Difference between revisions of "GammaIInv"
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| − | {{ | + | = GammaIInv(Y ,A'',B'') = |
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| + | Returns the incomplete gamma function, defined as: | ||
| + | :<math>GammaI(X,A,B) = {1\over{\gamma(A)}} \int_0^{x/B} e^{-t} t^{A-1} dt</math> | ||
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| + | ''A'' is the shape parameter, ''B'' is an optional scale factor (default ''B=1''). Note that some textbooks use <math>\lambda = 1/A</math>as the scale factor. The incomplete gamma function is defined for <math>X\geq 0</math>. | ||
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| + | The incomplete gamma function returns the cumulative area from zero to ''X'' under the [[Gamma]] distribution. | ||
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| + | The incomplete gamma function is useful in a number of mathematical and statistical contexts. | ||
| + | |||
| + | = Library = | ||
| + | |||
| + | Advanced Math | ||
Revision as of 01:16, 17 February 2010
GammaIInv(Y ,A,B)
Returns the incomplete gamma function, defined as:
- [math]\displaystyle{ GammaI(X,A,B) = {1\over{\gamma(A)}} \int_0^{x/B} e^{-t} t^{A-1} dt }[/math]
A is the shape parameter, B is an optional scale factor (default B=1). Note that some textbooks use [math]\displaystyle{ \lambda = 1/A }[/math]as the scale factor. The incomplete gamma function is defined for [math]\displaystyle{ X\geq 0 }[/math].
The incomplete gamma function returns the cumulative area from zero to X under the Gamma distribution.
The incomplete gamma function is useful in a number of mathematical and statistical contexts.
Library
Advanced Math
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