Levy                 package:rmutil                 R Documentation

_T_h_e _L_e_v_y _D_i_s_t_r_i_b_u_t_i_o_n

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

     These functions provide information about the Levy distribution
     with location parameter equal to `m' and dispersion equal to `s'. 
     `dlevy' gives the density, `plevy' gives the distribution
     function.

     The Levy distribution has density

           f(y) = sqrt(s/(2 pi (y-m)^3)) exp(-s/(2 (y-m)))

     where m is the location parameter of the distribution and s is the
     dispersion, and y>m.

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

     dlevy(y, m, s)
     plevy(q, m, s)

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

       y: vector of responses.

       q: vector of quantiles.

       m: vector of location parameters.

       s: vector of dispersion parameters.

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

     J.K. Lindsey

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

     `dnorm' for the normal distribution and `dcauchy' for the Cauchy
     distribution, two other stable distributions.

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

     dlevy(5, 2, 1)
     plevy(5, 2, 1)

