is1                  package:NORMT3                  R Documentation

_C_o_m_p_u_t_e _I_S_1 _f_o_r_m_u_l_a _f_r_o_m _N_a_s_o_n (_2_0_0_5)

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

     Computes $I_{S1}(p,d) = \int_{d}^{\infty} \cos (px) \exp (-x^2)
     dx$

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

     is1(p, d)

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

       p: Argument for IS1 function

       d: Argument for IS1 function

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

     An intermediate function for the computation of the inner product
     between Gaussian and Student's t distribution.

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

     Value of the function IS1

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

     Guy Nason

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

     Nason, G.P. (2005) On the sum of the Gaussian and Student's t
     random variables. _Technical Report_, 05:01, Statistics Group,
     Department of Mathematics, University of Bristol.

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

     'normt3ip'

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

     is1(1,1)
     #
     # Should give 0.1297382.
     #

