Module statrs::function::beta

Provides the beta and related function

Functions

• beta
  Computes the beta function where a is the first beta parameter and b is the second beta parameter.
• beta_inc
  Computes the lower incomplete (unregularized) beta function B(a,b,x) = int(t^(a-1)*(1-t)^(b-1),t=0..x) for a > 0, b > 0, 1 >= x >= 0 where a is the first beta parameter, b is the second beta parameter, and x is the upper limit of the integral
• beta_reg
  Computes the regularized lower incomplete beta function I_x(a,b) = 1/Beta(a,b) * int(t^(a-1)*(1-t)^(b-1), t=0..x) a > 0, b > 0, 1 >= x >= 0 where a is the first beta parameter, b is the second beta parameter, and x is the upper limit of the integral.
• checked_beta
  Computes the beta function where a is the first beta parameter and b is the second beta parameter.
• checked_beta_inc
  Computes the lower incomplete (unregularized) beta function B(a,b,x) = int(t^(a-1)*(1-t)^(b-1),t=0..x) for a > 0, b > 0, 1 >= x >= 0 where a is the first beta parameter, b is the second beta parameter, and x is the upper limit of the integral
• checked_beta_reg
  Computes the regularized lower incomplete beta function I_x(a,b) = 1/Beta(a,b) * int(t^(a-1)*(1-t)^(b-1), t=0..x) a > 0, b > 0, 1 >= x >= 0 where a is the first beta parameter, b is the second beta parameter, and x is the upper limit of the integral.
• checked_ln_beta
  Computes the natural logarithm of the beta function where a is the first beta parameter and b is the second beta parameter and a > 0, b > 0.
• inv_beta_reg
  Computes the inverse of the regularized incomplete beta function
• ln_beta
  Computes the natural logarithm of the beta function where a is the first beta parameter and b is the second beta parameter and a > 0, b > 0.