Difference between revisions of "Manuals/calci/GAMMAINV"

Latest revision as of 17:12, 7 August 2018

GAMMAINV (probability,alpha,beta,accuracy,somenumberofiterations)

$probability$ is the probability value associated with gamma distribution
$alpha(\alpha )$ & $beta(\beta )$ are the values of the shape and rate parameters.
$accuracy$ gives accurate value of the solution.
is any positive integer.
- GAMMAINV(),returns the inverse of the gamma cumulative distribution.

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 $\alpha$ & $\beta$ .
It is used in Bayesian statistics.
In $GAMMAINV(probability,alpha,beta,accuracy,somenumberofiterations)$ , $probability$ is the probability value associated with Gamma Distribution, $alpha$ is called shape parameter and $beta$ is the rate parameter of the distribution.
If $GAMMADIST(x,alpha,beta,cumulative,accuracy)=prob$ , then $GAMMAINV(probability,alpha,beta,accuracy,somenumberofiterations)=x$ .
GAMMAINV use the iterating method to find the value of $x$ .
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. $alpha\leq 0$  or  $beta\leq 0$ 
3. $probability<0$  or  $probability>1$

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 $prob>1$

References

Gamma Distribution

List of Main Z Functions

Z3 home

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''GAMMAINV(prob,alpha,beta)'''</div><br/>
+<div style="font-size:30px">'''GAMMAINV (probability,alpha,beta,accuracy,somenumberofiterations)'''</div><br/>
-*Where 'prob' is the probability value associated with gamma distribution
+*<math>probability</math> is the probability value associated with gamma distribution
-*'Alpha'& 'beta' are the values of  the shape and rate parameters
+*<math>alpha(\alpha)</math> & <math>beta(\beta)</math> are the values of  the shape and rate parameters.
+*<math> accuracy </math> gives accurate value of the solution.
+*<math> somenumberofiterations </math> is any positive integer.
+**GAMMAINV(),returns the inverse of the gamma cumulative distribution.
 ==Description==
-*This function gives the inverse value of cumulative gamma probability distribution.
+*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 α&ß.
+*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> , prob is the probability value associated with gamma distribution,alpha is called shape parameter and beta is the rate parameter of the distribution.
+*In <math>GAMMAINV (probability,alpha,beta,accuracy,somenumberofiterations)</math> , <math> probability </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 GAMMADIST(x,alpha,beta,TRUE)=prob, then GAMMAINV(prob,alpha,beta,)=x.
+*If <math>GAMMADIST (x,alpha,beta,cumulative,accuracy)=prob</math>, then <math>GAMMAINV (probability,alpha,beta,accuracy,somenumberofiterations)= x</math>.
-*GAMMAINV using the iterating method to find the value of x.suppose the iteration has not converged after 100 searches, then the function gives the error result.
+*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 nonnumeric
+.Any one of the arguments are non-numeric
-#alpha or beta<=0
+.<math>alpha \le 0 </math> or <math>beta \le 0 </math>
-#prob<0 or prob>1
+.<math>probability < 0</math> or <math> probability > 1 </math>
 ==Examples==
-#GAMMAINV(0.65189,2,5)=11.1335534510
+#=GAMMAINV(0.65189,2,5) = 11.1335534510
-#GAMMAINV(0.006867292,5,7)=8.155481331GAMMAINV(0.1543869,9,3)=18.0467153645
+#=GAMMAINV(0.006867292,5,7) = 8.155481331
-#GAMMAINV(1,9,3)=82.51739521528073(CALCI)=119.4248486(EXCEL)
+#=GAMMAINV(0.1543869,9,3) = 18.0467153645
-#GAMMAINV(1.1,9,3)=NAN, because prob>1
+#=GAMMAINV(1,9,3) = 82.51739521528073
+#=GAMMAINV(1.1,9,3) = NAN, because <math> prob>1 </math>
+==Related Videos==
+{{#ev:youtube|SAMTXAAKeug|280|center|GAMMA Distribution}}
 ==See Also==
 *[[Manuals/calci/GAMMADIST  | GAMMADIST]]
@@ Line 24: / Line 35: @@
 ==References==
-[http://en.wikipedia.org/wiki/Gamma_distribution| Gamma Distribution]
+[http://en.wikipedia.org/wiki/Gamma_distribution  Gamma Distribution]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]

Difference between revisions of "Manuals/calci/GAMMAINV"

Latest revision as of 17:12, 7 August 2018

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