Question

Strong law of large numbers for a scaled sequence of normally distributed random variables

score 171 · Answer 1 · 2026-03-26 03:21:45

171

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Strong law of large numbers for a scaled sequence of normally distributed random variables

Published on 26 Mar 2026 - 3:21

score 86 · Answer 2 · 2026-03-26 20:41:09

86

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If $X,Y$ are random variables and $Y\sim\mathcal N(x,\sigma^2)$ if $X=x$, are we able to conclude $Y-X\sim\mathcal N(0,\sigma^2)$?

Published on 26 Mar 2026 - 20:41

score 71 · Answer 3 · 2026-03-25 06:31:44

71

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Black Scholes Framework

Published on 25 Mar 2026 - 6:31

score 106 · Answer 4 · 2026-03-27 14:53:38

106

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If $X_1,X_2$ are indep. and $Y_1,Y_2$ are indep. with $(Y_1,Y_2)∼N((x_1,x_2),σ^2I)$ if $(X_1,X_2)=(x_1,x_2)$, are $X_1(Y_1-X_1),X_2(Y_2-X_2)$ indep.?

Published on 27 Mar 2026 - 14:53

score 380 · Answer 5 · 2026-03-26 15:16:31

380

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uniform distribution with interval (0,2) and sample 12

Published on 26 Mar 2026 - 15:16

score 235 · Answer 6 · 2026-03-26 16:10:18

235

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LRT of normal distribution with mean $\mu$ and variance $\sigma^2$. $H_0$ : $\mu$ = $\sigma^2$ vs $H_1$ : $\mu \neq \sigma^2$.

Published on 26 Mar 2026 - 16:10

score 41 · Answer 7 · 2026-03-28 04:32:59

41

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Confidence interval probability

Published on 28 Mar 2026 - 4:32

score 328 · Answer 8 · 2019-03-29 11:06:47

328

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Why we use t-distribution when sample size is small? $(n < 30)$

Published on 29 Mar 2019 - 11:06

score 42 · Answer 9 · 2026-03-26 02:44:32

42

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Correlation of complex random variables

Published on 26 Mar 2026 - 2:44

score 673 · Answer 10 · 2026-03-25 11:12:03

673

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Why inverse Mills ratio for normal distribution is 1-Lipschitz continuous?

Published on 25 Mar 2026 - 11:12

score 164 · Answer 11 · 2026-03-26 06:31:51

164

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Estimating an integral involving the n-th power of the cdf of the normal distribution.

Published on 26 Mar 2026 - 6:31

score 49 · Answer 12 · 2026-02-23 06:35:01

49

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How will p-values behave when fitting normal/Poisson to binomial?

Published on 23 Feb 2026 - 6:35

score 1.2k · Answer 13 · 2019-04-01 03:26:35

1.2k

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Normal Distribution formula for Percentile point function

Published on 01 Apr 2019 - 3:26

score 194 · Answer 14 · 2026-03-26 01:07:25

194

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Entropy relative to convolution with a Gaussian

Published on 26 Mar 2026 - 1:07

score 1k · Answer 15 · 2026-03-26 16:09:49

1k

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Standard Deviation of product of two Gaussian Distribution

Published on 26 Mar 2026 - 16:09

List Question

Strong law of large numbers for a scaled sequence of normally distributed random variables

If $X,Y$ are random variables and $Y\sim\mathcal N(x,\sigma^2)$ if $X=x$, are we able to conclude $Y-X\sim\mathcal N(0,\sigma^2)$?

Black Scholes Framework

If $X_1,X_2$ are indep. and $Y_1,Y_2$ are indep. with $(Y_1,Y_2)∼N((x_1,x_2),σ^2I)$ if $(X_1,X_2)=(x_1,x_2)$, are $X_1(Y_1-X_1),X_2(Y_2-X_2)$ indep.?

uniform distribution with interval (0,2) and sample 12

LRT of normal distribution with mean $\mu$ and variance $\sigma^2$. $H_0$ : $\mu$ = $\sigma^2$ vs $H_1$ : $\mu \neq \sigma^2$.

Confidence interval probability

Why we use t-distribution when sample size is small? $(n < 30)$

Correlation of complex random variables

Why inverse Mills ratio for normal distribution is 1-Lipschitz continuous?

Estimating an integral involving the n-th power of the cdf of the normal distribution.

How will p-values behave when fitting normal/Poisson to binomial?

Normal Distribution formula for Percentile point function

Entropy relative to convolution with a Gaussian

Standard Deviation of product of two Gaussian Distribution

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