

Pareto(rmutil)                               R Documentation

_T_h_e _P_a_r_e_t_o _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 Pareto
     distribution with location parameter equal to `m' and
     dispersion equal to `s'.  `dpareto' gives the density,
     `ppareto' gives the distribution function, `hpareto'
     gives the hazard function.

     The Pareto distribution has density

           f(y) = s (1 + y/(m (s-1)))^(-s-1)/(m (s-1))

     where m is the mean parameter of the distribution and s
     is the dispersion.

     This distribution can be obtained as a mixture distri-
     bution from the exponential distribution using a gamma
     mixing distribution.

_U_s_a_g_e_:

     dpareto(y, m, s)
     ppareto(q, m, s)
     hpareto(y, 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_:

     `dexp' for the exponential distribution.

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

     dpareto(5, 2, 1)
     ppareto(5, 2, 1)

