

Generalized Gamma(rmutil)                    R Documentation

_T_h_e _G_e_n_e_r_a_l_i_z_e_d _G_a_m_m_a _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 general-
     ized gamma distribution with location parameter equal
     to `m', dispersion equal to `s', and family parameter
     equal to `f'.  `dggamma' gives the density, `pggamma'
     gives the distribution function, `hggamma' gives the
     hazard function.

     The generalized gamma distribution has density

          f(y) = 1/((m/s)^(fs) Gamma(s)) y^(f(s-1)) exp(-(y s/m)^f)

     where m is the location parameter of the distribution,
     s is the dispersion, and f is the family parameter.

     f=1 yields a gamma distribution, s=1 a Weibull distri-
     bution, and s=infinity a log normal distribution.

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

     dggamma(y, m, s, f)
     pggamma(q, m, s, f)
     hggamma(y, m, s, f)

_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.

       f: vector of family parameters.

_A_u_t_h_o_r_(_s_)_:

     J.K. Lindsey

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

     `dgamma' for the gamma distribution, `dweibull' for the
     Weibull distribution, `dlnorm' for the log normal dis-
     tribution.

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

     dggamma(2, 5, 4, 2)
     pggamma(2, 5, 4, 2)

