normal random variable

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#probability #integration #normal-distribution
46
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Expected value of countable sum of i.i.d. standard normal random variables

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#lebesgue-integral #normal-distribution #stochastic-analysis #schauder-basis
243
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Multivariate normal distribution with one constant term

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#probability #probability-distributions #normal-distribution #covariance
56
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Behavior of normal distribution when close to infinity

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#probability-theory #probability-distributions #normal-distribution
46
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What is the linear regression model of this situation?

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#statistics #normal-distribution #statistical-inference #hypothesis-testing #linear-regression
217
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Joint probability of two linear functions of a Gaussian random vector being greater than 0

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#probability #probability-distributions #normal-distribution
34
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How do I prove that the integral from negative infinty to infinty of $e^{-.5x^2}$ is $\sqrt{2\pi}$?

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#normal-distribution
41
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Limit of Poisson random variables with parameters tending to infinity

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#probability-theory #probability-distributions #normal-distribution #weak-convergence #poisson-distribution
773
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Statistics of a Gaussian random variable with the floor function transformation

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#probability #probability-distributions #random-variables #normal-distribution #ceiling-and-floor-functions
42
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Write random variable vector in the form $\vec{X} = \mu +B\vec{Z}$

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#statistics #random-variables #normal-distribution
59
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Upper bound for density of standard Brownian Motion

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#integration #normal-distribution #brownian-motion #density-function

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