List questions from beta-function

Published on 30 Dec 2019 - 14:28

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Why does the beta distribution become U shaped when $\alpha$ and $\beta$ <1?

Published on 01 Jan 2020 - 23:24

344

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Proving recurrence relation for the Beta function

Published on 02 Jan 2020 - 16:14

76

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Integral of $\int_0^2(1-z)^{m-1}e^{-\frac{\kappa}{\alpha}z^{\alpha}}dz$

Published on 05 Jan 2020 - 14:19

168

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(Continued) How to compute E[log(X)] when X follows a beta distribution?

Published on 08 Jan 2020 - 10:02

381

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Intuition of Beta and Gamma functions

Published on 08 Jan 2020 - 20:28

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Using Beta Gamma function, show that :$\int_0^{\frac {\pi}{6}} \cos^2 (6\theta).\sin^4 (3\theta) d\theta$

Published on 19 Jan 2020 - 11:52

120

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Integration of $(x(1-x))^n$

Published on 24 Jan 2020 - 2:08

60

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Find W has the beta distribution

Published on 27 Jan 2020 - 21:44

222

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Calculating $\int_0^\infty\frac{\ln^3x\ln(1+x)}{x(1+x)}\ dx$ using the Beta function

Published on 07 Feb 2020 - 18:33

191

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Integral related to the incomplete beta function

Published on 25 Mar 2026 - 9:34

141

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Quadruple integral from probability problem

Published on 13 Feb 2020 - 0:56

1.7k

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Express in gamma/beta functions $\int_{0}^{\pi/2}\tan^n x \ dx$

Published on 10 Mar 2020 - 15:59

134

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How can I compute this integral involving $\Gamma$-functions?

Published on 23 Feb 2026 - 13:35

33

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How to back-calculate the values of $\alpha$ and $\beta$ of beta function?

Published on 17 Mar 2020 - 14:03

List Question

Rewriting $B(n+1/2,l+1)$ using factorials of integers

Why does the beta distribution become U shaped when $\alpha$ and $\beta$ <1?

Proving recurrence relation for the Beta function

Integral of $\int_0^2(1-z)^{m-1}e^{-\frac{\kappa}{\alpha}z^{\alpha}}dz$

(Continued) How to compute E[log(X)] when X follows a beta distribution?

Intuition of Beta and Gamma functions

Using Beta Gamma function, show that :$\int_0^{\frac {\pi}{6}} \cos^2 (6\theta).\sin^4 (3\theta) d\theta$

Integration of $(x(1-x))^n$

Find W has the beta distribution

Calculating $\int_0^\infty\frac{\ln^3x\ln(1+x)}{x(1+x)}\ dx$ using the Beta function

Integral related to the incomplete beta function

Quadruple integral from probability problem

Express in gamma/beta functions $\int_{0}^{\pi/2}\tan^n x \ dx$

How can I compute this integral involving $\Gamma$-functions?

How to back-calculate the values of $\alpha$ and $\beta$ of beta function?

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