List questions from beta-function

Published on 20 Apr 2018 - 3:47

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What is the probability density function of the random variable Z?

Published on 25 Apr 2018 - 0:40

8.8k

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Beta Function: Prove $B(x,y) = B (x, y +1) + B (x+1 , y)$

Published on 27 Apr 2018 - 16:03

183

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Prove that $\sum_{k=0}^{n}(-1)^k{n\choose k}\frac{1}{(k+1)(k+2)}=\frac{1}{n+2}$

Published on 29 Apr 2018 - 18:25

126

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Mean of $1/X$ for $X\sim Beta( \alpha,\beta)$

Published on 22 Mar 2026 - 18:52

103

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How do I evaluate this integral using Beta functions?

Published on 08 May 2018 - 18:45

77

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Calculating the definite integral $\int_0^{+∞}\frac{\sinh^2(bx)}{x(e^{ax}+1)}\,\mathrm dx$

Published on 21 May 2018 - 12:32

231

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Sufficient statistics for beta-binomial distribution

Published on 29 May 2018 - 1:57

212

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Euler integral - beta function

Published on 21 Mar 2026 - 22:29

47

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Beta Question Problem

Published on 21 Mar 2026 - 19:11

622

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Showing that $\Gamma(x)\Gamma(y) = \Gamma(x+y)\beta(x,y)$ via change of variable

Published on 03 Jun 2018 - 21:12

788

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Probability that one beta random variable is greater than other beta random variables

Published on 11 Jun 2018 - 18:46

447

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Mean of Beta distribution without using Gamma function?

Published on 14 Jun 2018 - 16:59

126

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Calculate $\int_{0}^{\infty}{dx \over \sqrt[n]{1+x^n}} $

Published on 14 Jun 2018 - 17:33

50

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Show that $B(\alpha,\alpha)=2\int_0^{\frac{1}{2}}(\frac{1}{4}-(\frac{1}{2}-x)^{2})^{\alpha-1}dx$

Published on 15 Jun 2018 - 3:57

List Question

What went wrong with integrating $\frac {x^a}{1-x^b}$?

What is the probability density function of the random variable Z?

Beta Function: Prove $B(x,y) = B (x, y +1) + B (x+1 , y)$

Prove that $\sum_{k=0}^{n}(-1)^k{n\choose k}\frac{1}{(k+1)(k+2)}=\frac{1}{n+2}$

Mean of $1/X$ for $X\sim Beta( \alpha,\beta)$

How do I evaluate this integral using Beta functions?

Calculating the definite integral $\int_0^{+∞}\frac{\sinh^2(bx)}{x(e^{ax}+1)}\,\mathrm dx$

Sufficient statistics for beta-binomial distribution

Euler integral - beta function

Beta Question Problem

Showing that $\Gamma(x)\Gamma(y) = \Gamma(x+y)\beta(x,y)$ via change of variable

Probability that one beta random variable is greater than other beta random variables

Mean of Beta distribution without using Gamma function?

Calculate $\int_{0}^{\infty}{dx \over \sqrt[n]{1+x^n}} $

Show that $B(\alpha,\alpha)=2\int_0^{\frac{1}{2}}(\frac{1}{4}-(\frac{1}{2}-x)^{2})^{\alpha-1}dx$

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