Difference between revisions of "Manuals/calci/GAMMAINV"

Revision as of 23:30, 5 December 2013

GAMMAINV(prob,alpha,beta)

$prob$ is the probability value associated with gamma distribution
$alpha(\alpha )$ & $beta(\beta )$ are the values of the shape and rate parameters

Description

This function gives the inverse value of Cumulative Gamma Probability Distribution.
This distribution is the Continuous Probability Distribution on the positive real line and it is of the reciprocal of a variable distributed according to the gamma distribution with two parameters $\alpha$ & Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \beta} .
It is used in Bayesian statistics.
In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle GAMMAINV(prob,alpha,beta)} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle prob} is the probability value associated with Gamma Distribution,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle alpha} is called shape parameter and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle beta} is the rate parameter of the distribution.
If Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle GAMMADIST(x,alpha,beta,TRUE)=prob} , then Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle GAMMAINV(prob,alpha,beta)= x} .
GAMMAINV use the iterating method to find the value of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} .
Suppose the iteration has not converged after 100 searches, then the function gives the error result.
This function will give the error result when

1.Any one of the arguments are non-numeric
2.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle alpha \le 0 }
 or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle beta \le 0 }

3.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle prob < 0}
 or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle  prob > 1 }

Examples

=GAMMAINV(0.65189,2,5) = 11.1335534510
=GAMMAINV(0.006867292,5,7) = 8.155481331
=GAMMAINV(0.1543869,9,3) = 18.0467153645
=GAMMAINV(1,9,3) = 82.51739521528073
=GAMMAINV(1.1,9,3) = NAN, because Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle prob>1 }

References

Gamma Distribution

@@ Line 6: / Line 6: @@
 *This  distribution is the Continuous Probability Distribution on the positive real line and it is of the reciprocal of a variable distributed according to the gamma distribution with two parameters <math>\alpha</math> & <math>\beta</math>.
 *It is used in Bayesian statistics.
-*In <math>GAMMAINV(prob,\alpha,\beta)</math> , <math>prob</math> is the probability value associated with Gamma Distribution,<math>\alpha</math> is called shape parameter and <math>beta</math> is the rate parameter of the distribution.
+*In <math>GAMMAINV(prob,alpha,beta)</math> , <math>prob</math> is the probability value associated with Gamma Distribution,<math>alpha</math> is called shape parameter and <math>beta</math> is the rate parameter of the distribution.
-*If <math>GAMMADIST(x,\alpha,\beta,TRUE)=prob</math>, then <math>GAMMAINV(prob,\alpha,\beta)= x</math>.
+*If <math>GAMMADIST(x,alpha,beta,TRUE)=prob</math>, then <math>GAMMAINV(prob,alpha,beta)= x</math>.
 *GAMMAINV use the iterating method to find the value of <math>x</math>.
 *Suppose the iteration has not converged after 100 searches, then the function gives the error result.
 *This function will give the error result when
 .Any one of the arguments are non-numeric
-.<math>\alpha \le 0 </math> or <math>\beta \le 0 </math>
+.<math>alpha \le 0 </math> or <math>beta \le 0 </math>
 .<math>prob < 0</math> or <math> prob > 1 </math>

Difference between revisions of "Manuals/calci/GAMMAINV"

Revision as of 23:30, 5 December 2013

Contents

Description

Examples

See Also

References

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