Ibeta                  package:UCS                  R Documentation

_T_h_e _I_n_c_o_m_p_l_e_t_e _B_e_t_a _F_u_n_c_t_i_o_n (_s_f_u_n_c)

_D_e_s_c_r_i_p_t_i_o_n:

     Computes the incomplete Beta function and its inverse.  The Beta
     value can be scaled to a base 10 logarithm.

_U_s_a_g_e:

     Ibeta(x, a, b, log=FALSE)

     Ibeta.inv(y, a, b, log=FALSE)

_A_r_g_u_m_e_n_t_s:

    a, b: non-negative numeric vectors, the parameters of the
          incomplete Beta function

       x: a numeric vector with values in the range [0,1], the point at
          which the incomplete Beta function is evaluated

       y: a numeric vector, the values of the incomplete Beta function
          (or their base 10 logarithms if 'log=TRUE')

     log: if 'TRUE', the Beta values are base 10 logarithms (default:
          'FALSE')

_D_e_t_a_i_l_s:

     The incomplete Beta function is defined by the Beta integral

            B(x;a,b) = integral_0^x t^(a-1) (1-t)^(b-1) dt

_V_a_l_u_e:

     'Ibeta' returns the incomplete Beta function with parameters
     ('a','b') evaluated at point 'x'.

     'Ibeta.inv' returns the point 'x' at which the incomplete Beta
     function with parameters ('a','b') evaluates to 'y'.

_S_e_e _A_l_s_o:

     'Cgamma', 'Igamma', 'Rgamma', 'Cbeta', 'Rbeta'

