diri_norm           package:hyperdirichlet           R Documentation

_N_o_r_m_a_l_i_z_a_t_i_o_n _c_o_n_s_t_a_n_t_s _f_o_r _t_h_e _D_i_r_i_c_h_l_e_t _a_n_d _g_e_n_e_r_a_l_i_z_e_d _D_i_r_i_c_h_l_e_t
_d_i_s_t_r_i_b_u_t_i_o_n_s

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

     Normalization constants for the Dirichlet and generalized
     Dirichlet distributions using computationally efficient methods

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

     diri_norm(x)
     gd_norm(a,b)

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

       x: Vector of parameters in the Dirichlet distribution

     a,b: Vectors of parameters in the generalized Dirichlet
          distribution

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

     Returns the normalization constant:


                     omitted: see a LaTeXed file


     for the Dirichlet and


                     omitted: see a LaTeXed file


     for the generalized Dirichlet.

_N_o_t_e:

     The functions make use of the logarithmic form of the gamma and
     beta functions to avoid overflow

_A_u_t_h_o_r(_s):

     Robin K. S. Hankin

_R_e_f_e_r_e_n_c_e_s:

     R. J. Connor and J. E. Mosimann 1969. Concepts of independence
     for proportions with a generalization of the Dirichlet
     distribution. _Journal of the American Statistical Association_,
     volume 64, number 325, pp194-206

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

     'dhyperdirichlet'

_E_x_a_m_p_l_e_s:

     diri_norm(runif(9))
     gd_norm(1:3 , 3:1)

