Difference between revisions of "BetaI"
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[[Category:Doc Status C]] <!-- For Lumina use, do not change --> | [[Category:Doc Status C]] <!-- For Lumina use, do not change --> | ||
| − | = BetaI(x,a'',b'') = | + | == BetaI(x, a'', b'') == |
| − | |||
The incomplete beta function. | The incomplete beta function. | ||
| − | The incomplete beta function returns the cumulative probability for a [[Beta]](a,b) distribution at | + | The incomplete beta function returns the cumulative probability for a [[Beta]](a, b) distribution at «x», defined by: |
:<math>BetaI(x,a,b) = {1\over{BetaFn(a,b)}} \int_0^x x^{a-1} (1-x)^{b-1} dx</math> | :<math>BetaI(x,a,b) = {1\over{BetaFn(a,b)}} \int_0^x x^{a-1} (1-x)^{b-1} dx</math> | ||
| − | = Library = | + | == Library == |
| − | |||
Advanced Math | Advanced Math | ||
| − | = See Also = | + | == See Also == |
| − | |||
* [[Beta]] : The beta distribution | * [[Beta]] : The beta distribution | ||
* [[BetaFn]] : The complete beta function | * [[BetaFn]] : The complete beta function | ||
Revision as of 23:09, 15 January 2016
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
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