Question

An interesting identity about the expectation $\Bbb E(X\mathbb{I}_{\{X<a\}}\mathbb{I}_{\{Y<b\}})$

score 123 · Answer 1 · 2021-11-15 22:05:00

123

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An interesting identity about the expectation $\Bbb E(X\mathbb{I}_{\{X<a\}}\mathbb{I}_{\{Y<b\}})$

Published on 15 Nov 2021 - 22:05

score 262 · Answer 2 · 2021-11-22 11:33:44

262

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Two-Dimensional Gaussian integral in complex coordinates.

Published on 22 Nov 2021 - 11:33

score 1.5k · Answer 3 · 2021-11-26 11:03:42

1.5k

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Gaussian integral with error function

Published on 26 Nov 2021 - 11:03

score 75 · Answer 4 · 2021-11-28 22:27:34

75

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How do I compute this integral on the set A?

Published on 28 Nov 2021 - 22:27

score 25 · Answer 5 · 2021-12-04 05:34:44

25

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Given $|\int f(\zeta)\,d\zeta-1|<\epsilon$, what can we say about $\int|f(\zeta)|\,d|\zeta|$?

Published on 04 Dec 2021 - 5:34

score 25 · Answer 6 · 2021-12-04 09:49:23

25

Views

Integrating the gaussian kernel on unbounded curves in $\Bbb C$

Published on 04 Dec 2021 - 9:49

score 13 · Answer 7 · 2026-02-28 01:15:24

13

Views

Relationship between $\gamma_n(A + B)$, $\gamma_k(A)$, and $\gamma_{n-k}(B)$, where $A \subseteq V$, $B \subseteq V^\perp$, and $\gamma_n := N(0,I_n)$

Published on 28 Feb 2026 - 1:15

score 768 · Answer 8 · 2026-03-25 19:11:59

768

Views

Derive the quadrature rule of the form $\int_{-1}^1 f(x) dx \approx w_0 f(\alpha) + w_1 f'(\beta)$

Published on 25 Mar 2026 - 19:11

score 47 · Answer 9 · 2021-12-15 17:07:57

47

Views

When evaluating a definite integral by integrating by parts is the following allowed?

Published on 15 Dec 2021 - 17:07

score 114 · Answer 10 · 2026-02-24 23:55:09

114

Views

How do you integrate the volume of 3 two-dimensional gaussian distributions with 4 hyperbole boundaries rotated 90 degrees at various intervals?

Published on 24 Feb 2026 - 23:55

score 123 · Answer 11 · 2021-12-21 18:37:46

123

Views

Is the following cartoon mathematically correct?

Published on 21 Dec 2021 - 18:37

score 69 · Answer 12 · 2026-02-23 08:21:46

69

Views

Limit of integral with Parseval

Published on 23 Feb 2026 - 8:21

score 81 · Answer 13 · 2021-12-25 06:20:02

81

Views

Solving Gaussian Integral

Published on 25 Dec 2021 - 6:20

score 332 · Answer 14 · 2021-12-25 09:42:14

332

Views

About gaussian distribution - calculation of variance (change of variables step)

Published on 25 Dec 2021 - 9:42

score 128 · Answer 15 · 2026-02-24 23:50:57

128

Views

Numerical integration of $\exp(-x^2)$ in a bounded region

Published on 24 Feb 2026 - 23:50

List Question

An interesting identity about the expectation $\Bbb E(X\mathbb{I}_{\{X<a\}}\mathbb{I}_{\{Y<b\}})$

Two-Dimensional Gaussian integral in complex coordinates.

Gaussian integral with error function

How do I compute this integral on the set A?

Given $|\int f(\zeta)\,d\zeta-1|<\epsilon$, what can we say about $\int|f(\zeta)|\,d|\zeta|$?

Integrating the gaussian kernel on unbounded curves in $\Bbb C$

Relationship between $\gamma_n(A + B)$, $\gamma_k(A)$, and $\gamma_{n-k}(B)$, where $A \subseteq V$, $B \subseteq V^\perp$, and $\gamma_n := N(0,I_n)$

Derive the quadrature rule of the form $\int_{-1}^1 f(x) dx \approx w_0 f(\alpha) + w_1 f'(\beta)$

When evaluating a definite integral by integrating by parts is the following allowed?

How do you integrate the volume of 3 two-dimensional gaussian distributions with 4 hyperbole boundaries rotated 90 degrees at various intervals?

Is the following cartoon mathematically correct?

Limit of integral with Parseval

Solving Gaussian Integral

About gaussian distribution - calculation of variance (change of variables step)

Numerical integration of $\exp(-x^2)$ in a bounded region

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