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PDF of volume of tetrahedron with random coordinates

probability-distributions simplex geometric-probability asked Mar 10, 2021 at 9:35

math.stackexchange.com

14 votes

Guessing number of colors of beads in an urn

probability combinatorics statistics recreational-mathematics multinomial-distribution asked Jul 13, 2021 at 19:18

math.stackexchange.com

12 votes

Expected tetrahedron volume from normal distribution

probability probability-distributions normal-distribution simplex geometric-probability asked Feb 13, 2020 at 20:10

math.stackexchange.com

11 votes

Solve $\int _{x=0}^{\infty }\int _{t=-\infty }^{\infty }\exp \left(\frac{-a t^2+i b t}{3 t^2+1}+i t x\right)\frac{x}{3 t^2+1}\mathrm{d}t\mathrm{d}x$

integration complex-integration residue-calculus asked Dec 25, 2021 at 13:46

math.stackexchange.com

11 votes

Distribution of $x_4(x_1-x_3)+x_5(x_2-x_1)$ with iid $x_i \sim N(0,1)$

distributions normal-distribution random-variable asked Dec 11, 2021 at 14:53

stats.stackexchange.com

10 votes

If $x$ is a normally distributed random variable, then what is the distribution of $x^4$ ? Does it follow a well-known distribution?

normal-distribution random-variable asked Jan 12 at 20:26

stats.stackexchange.com

10 votes

PDF of area of triangle with normally-distributed coordinates in any dimensions

probability normal-distribution triangles simplex geometric-probability asked Apr 2, 2021 at 17:56

math.stackexchange.com

9 votes

Это русская пословица? "The church is near, but the road is icy. The bar is far, but we will walk carefully."

пословицы asked Aug 27, 2020 at 0:11

russian.stackexchange.com

9 votes

Solve $\int_{x=0}^{\infty}\int_{t=-\infty}^{\infty}\frac{x}{at^2+1}\text{exp}\left(itx-\frac{b \sqrt{3a}t^2}{at^2+1}\right)\mathrm{d}t\ \mathrm{d}x$

definite-integrals improper-integrals asked Dec 19, 2021 at 19:18

math.stackexchange.com

8 votes

Expected triangle area of normal distributed vertices with colinear expectations

probability-distributions euclidean-geometry triangles geometric-probability asked Jan 23, 2020 at 18:50

math.stackexchange.com

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PDF of volume of tetrahedron with random coordinates

Guessing number of colors of beads in an urn

Expected tetrahedron volume from normal distribution

Solve $\int _{x=0}^{\infty }\int _{t=-\infty }^{\infty }\exp \left(\frac{-a t^2+i b t}{3 t^2+1}+i t x\right)\frac{x}{3 t^2+1}\mathrm{d}t\mathrm{d}x$

Distribution of $x_4(x_1-x_3)+x_5(x_2-x_1)$ with iid $x_i \sim N(0,1)$

If $x$ is a normally distributed random variable, then what is the distribution of $x^4$ ? Does it follow a well-known distribution?

PDF of area of triangle with normally-distributed coordinates in any dimensions

Это русская пословица? "The church is near, but the road is icy. The bar is far, but we will walk carefully."

Solve $\int_{x=0}^{\infty}\int_{t=-\infty}^{\infty}\frac{x}{at^2+1}\text{exp}\left(itx-\frac{b \sqrt{3a}t^2}{at^2+1}\right)\mathrm{d}t\ \mathrm{d}x$

Expected triangle area of normal distributed vertices with colinear expectations