Difference between revisions of "Manuals/calci/BETAINV"
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| − | <div style="font-size:30px">'''BETAINV( | + | <div style="font-size:30px">'''BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)'''</div><br/> |
| − | *<math> | + | *<math>Probability</math> is the probability value associated with the beta distribution. |
| − | *<math> | + | *<math>Alpha</math> & <math>Beta</math> are the values of the shape parameter. |
| − | *<math> | + | *<math>LowerBound</math> & <math>UpperBound</math> the lower and upper limit to the interval of <math>x</math>. |
==Description== | ==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( | + | *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. |
| − | *Normally the limit values are optional, i.e. when we are giving the values of <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>. |
*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>. | *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( | + | *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. | *<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 | *This function will give the error result when | ||
1.Any one of the arguments are non-numeric | 1.Any one of the arguments are non-numeric | ||
| − | 2.<math> | + | 2.<math>Alpha</math> or <math>Beta \le 0 </math> |
| − | 3.<math> | + | 3.<math>Number<LowerBound ,Number>UpperBound</math> or LowerBound = UpperBound |
| − | 4.we are not mentioning the limit values for <math> | + | 4.we are not mentioning the limit values for <math>LowerBound</math>&<math>UpperBound</math>, |
| − | by default it will consider the Standard Cumulative Beta Distribution, | + | by default it will consider the Standard Cumulative Beta Distribution, LowerBound = 0 and UpperBound = 1 |
==ZOS== | ==ZOS== | ||
| − | *The syntax is to calculate of this function in ZOS is <math>BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy)</math>. | + | *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>probability</math> is the probability value associated with the beta distribution. | ||
| − | **<math> | + | **<math>Alpha</math> and <math>Beta</math> are the values of the shape parameter. |
**For e.g.,BETAINV(0.30987,10,18,12,16) | **For e.g.,BETAINV(0.30987,10,18,12,16) | ||
Revision as of 16:32, 12 June 2018
BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)
- 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 Probability} is the probability value associated with the beta 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} & 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} are the values of the shape parameter.
- 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 LowerBound} & 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 UpperBound} the lower and upper limit to the interval 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} .
Description
- This function gives the inverse value of Cumulative Beta Probability Distribution.
- It is called Inverted Beta Function or Beta Prime.
- 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 BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)} , 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 Probability} is the probability value associated with Beta 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} 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} are the values of two positive shape parameters 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 LowerBound} 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 UpperBound} are the lower and upper limit.
- Normally the limit values are optional, i.e. when we are giving the values 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 LowerBound} &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 UpperBound} then the result value is from 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 a} 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 b} .
- When we are omitting the values 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 a} 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 b} , by default it will consider 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 a=0} 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 b=1} , so the result value is from 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 0} 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 1} .
- 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 BETADIST (Number,Alpha,Beta,LowerBound,UpperBound)=Probability} , 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 BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)=x} .
- 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 BETAINV} 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}
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 Number<LowerBound ,Number>UpperBound}
or LowerBound = UpperBound
4.we are not mentioning the limit values for 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 LowerBound}
&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 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 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 BETAINV (Probability,Alpha,Beta,LowerBound,UpperBound,Accuracy,DivisionsAndDepthArray)}
.
- 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 probability} is the probability value associated with the beta 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} 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} 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) = 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 \alpha < 0} .
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