

_T_h_e _S_t_u_d_e_n_t _t _D_i_s_t_r_i_b_u_t_i_o_n

     dt(x, df)
     pt(q, df, ncp=0)
     qt(p, df)
     rt(n, df)

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

     x,q: vector of quantiles.

       p: vector of probabilities.

       n: number of observations to generate.

  df,ncp: degrees of freedom and non-centrality parameter.

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

     These functions provide information about the t distri-
     bution with `df' degrees of freedom (and optional non-
     centrality parameter `ncp').  `dt' gives the density,
     `pt' gives the distribution function, `qt' gives the
     quantile function and `rt' generates random deviates.

     The t distribution with `df' = n degrees of freedom has
     density

          f(x) = Gamma((n+1)/2) / (sqrt(n pi) Gamma(n/2)) (1 + x^2/n)^-((n+1)/2)

     for all real x.

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

     `df' for the F distribution.

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

     1 - pt(1:5, df = 1)
     qt(.975, df = c(1:10,20,50,100,1000))

