Question

Is this the Cumulative Distribution Function for a Split Normal Distribution?

score 860 · Answer 1 · 2026-04-11 16:22:44

860

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Is this the Cumulative Distribution Function for a Split Normal Distribution?

Published on 11 Apr 2026 - 16:22

score 38 · Answer 2 · 2026-04-02 06:04:43

38

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If $Y_1, \ldots, Y_n \sim N(\mu, 1)$ & $Z_1, \ldots, Z_n \sim N(\mu+\beta, 1)$ are indep., does $P(Y,Z|\mu) = P(Y|\mu)P(Z|\mu)$ or $P(YZ)=P(Y)P(Z)$?

Published on 02 Apr 2026 - 6:04

score 797 · Answer 3 · 2017-01-09 09:27:47

797

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Find independent $X$ and $Y$ that are not normally distributed s.t. $X+Y$ is normally distributed.

Published on 09 Jan 2017 - 9:27

score 87 · Answer 4 · 2026-04-01 23:50:50

87

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Computing $\mathbb{E}(e^{\phi (X_1+\dots +X_n)})$ for $X_i \sim \mathcal{N}(0,1)$

Published on 01 Apr 2026 - 23:50

score 120 · Answer 5 · 2026-03-25 22:10:58

120

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Does the square of a non central normal distribution follow a gamma distribution?

Published on 25 Mar 2026 - 22:10

score 72 · Answer 6 · 2017-01-10 21:40:26

72

Views

$X,Y\in N(0,1)$, show $\frac{(X-Y)}{X+Y}\in C(0,1) $ ($C(0,1)$ is the Cauchy distribution)

Published on 10 Jan 2017 - 21:40

score 2.4k · Answer 7 · 2026-04-11 12:09:27

2.4k

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Height : Normal distribution

Published on 11 Apr 2026 - 12:09

score 1.4k · Answer 8 · 2026-04-08 05:36:09

1.4k

Views

Stretch and move normal distribution while keeping the sum 1

Published on 08 Apr 2026 - 5:36

score 205 · Answer 9 · 2026-04-11 00:33:55

205

Views

KS normality test of Ornstein–Uhlenbeck process

Published on 11 Apr 2026 - 0:33

score 218 · Answer 10 · 2026-04-10 22:28:24

218

Views

Multinomial Distribution probability

Published on 10 Apr 2026 - 22:28

score 850 · Answer 11 · 2026-04-09 02:35:54

850

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How to find a distribution of the exponential of a negative lognormal distribution?

Published on 09 Apr 2026 - 2:35

score 202 · Answer 12 · 2026-04-10 08:05:11

202

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Convergence in distribution against standard normal distribution

Published on 10 Apr 2026 - 8:05

score 76 · Answer 13 · 2026-04-10 05:35:41

76

Views

Relation between sampling size and estimation error

Published on 10 Apr 2026 - 5:35

score 54 · Answer 14 · 2017-01-12 20:28:23

54

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about standard deviation and statistics of mean

Published on 12 Jan 2017 - 20:28

score 1.2k · Answer 15 · 2026-03-30 11:55:32

1.2k

Views

Finding bounds of random variable with Central Limit Theorem

Published on 30 Mar 2026 - 11:55

List Question

Is this the Cumulative Distribution Function for a Split Normal Distribution?

If $Y_1, \ldots, Y_n \sim N(\mu, 1)$ & $Z_1, \ldots, Z_n \sim N(\mu+\beta, 1)$ are indep., does $P(Y,Z|\mu) = P(Y|\mu)P(Z|\mu)$ or $P(YZ)=P(Y)P(Z)$?

Find independent $X$ and $Y$ that are not normally distributed s.t. $X+Y$ is normally distributed.

Computing $\mathbb{E}(e^{\phi (X_1+\dots +X_n)})$ for $X_i \sim \mathcal{N}(0,1)$

Does the square of a non central normal distribution follow a gamma distribution?

$X,Y\in N(0,1)$, show $\frac{(X-Y)}{X+Y}\in C(0,1) $ ($C(0,1)$ is the Cauchy distribution)

Height : Normal distribution

Stretch and move normal distribution while keeping the sum 1

KS normality test of Ornstein–Uhlenbeck process

Multinomial Distribution probability

How to find a distribution of the exponential of a negative lognormal distribution?

Convergence in distribution against standard normal distribution

Relation between sampling size and estimation error

about standard deviation and statistics of mean

Finding bounds of random variable with Central Limit Theorem

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