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Explicitly representing a random variable such as $ X(\omega):=\frac{1}{\lambda} \ln \frac{1}{1-\omega}$, which is exponential

score 275 · Answer 1 · 2026-03-20 06:04:10

275

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Explicitly representing a random variable such as $ X(\omega):=\frac{1}{\lambda} \ln \frac{1}{1-\omega}$, which is exponential

Published on 20 Mar 2026 - 6:04

score 588 · Answer 2 · 2026-03-19 12:00:22

588

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Where can I find examples of Skorokhod representations?

Published on 19 Mar 2026 - 12:00

score 8.3k · Answer 3 · 2026-03-20 05:38:17

8.3k

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Quantile function for binomial distribution?

Published on 20 Mar 2026 - 5:38

score 35 · Answer 4 · 2026-03-22 12:54:09

35

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Asymptotic behaviour of the process $U_n=U_{n-1}+s(U_{n-1})X_n$, where $X_n$ is iid

Published on 22 Mar 2026 - 12:54

score 142 · Answer 5 · 2026-03-20 11:06:22

142

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Inequality involving quantiles

Published on 20 Mar 2026 - 11:06

score 519 · Answer 6 · 2026-03-20 08:00:15

519

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Uniform transformation of a quantile

Published on 20 Mar 2026 - 8:00

score 67 · Answer 7 · 2026-03-20 06:01:47

67

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Implications on the cdf of $\epsilon_1-\epsilon_2$ of conditions on the cdf's of $\epsilon_1, \epsilon_2$

Published on 20 Mar 2026 - 6:01

score 346 · Answer 8 · 2026-03-17 09:40:32

346

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Pushforward-change-of-variable with quantile function

Published on 17 Mar 2026 - 9:40

score 394 · Answer 9 · 2026-03-20 01:04:11

394

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Choosing an interval of the CDF to find each quartile

Published on 20 Mar 2026 - 1:04

score 187 · Answer 10 · 2026-03-22 08:53:07

187

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Prove that $\min_{\mu}\sum_{i=1}^n|y_i-\mu|=\text{median}\{y_1,\cdots,y_n\}$

Published on 22 Mar 2026 - 8:53

score 142 · Answer 11 · 2026-03-20 12:19:14

142

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How do you solve for the mean in a Normal Distribution?

Published on 20 Mar 2026 - 12:19

score 696 · Answer 12 · 2026-03-22 19:44:38

696

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How do you solve for lambda in an exponential distribution?

Published on 22 Mar 2026 - 19:44

score 351 · Answer 13 · 2026-03-17 01:23:05

351

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Quantiles - supremum and infimum

Published on 17 Mar 2026 - 1:23

score 85 · Answer 14 · 2026-03-23 03:29:01

85

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For cdf $F(x)$ ad empirical cdf $F_n(x)$, show that $|F^{-1}\big(F_n(\xi_p)\big)-\hat\xi_p|\overset{a.s}\to0$

Published on 23 Mar 2026 - 3:29

score 588 · Answer 15 · 2026-03-22 19:50:34

588

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Quantile-Quantile (QQ) Plots

Published on 22 Mar 2026 - 19:50

List Question

Explicitly representing a random variable such as $ X(\omega):=\frac{1}{\lambda} \ln \frac{1}{1-\omega}$, which is exponential

Where can I find examples of Skorokhod representations?

Quantile function for binomial distribution?

Asymptotic behaviour of the process $U_n=U_{n-1}+s(U_{n-1})X_n$, where $X_n$ is iid

Inequality involving quantiles

Uniform transformation of a quantile

Implications on the cdf of $\epsilon_1-\epsilon_2$ of conditions on the cdf's of $\epsilon_1, \epsilon_2$

Pushforward-change-of-variable with quantile function

Choosing an interval of the CDF to find each quartile

Prove that $\min_{\mu}\sum_{i=1}^n|y_i-\mu|=\text{median}\{y_1,\cdots,y_n\}$

How do you solve for the mean in a Normal Distribution?

How do you solve for lambda in an exponential distribution?

Quantiles - supremum and infimum

For cdf $F(x)$ ad empirical cdf $F_n(x)$, show that $|F^{-1}\big(F_n(\xi_p)\big)-\hat\xi_p|\overset{a.s}\to0$

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