Question

How to prove that the CDF of the standard normal distribution is log-concave?

score 4.4k · Answer 1 · 2016-12-20 11:22:50

4.4k

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How to prove that the CDF of the standard normal distribution is log-concave?

Published on 20 Dec 2016 - 11:22

score 205 · Answer 2 · 2016-12-21 22:39:46

205

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Normalize generalised normal distribution

Published on 21 Dec 2016 - 22:39

score 84 · Answer 3 · 2026-04-11 18:32:55

84

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Correlation coefficient of normal random random variables

Published on 11 Apr 2026 - 18:32

score 490 · Answer 4 · 2016-12-28 18:33:35

490

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Find the pdf of a bivariate transformation using change of variables

Published on 28 Dec 2016 - 18:33

score 76 · Answer 5 · 2026-04-04 06:02:09

76

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Show that $P(X_2 \leq x \mid X_1 = x)\to0$ when $x\to-\infty$, where $(X_1,X_2)$ is normal with known conditional distribution

Published on 04 Apr 2026 - 6:02

score 94 · Answer 6 · 2026-04-08 20:21:31

94

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How much data needed to test my hypothesis

Published on 08 Apr 2026 - 20:21

score 2k · Answer 7 · 2026-04-11 08:05:00

2k

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problem of normal distribution

Published on 11 Apr 2026 - 8:05

score 880 · Answer 8 · 2016-12-29 18:22:26

880

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Approximation with a normal distribution

Published on 29 Dec 2016 - 18:22

score 114 · Answer 9 · 2016-12-30 20:18:37

114

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Deriving the approximate moments of normal ratio distribution

Published on 30 Dec 2016 - 20:18

score 70 · Answer 10 · 2026-03-31 15:15:49

70

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Determine constant in PDF

Published on 31 Mar 2026 - 15:15

score 19 · Answer 11 · 2026-03-30 01:46:13

19

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Under Gaussian Distribution, how do the two equations are the same?

Published on 30 Mar 2026 - 1:46

score 151 · Answer 12 · 2026-03-25 12:50:18

151

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Let $X$ be standard normal and $a>b>0$, prove that $\lim\limits_{\epsilon\to 0}\epsilon^2\log P(|\epsilon X -a|<b)=-\frac{(a-b)^2}{2}$

Published on 25 Mar 2026 - 12:50

score 97 · Answer 13 · 2026-04-04 06:04:40

97

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What is the expected value of a normally distributed random variable, conditional on its squared value being higher than some number?

Published on 04 Apr 2026 - 6:04

score 1.2k · Answer 14 · 2017-01-05 14:43:53

1.2k

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Tightness of normal distributions

Published on 05 Jan 2017 - 14:43

score 508 · Answer 15 · 2026-04-01 22:19:04

508

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Average of square of absolute value of inner product of two vectors of IID normal variables

Published on 01 Apr 2026 - 22:19

List Question

How to prove that the CDF of the standard normal distribution is log-concave?

Normalize generalised normal distribution

Correlation coefficient of normal random random variables

Find the pdf of a bivariate transformation using change of variables

Show that $P(X_2 \leq x \mid X_1 = x)\to0$ when $x\to-\infty$, where $(X_1,X_2)$ is normal with known conditional distribution

How much data needed to test my hypothesis

problem of normal distribution

Approximation with a normal distribution

Deriving the approximate moments of normal ratio distribution

Determine constant in PDF

Under Gaussian Distribution, how do the two equations are the same?

Let $X$ be standard normal and $a>b>0$, prove that $\lim\limits_{\epsilon\to 0}\epsilon^2\log P(|\epsilon X -a|<b)=-\frac{(a-b)^2}{2}$

What is the expected value of a normally distributed random variable, conditional on its squared value being higher than some number?

Tightness of normal distributions

Average of square of absolute value of inner product of two vectors of IID normal variables

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