Manuals/calci/BETADIST
BETADIST(x,alpha,beta,a,b)
- is the value between and
- alpha and beta are the value of the shape parameter
- & the lower and upper limit to the interval of .
Description
- This function gives the Cumulative Beta Probability Density function.
- The beta distribution is a family of Continuous Probability Distributions defined on the interval [0, 1] parameterized by two positive shape parameters, denoted by and .
- The Beta Distribution is also known as the Beta Distribution of the first kind.
- In , is the value between and .
- alpha is the value of the shape parameter.
- beta is the value of the shape parameter
- and (optional) are the Lower and Upper limit to the interval of .
- Normally lies between the limit and , suppose when we are omitting and value, by default value with in 0 and 1.
- The Probability Density Function of the beta distribution is:
where ; and is the Beta function.
- The formula for the Cumulative Beta Distribution is called the Incomplete Beta function ratio and it is denoted by and is defined as :
=Failed to parse (syntax error): {\displaystyle \int_{0}^{x}\frac{t^{α−1}(1−t)^{\beta−1}dt} {B(\alpha,\beta)}} , where ; and is the Beta function.
- This function will give the result as error when
1.Any one of the arguments are non-numeric. 2. or 3. , , or
- we are not mentioning the limit values and ,
- By default it will consider the Standard Cumulative Beta Distribution, a = 0 and b = 1.
Failed to parse (syntax error): {\displaystyle t^{\alpha−1} }
Failed to parse (syntax error): {\displaystyle {x^{\alpha-1}}
ZOS
- The syntax is to calculate BEATDIST in ZOS is .
- is the value between LowerBound and UpperBound
- and are the value of the shape parameter.
- For e.g.,BETADIST(11..13,3,5,8,14)
- BETADIST(33..35,5..6,10..11,30,40)
Examples
- =BETADIST(0.4,8,10) = 0.35949234293309396
- =BETADIST(3,5,9,2,6) = 0.20603810250759128
- =BETADIST(9,4,2,8,11) = 0.04526748971193415
- =BETADIST(5,-1,-2,4,7) = #ERROR
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See Also
References