Question

True or false: For continuous random variable $X$, if $E(X)$ has a closed form, then $P(X<E(X))$ has a closed form.

score 80 · Answer 1 · 2023-02-23 10:17:43

80

Views

True or false: For continuous random variable $X$, if $E(X)$ has a closed form, then $P(X<E(X))$ has a closed form.

Published on 23 Feb 2023 - 10:17

score 55 · Answer 2 · 2023-02-26 20:00:11

55

Views

Continuous conditional probability on fixed given value

Published on 26 Feb 2023 - 20:00

score 140 · Answer 3 · 2023-03-05 16:25:12

140

Views

Derivation of expected value of sample variance

Published on 05 Mar 2023 - 16:25

score 152 · Answer 4 · 2023-03-14 20:22:33

152

Views

Is the Lambert W function the Newton flow of the exponential function?

Published on 14 Mar 2023 - 20:22

score 104 · Answer 5 · 2023-03-29 14:43:53

104

Views

Conditioning on a Continuous Variable with a Discrete Value

Published on 29 Mar 2023 - 14:43

score 109 · Answer 6 · 2023-03-31 19:18:08

109

Views

Should discrete and continuous time models give the same results?

Published on 31 Mar 2023 - 19:18

score 46 · Answer 7 · 2023-06-22 19:57:46

46

Views

What is the analogue of $P(A) = \sum_\sigma P(A , \Sigma = \sigma )$ for when $\Sigma$ is a continuous random variable?

Published on 22 Jun 2023 - 19:57

score 76 · Answer 8 · 2023-08-13 15:44:39

76

Views

The combined probability of a continuous variable that is also a parameter for a discrete random variable.

Published on 13 Aug 2023 - 15:44

score 113 · Answer 9 · 2023-09-26 01:04:21

113

Views

Simple algebra of integral

Published on 26 Sep 2023 - 1:04

score 33 · Answer 10 · 2023-10-29 16:16:20

33

Views

Finding value of m, where m is the bound of a pdf such that it gives the median value.

Published on 29 Oct 2023 - 16:16

score 36 · Answer 11 · 2023-12-31 21:08:40

36

Views

When is it appropriate to determine the expected value of a continuous random variable by symmetry when given a probability density function?

Published on 31 Dec 2023 - 21:08

score 95 · Answer 12 · 2024-01-11 01:07:03

95

Views

How to squeeze the logistic function obliquely?

Published on 11 Jan 2024 - 1:07

score 40 · Answer 13 · 2026-02-23 10:03:25

40

Views

Equvivalent definitions of mutual information of continuous random variables

Published on 23 Feb 2026 - 10:03

score 54 · Answer 14 · 2024-03-27 05:37:05

54

Views

Prove $\sin|x^2+y|$ is not continuously differentiable

Published on 27 Mar 2024 - 5:37

score 187 · Answer 15 · 2022-04-21 06:23:24

187

Views

Let $X ∼ \operatorname{Uniform}(−1,1)$ and $Y=X^2$. Find the $\operatorname{CDF}$ and $\operatorname{PDF}$ of $Y$.

Published on 21 Apr 2022 - 6:23

List Question

True or false: For continuous random variable $X$, if $E(X)$ has a closed form, then $P(X<E(X))$ has a closed form.

Continuous conditional probability on fixed given value

Derivation of expected value of sample variance

Is the Lambert W function the Newton flow of the exponential function?

Conditioning on a Continuous Variable with a Discrete Value

Should discrete and continuous time models give the same results?

What is the analogue of $P(A) = \sum_\sigma P(A , \Sigma = \sigma )$ for when $\Sigma$ is a continuous random variable?

The combined probability of a continuous variable that is also a parameter for a discrete random variable.

Simple algebra of integral

Finding value of m, where m is the bound of a pdf such that it gives the median value.

When is it appropriate to determine the expected value of a continuous random variable by symmetry when given a probability density function?

How to squeeze the logistic function obliquely?

Equvivalent definitions of mutual information of continuous random variables

Prove $\sin|x^2+y|$ is not continuously differentiable

Let $X ∼ \operatorname{Uniform}(−1,1)$ and $Y=X^2$. Find the $\operatorname{CDF}$ and $\operatorname{PDF}$ of $Y$.

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