List questions from beta-function

Published on 22 Jun 2018 - 22:57

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Why does $\int_0^1 \frac{\ln(\ln(p))}{1+p^2}dp$ Converge?

Published on 29 Jun 2018 - 19:09

993

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Quick evaluation of the Gamma function?

Published on 29 Jun 2018 - 20:50

44

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explanation of beta random variable

Published on 29 Jul 2018 - 21:02

9.2k

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Beta distribution as a member of the exponential family

Published on 22 Mar 2026 - 9:31

68

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Finding an elementary evaluation of $B_{1/2}(a,1-a)$

Published on 17 Aug 2018 - 9:30

791

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Analytic continuation of the incomplete beta function

Published on 25 Mar 2026 - 2:58

191

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Series of binomial coefficient denominators

Published on 30 Aug 2018 - 10:56

1.7k

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Beta distribution with parameters $\alpha = \beta \to 0$ is Bernoulli distribution

Published on 05 Sep 2018 - 3:47

56

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Likelihood function with inequality

Published on 12 Sep 2018 - 19:45

531

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Sum of $1+\frac{1\cdot 3}{6}+\frac{1\cdot 3 \cdot 5}{6 \cdot 8}+\cdots \cdots$

Published on 18 Sep 2018 - 10:46

540

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Sum of series $\frac{ 4}{10}+\frac{4\cdot 7}{10\cdot 20}+\frac{4\cdot 7 \cdot 10}{10\cdot 20 \cdot 30}+\cdots \cdots$

Published on 19 Sep 2018 - 7:20

17.5k

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Solve the integral using beta functions : $\int_0^1 \frac{(1-x^4)^{3/4}}{(1+x^4)^2}\,dx$

Published on 24 Sep 2018 - 1:47

193

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prove that $\int^1 _0 \frac{x^{m-1}(1-x)^{n-1}dx}{(a+x)^{m+n}} = \frac{\beta(m,n)}{a^n(a+1)^m}$

Published on 02 Oct 2018 - 15:18

936

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Median of beta distribution for alpha = beta

Published on 04 Oct 2018 - 20:07

List Question

Simplifying incomplete beta function

Why does $\int_0^1 \frac{\ln(\ln(p))}{1+p^2}dp$ Converge?

Quick evaluation of the Gamma function?

explanation of beta random variable

Beta distribution as a member of the exponential family

Finding an elementary evaluation of $B_{1/2}(a,1-a)$

Analytic continuation of the incomplete beta function

Series of binomial coefficient denominators

Beta distribution with parameters $\alpha = \beta \to 0$ is Bernoulli distribution

Likelihood function with inequality

Sum of $1+\frac{1\cdot 3}{6}+\frac{1\cdot 3 \cdot 5}{6 \cdot 8}+\cdots \cdots$

Sum of series $\frac{ 4}{10}+\frac{4\cdot 7}{10\cdot 20}+\frac{4\cdot 7 \cdot 10}{10\cdot 20 \cdot 30}+\cdots \cdots$

Solve the integral using beta functions : $\int_0^1 \frac{(1-x^4)^{3/4}}{(1+x^4)^2}\,dx$

prove that $\int^1 _0 \frac{x^{m-1}(1-x)^{n-1}dx}{(a+x)^{m+n}} = \frac{\beta(m,n)}{a^n(a+1)^m}$

Median of beta distribution for alpha = beta

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