Manuals/calci/BETADISTX

BETADISTX(x,alpha,beta)


  • is any real number.
  • alpha and beta are the value of the shape parameter

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 any real number.
  • alpha is the value of the shape parameter.
  • beta is the value of the shape parameter
  • 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 F(x)=I_{x}(\alpha,\beta)=\int\limits_{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  

Examples

  1. =BETADIST(0.4,8,10) = 0.35949234293309396
  2. =BETADIST(3,5,9,2,6) = 0.20603810250759128
  3. =BETADIST(9,4,2,8,11) = 0.04526748971193415
  4. =BETADIST(5,-1,-2,4,7) = #ERROR


See Also

References

Beta Distribution