Question

Is Var[max{ a, min{X, b}}] <= Var[X] for a < b and X being normally distributed?

score 53 · Answer 1 · 2026-03-26 02:55:47

53

Views

Is Var[max{ a, min{X, b}}] <= Var[X] for a < b and X being normally distributed?

Published on 26 Mar 2026 - 2:55

score 57 · Answer 2 · 2026-03-25 06:03:39

57

Views

Covariance between $X_i$ and $Y=\sum_{k=-\infty}^{\infty} a_i X_i$

Published on 25 Mar 2026 - 6:03

score 649 · Answer 3 · 2018-05-19 10:10:23

649

Views

Expected value of $\max(\min(X,c),f)$ when X is a Gaussian random variable and c,f, constants

Published on 19 May 2018 - 10:10

score 115 · Answer 4 · 2018-05-19 21:25:00

115

Views

Showing that $\lim_{x \rightarrow \infty} - \frac{\log (2 \Phi(\alpha \sqrt{x}))}{x} = \frac{\alpha^2}{2}$.

Published on 19 May 2018 - 21:25

score 72 · Answer 5 · 2026-03-27 02:39:05

72

Views

Fundamental limit to accuracy

Published on 27 Mar 2026 - 2:39

score 132 · Answer 6 · 2018-05-21 03:10:44

132

Views

Find $X, Y$ such that $X+Y$ is standard normal

Published on 21 May 2018 - 3:10

score 47 · Answer 7 · 2026-03-25 12:49:53

47

Views

Distribution of $Y=\Pi_{u=1}^n e^{X_i}$, where $(X_i)_i$ are i. i. d. with MGF $M_X(t)=e^{\frac{t^2}{2}}$

Published on 25 Mar 2026 - 12:49

score 250 · Answer 8 · 2026-03-25 11:11:38

250

Views

Alternating series of normal random variables and moment generating functions

Published on 25 Mar 2026 - 11:11

score 93 · Answer 9 · 2026-03-25 06:05:20

93

Views

Determine $a$ so that $X + 2Y$ and $2X − Y$ become independent.

Published on 25 Mar 2026 - 6:05

score 94 · Answer 10 · 2026-03-25 03:02:27

94

Views

Fitting the ratio of skew normal distributions

Published on 25 Mar 2026 - 3:02

score 36 · Answer 11 · 2026-03-25 08:09:21

36

Views

Reproduce a 0-mean, unit-variance normal from weighted average of samples

Published on 25 Mar 2026 - 8:09

score 486 · Answer 12 · 2018-05-22 01:47:18

486

Views

Complementary CDF for log-normal distributed function

Published on 22 May 2018 - 1:47

score 398 · Answer 13 · 2018-05-22 06:06:56

398

Views

Distribution of the Square of the Minimum of Two Normal Variables

Published on 22 May 2018 - 6:06

score 318 · Answer 14 · 2018-05-24 05:18:51

318

Views

Is the joint PDF of two Normally Distributed variables a PDF?

Published on 24 May 2018 - 5:18

score 82 · Answer 15 · 2018-05-24 09:13:04

82

Views

Finding the power given the true mean and hypothesis mean

Published on 24 May 2018 - 9:13

List Question

Is Var[max{ a, min{X, b}}] <= Var[X] for a < b and X being normally distributed?

Covariance between $X_i$ and $Y=\sum_{k=-\infty}^{\infty} a_i X_i$

Expected value of $\max(\min(X,c),f)$ when X is a Gaussian random variable and c,f, constants

Showing that $\lim_{x \rightarrow \infty} - \frac{\log (2 \Phi(\alpha \sqrt{x}))}{x} = \frac{\alpha^2}{2}$.

Fundamental limit to accuracy

Find $X, Y$ such that $X+Y$ is standard normal

Distribution of $Y=\Pi_{u=1}^n e^{X_i}$, where $(X_i)_i$ are i. i. d. with MGF $M_X(t)=e^{\frac{t^2}{2}}$

Alternating series of normal random variables and moment generating functions

Determine $a$ so that $X + 2Y$ and $2X − Y$ become independent.

Fitting the ratio of skew normal distributions

Reproduce a 0-mean, unit-variance normal from weighted average of samples

Complementary CDF for log-normal distributed function

Distribution of the Square of the Minimum of Two Normal Variables

Is the joint PDF of two Normally Distributed variables a PDF?

Finding the power given the true mean and hypothesis mean

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