Difference between revisions of "Manuals/calci/BETAINV"

Revision as of 02:59, 4 December 2013

BETAINV(prob,alpha,beta,a,b)

$prob$ is the probability value associated with the beta distribution.
$\alpha$ & $beta$ are the values of the shape parameter.
$a$ & $b$ the lower and upper limit to the interval of $x$ .

Description

This function gives the inverse value of Cumulative Beta Probability Distribution.
It is called Inverted Beta Function or Beta Prime.
In $BETAINV(prob,\alpha ,\beta ,a,b)$ , $prob$ is the probability value associated with Beta Distribution, $alpha$ and $beta$ are the values of 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 $b$ .
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 $0$ and $1$ .
If $BETADIST(x,\alpha ,\beta ,a,b)=prob$ , then $BETAINV(prob,\alpha ,\beta ,a,b)=x$ .
$BETAINV$ 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. $x<a,x>b$  or  $a=b$ 
4.we are not mentioning the limit values  for  $a$ & $b$ , by default it will consider the Standard Cumulative Beta Distribution,  $a=0$  and  $b=1$ .

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) = NAN, because $\alpha <0$ .

References

Beta Distribution

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 <div style="font-size:30px">'''BETAINV(prob,alpha,beta,a,b)'''</div><br/>
-*Where prob is the probability value associated with the beta distribution.
+*<math>prob</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>a</math> & <math>b</math> the lower and upper limit to the interval of <math>x</math>.
 ==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(prob,\alpha,\beta,a,b)</math>, <math>prob</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>a</math> and <math>b</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>a</math>&<math>b</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>a</math> and <math>b</math>, by default it will consider <math>a=0</math> and <math>b=1</math>, so the result value is from <math>0</math> and <math>1</math>.
+*If <math>BETADIST(x,\alpha,\beta,a,b)=prob</math>, then <math>BETAINV(prob,\alpha,\beta,a,b)=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
+.<math>\alpha</math> or <math>\beta \le 0 </math>
-#x<a ,x>b, or a=b
+.<math>x<a ,x>b</math> or <math>a=b</math>
-#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 <math>a</math>&<math>b</math>, by default it will consider the Standard Cumulative Beta Distribution, <math>a = 0</math> and <math>b = 1</math>.
 ==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) = NAN, because <math>\alpha < 0</math>.
 ==See Also==

Difference between revisions of "Manuals/calci/BETAINV"

Revision as of 02:59, 4 December 2013

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Description

Examples

See Also

References

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