Difference between revisions of "Manuals/calci/BETAINV"

Latest revision as of 03:50, 24 August 2020

BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)

$Probability$ is the probability value associated with the beta distribution.
$Alpha$ & $Beta$ are the values of the shape parameter.
$LowerBound$ & $UpperBound$ the lower and upper limit to the interval of $x$ .
$Accuracy$ gives accurate value of the solution.
is the value of the division.
- BETAINV(), returns the inverse of the Cumulative Distribution Function for a specified beta distribution.

Description

This function gives the inverse value of Cumulative Beta Probability Distribution.
It is called Inverted Beta Function or Beta Prime.
In $BETAINV(Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)$ , $Probability$ is the probability value associated with Beta Distribution, $Alpha$ and $Beta$ are the values of two positive shape parameters and $LowerBound$ and $UpperBound$ are the lower and upper limit.
Normally the limit values are optional, i.e. when we are giving the values of $LowerBound$ & $UpperBound$ then the result value is from $a$ and $b$ .
When we are omitting the values $LowerBound$ and $UpperBound$ , by default it will consider $LowerBound=0$ and $UpperBound=1$ , so the result value is from $0$ and $1$ .
If $BETADIST(Number,Alpha,Beta,LowerBound,UpperBound)=Probability$ , then $BETAINV(Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)=x$ .
$BETAINV$ 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 or Beta  $\leq$  0 
3.Number<LowerBound ,Number>UpperBound or LowerBound = UpperBound
4.we are not mentioning the limit values  for LowerBound & UpperBound , 
  by default it will consider the Standard Cumulative Beta Distribution, LowerBound = 0 and UpperBound = 1

ZOS

The syntax is to calculate of this function in ZOS is .
- $probability$ is the probability value associated with the beta distribution.
- $Alpha$ and $Beta$ are the values of the shape parameter.
- For e.g.,BETAINV(0.30987,10,18,12,16)

Examples

BETAINV(0.2060381025,5,9,2,6) = 3
BETAINV(0.359492343,8,10) = 1.75
BETAINV(0.685470581,5,8,2,6) = 3.75
BETAINV(0.75267,1,7,7,9) = 7.25
BETAINV(0.5689,-2,4,3,5) = #N/A (ALPHA GREATER THAN (OR) NOT EQUAL TO 0)

References

Beta Distribution

List of Main Z Functions

Z3 home

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''BETAINV(prob,alpha,beta,a,b)'''</div><br/>
+<div style="font-size:25px">'''BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)'''</div><br/>
-*Where prob is the probability value associated with the beta distribution.
+*<math>Probability</math> is the probability value associated with the beta distribution.
-*Alpha& beta are the values of  the shape parameter.
+*<math>Alpha</math> & <math>Beta</math> are the values of  the shape parameter.
-*a&b the lower and upper limit to the interval of x.
+*<math>LowerBound</math> & <math>UpperBound</math> the lower and upper limit to the interval of <math>x</math>.
+*<math>Accuracy</math> gives accurate value of the solution.
+*<math>DivisionsAndDepthArray</math> is the value of the division.
+**BETAINV(), returns the inverse of the Cumulative Distribution Function for a specified beta distribution.
 ==Description==
-*This function gives the inverse value of cumulative beta probability distribution.
+*This function gives the inverse value of Cumulative Beta Probability Distribution.
-*It is called inverted beta function or beta prime.
+*It is called Inverted Beta Function or Beta Prime.
-*In <math>BETAINV(prob,alpha,beta,a,b)</math>, prob is the probability value of the associated with beta distribution, alpha and beta are the values of the  two positive shape parameters and a and b are the lower and upper limit. *Normally the limit values are optional, i.e., when we are giving the values of a&b then the result value is from a and b, otherwise when we are omitting the values a and b by default it will consider a=0 and b=1, so the result value is from 0 and1.
+*In <math>BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)</math>, <math>Probability</math> is the probability value associated with Beta Distribution, <math>Alpha</math> and <math>Beta</math> are the values of two positive shape parameters and <math>LowerBound</math> and <math>UpperBound</math> are the lower and upper limit.
-*If <math>BETADIST(x,alpha,beta,a,b)=prob</math>, then <math>BETAINV(prob,alpha,beta,a,b)=x</math>.
+*Normally the limit values are optional, i.e. when we are giving the values of <math>LowerBound</math>&<math>UpperBound</math> then the result value is from <math>a</math> and <math>b</math>.
-*<math>BETAINV</math> using 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.
+*When we are omitting the values <math>LowerBound</math> and <math>UpperBound</math>, by default it will consider <math>LowerBound=0</math> and <math>UpperBound=1</math>, so the result value is from <math>0</math> and <math>1</math>.
+*If <math>BETADIST (Number,Alpha,Beta,LowerBound,UpperBound)=Probability</math>, then <math>BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)=x</math>.
+*<math>BETAINV</math> 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
-#<math>alpha</math> or <math>beta</math><=0
+.Alpha or Beta <math>\le</math> 0
-#x<a ,x>b, or a=b
+.Number<LowerBound ,Number>UpperBound or LowerBound = UpperBound
-#we are not mentioning the limit values a and b, by default it will consider the standard cumulative beta distribution, a= 0 and b= 1.
+.we are not mentioning the limit values  for LowerBound & UpperBound ,
+   by default it will consider the Standard Cumulative Beta Distribution, LowerBound = 0 and UpperBound = 1
+==ZOS==
+*The syntax is to calculate of this function in ZOS is <math>BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)</math>.
+**<math>probability</math> is the probability value associated with the beta distribution.
+**<math>Alpha</math> and <math>Beta</math> are the values of  the shape parameter.
+**For e.g.,BETAINV(0.30987,10,18,12,16)
 ==Examples==
-#BETAINV(0.2060381025,5,9,2,6)=3
+#BETAINV(0.2060381025,5,9,2,6) = 3
-#BETAINV(0.359492343,8,10)=0.399999976(EXCEL) is approximate to 0.4=1.75(calci)
+#BETAINV(0.359492343,8,10) = 1.75
-#BETAINV(0.685470581,5,8,2,6)= 3.78378773(excel)=3.75(calci)
+#BETAINV(0.685470581,5,8,2,6) = 3.75
-#BETAINV(0.75267,1,7,7,9)=7.361844063(Excel)=7.25(calci)
+#BETAINV(0.75267,1,7,7,9) = 7.25
-#BETAINV(0.5689,-2,4,3,5)=NAN, because alpha<0.
+#BETAINV(0.5689,-2,4,3,5) = #N/A (ALPHA GREATER THAN (OR) NOT EQUAL TO 0)
+==Related Videos==
+{{#ev:youtube|v=KjlIoium8n4|280|center|Beta Inverse Distribution}}
 ==See Also==
@@ Line 28: / Line 46: @@
 ==References==
-[http://en.wikipedia.org/wiki/Beta_distribution Beta Distribution]
+[http://en.wikipedia.org/wiki/Beta_distribution  Beta Distribution]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]

Difference between revisions of "Manuals/calci/BETAINV"

Latest revision as of 03:50, 24 August 2020

Contents

Description

ZOS

Examples

Related Videos

See Also

References

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