Manuals/calci/BETAINV
BETAINV(prob,alpha,beta,a,b)
- Where 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 , 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.
- 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(x,alpha,beta,a,b)=prob} , 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(prob,alpha,beta,a,b)=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} using 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
- Any one of the arguments are nonnumeric
- 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} <=0
- x<a ,x>b, or a=b
- 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.
Examples
- 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(0.685470581,5,8,2,6)= 3.78378773(excel)=3.75(calci)
- BETAINV(0.75267,1,7,7,9)=7.361844063(Excel)=7.25(calci)
- BETAINV(0.5689,-2,4,3,5)=NAN, because alpha<0.