dnormt3                package:NORMT3                R Documentation

_D_e_n_s_i_t_y _f_u_n_c_t_i_o_n _o_f _s_u_m _o_f _G_a_u_s_s_i_a_n _a_n_d _S_t_u_d_e_n_t'_s _t _o_n _3 _d_f

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

     Computes the probability density function of the sum of the
     Gaussian distribution and the Student's t distribution on 3
     degrees of freedom.

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

     dnormt3(x, mean = 0, sd = 1)

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

       x: Where to evaluate the density function

    mean: The mean of the Gaussian

      sd: The standard deviation of the Gaussian

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

     Computes the probability density function of the sum of the
     Gaussian distribution and the Student's t distribution on 3
     degrees of freedom.

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

     The appropriate pdf value.

_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','dst','dnorm'

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

     dnormt3(0)
     #
     # Should be 0.4501582 = sqrt(2)/pi
     #
     x <- seq(from=-5, to=5, length=100)
     plot(x, dnormt3(x), type="l")   # Density plot

