Manuals/calci/BETADIST

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BETADIST(x,alpha,beta,a,b)


  • x is the value between a and b,
  • alpha and beta are the value of the shape parameter
  • a & b the lower and upper limit to the interval of x.

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 F(x)=Ix(\alpha,\beta)=\int_{0}^{x}\frac{t^{α−1}(1−t)^{\beta−1}dt} {B(p,q)}} , where 0 ; 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 
4.we are not mentioning the limit values  and , 
by default it will consider the Standard Cumulative Beta Distribution,  and .

Examples

  1. BETADIST(0.4,8,10) = 0.359492343
  2. BETADIST(3,5,9,2,6) = 0.20603810250
  3. BETADIST(9,4,2,8,11) = 0.04526748971
  4. BETADIST(5,-1,-2,4,7) = NAN

See Also

References

Beta Distribution