Difference between revisions of "Manuals/calci/GAMMAINV"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> <font size="3"><font face="Times New Roman">'''GAMMAINV''' ('''prob''',''' alpha, beta''')</font></font> <font siz...")
 
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<div style="font-size:30px">'''GAMMAINV(prob,alpha,beta)'''</div><br/>
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*Where 'prob' is the probability value associated with gamma distribution
 +
*'Alpha'& '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 α&ß.
 +
*It is used in Bayesian statistics.
 +
*In GAMMAINV(prob,alpha,beta) , prob 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,TRUE)=prob, then GAMMAINV(prob,alpha,beta,)=x.
 +
*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.
 +
*This function will give the error result when 
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#Any one of the arguments are nonnumeric
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#alpha or beta<=0
 +
#prob<0 or prob>1
  
<font size="3"><font face="Times New Roman">'''GAMMAINV''' ('''prob''',''' alpha, beta''')</font></font>
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==Examples==
 +
#GAMMAINV(0.65189,2,5)=11.1335534510
 +
#GAMMAINV(0.006867292,5,7)=8.155481331GAMMAINV(0.1543869,9,3)=18.0467153645
 +
#GAMMAINV(1,9,3)=82.51739521528073(CALCI)=119.4248486(EXCEL)
 +
#GAMMAINV(1.1,9,3)=NAN, because prob>1
 +
==See Also==
 +
*[[Manuals/calci/GAMMADIST  | GAMMADIST]]
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*[[Manuals/calci/GAMMALN  | GAMMALN]]
  
<font size="3"><font face="Times New Roman">Where Prob is the probability associated with the gamma distribution, alpha and beta are the parameters to the distribution.</font></font>
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==References==
 
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[http://en.wikipedia.org/wiki/Gamma_distribution| Gamma Distribution]
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GAMMAINV
 
 
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<font size="3"><font face="Times New Roman"><nowiki>=GAMMAINV (B2, B3, B4) is 10</nowiki></font></font>
 
 
 
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<font size="3"><font face="Times New Roman">It is the inverse of the gamma cumulative distribution. </font></font>
 
 
 
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Revision as of 03:31, 4 December 2013

GAMMAINV(prob,alpha,beta)


  • Where 'prob' is the probability value associated with gamma distribution
  • 'Alpha'& '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 α&ß.
  • It is used in Bayesian statistics.
  • In GAMMAINV(prob,alpha,beta) , prob 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,TRUE)=prob, then GAMMAINV(prob,alpha,beta,)=x.
  • 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.
  • This function will give the error result when
  1. Any one of the arguments are nonnumeric
  2. alpha or beta<=0
  3. prob<0 or prob>1

Examples

  1. GAMMAINV(0.65189,2,5)=11.1335534510
  2. GAMMAINV(0.006867292,5,7)=8.155481331GAMMAINV(0.1543869,9,3)=18.0467153645
  3. GAMMAINV(1,9,3)=82.51739521528073(CALCI)=119.4248486(EXCEL)
  4. GAMMAINV(1.1,9,3)=NAN, because prob>1

See Also

References

Gamma Distribution