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There is a page named "Incomplete beta function" on Wikipedia
mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial...19 KB (4,002 words) - 05:25, 7 August 2024
\beta )} is the incomplete beta function and I x ( α , β ) {\displaystyle I_{x}(\alpha ,\beta )} is the regularized incomplete beta function. The beta...243 KB (40,380 words) - 08:10, 19 June 2024
In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems...43 KB (7,150 words) - 04:32, 29 May 2024- analogue. Digamma function, Polygamma function Incomplete beta function Incomplete gamma function K-function Multivariate gamma function: A generalization...10 KB (1,065 words) - 09:21, 10 August 2024
\beta )=I_{\frac {x}{1+x}}\left(\alpha ,\beta \right),} where I is the regularized incomplete beta function. The expected value, variance, and other details...12 KB (2,160 words) - 21:08, 27 April 2024
F(k)=1+{\frac {\mathrm {B} (p;k+1,0)}{\ln(1-p)}}} where B is the incomplete beta function. A Poisson compounded with Log(p)-distributed random variables...4 KB (373 words) - 17:12, 4 May 2023
Binomial distribution (redirect from Binomial probability function)equal to k. It can also be represented in terms of the regularized incomplete beta function, as follows: F ( k ; n , p ) = Pr ( X ≤ k ) = I 1 − p ( n − k ...51 KB (7,517 words) - 21:15, 2 August 2024- identities Hypergeometric series Incomplete beta function Incomplete gamma function Jordan–Pólya number Kempner function Lah number Lanczos approximation...2 KB (218 words) - 16:34, 12 March 2022
Gamma function B ( ) {\displaystyle B(\,)} is the Beta function I k ( ) {\displaystyle I_{k}(\,)} is the Regularized incomplete beta function Sometimes...95 KB (10,781 words) - 08:41, 28 July 2024
k + r − 1. The cumulative distribution function can be expressed in terms of the regularized incomplete beta function: F ( k ; r , p ) ≡ Pr ( X ≤ k ) = I...57 KB (8,530 words) - 13:34, 18 July 2024- s}},} where I α {\displaystyle I_{\alpha }} is the regularized incomplete beta function, I α ( a , b ) = B α ( a , b ) B ( a , b ) {\displaystyle I_{\alpha...23 KB (4,680 words) - 08:47, 23 December 2023
^{k}\operatorname {B} (1-k/\beta ,1+k/\beta )\\[5pt]&=\alpha ^{k}\,{k\pi /\beta \over \sin(k\pi /\beta )}\end{aligned}}} where B is the beta function. Expressions for...19 KB (2,053 words) - 05:49, 14 May 2024- s}}} , where I α {\displaystyle I_{\alpha }} is the regularized incomplete beta function, I α ( a , b ) = B α ( a , b ) B ( a , b ) {\displaystyle I_{\alpha...34 KB (6,445 words) - 06:12, 21 April 2024
j-invariant, a modular function, is a rational function in λ ( τ ) {\displaystyle \lambda (\tau )} . Incomplete beta functions Bx(p,q) are related by...40 KB (7,132 words) - 22:03, 11 July 2024- {\textstyle \beta _{2}} yields an optimal value function β 2 ( β 1 ) = ( X 2 T X 2 ) − 1 X 2 T ( y − X 1 β 1 ) {\textstyle \beta _{2}(\beta _{1})=\left(\mathbf...64 KB (8,534 words) - 19:57, 20 July 2024
Student's t-distribution (redirect from Student's t probability density function)green. The cumulative distribution function (CDF) can be written in terms of I, the regularized incomplete beta function. For t > 0 , F ( t ) = ∫ − ∞ t ...55 KB (6,330 words) - 19:55, 11 August 2024- variable, e. g. in a matrix or for summation Ix(a,b), the regularized incomplete beta function (of a variable x and parameters a,b) î, the unit vector along the...9 KB (1,078 words) - 12:52, 26 April 2024
{d_{1}}{2}},{\tfrac {d_{2}}{2}}\right),} where I is the regularized incomplete beta function. The expectation, variance, and other details about the F(d1, d2)...14 KB (2,382 words) - 19:29, 1 August 2024
original Yule distribution replaces the beta function with an incomplete beta function. The probability mass function of the generalized Yule–Simon(ρ, α)...10 KB (1,312 words) - 03:48, 11 June 2023- Chebyshev integral (category Gamma and related functions)dx=B(x;1+p,1+q),} where B ( x ; a , b ) {\displaystyle B(x;a,b)} is an incomplete beta function. Weisstein, Eric W. "Chebyshev Integral". MathWorld. v t e...411 bytes (61 words) - 22:25, 10 June 2024
- {\displaystyle \beta } (written α × β {\displaystyle \alpha \times \beta } ) is a vector function of α {\displaystyle \alpha } and β {\displaystyle \beta } . Its
- Constructed by a nerdy-sounding priesthood using esoteric terms such as beta, gamma, sigma and the like, these models tend to look impressive. Too often
- other functions built in: beta calculate the beta function betai calculate the incomplete beta function binomial calculate the binomial function corr calculate