Difference between revisions of "BetaI"

(added equation, changed status)
Line 18: Line 18:
 
* [[BetaFn]] : The complete beta function
 
* [[BetaFn]] : The complete beta function
 
* [[BetaIInv]] : The inverse of the beta function
 
* [[BetaIInv]] : The inverse of the beta function
 +
* [[BetaIaInv]] : The inverse of the beta function with respect to parameter «a»
 
* [[GammaI]] : the closely related incomplete gamma function
 
* [[GammaI]] : the closely related incomplete gamma function

Revision as of 22:12, 8 January 2013


BetaI(x,a,b)

The incomplete beta function.

The incomplete beta function returns the cumulative probability for a Beta(a,b) distribution at x, defined by:

[math]\displaystyle{ BetaI(x,a,b) = {1\over{BetaFn(a,b)}} \int_0^x x^{a-1} (1-x)^{b-1} dx }[/math]

Library

Advanced Math

See Also

  • Beta : The beta distribution
  • BetaFn : The complete beta function
  • BetaIInv : The inverse of the beta function
  • BetaIaInv : The inverse of the beta function with respect to parameter «a»
  • GammaI : the closely related incomplete gamma function
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