Generalized Gamma           package:rmutil           R Documentation

_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 generalized gamma
     distribution with scale parameter equal to 'm', shape equal to
     's', and family parameter equal to 'f': density, cumulative
     distribution, quantiles, log hazard, and random generation.

     The generalized gamma distribution has density

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


     where m is the scale parameter of the distribution, s is the
     shape, and f is the family parameter.

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

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

     dggamma(y, s, m, f, log=FALSE)
     pggamma(q, s, m, f)
     qggamma(p, s, m, f)
     hggamma(y, s, m, f)
     rggamma(n, s, m, f)

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

       y: vector of responses.

       q: vector of quantiles.

       p: vector of probabilities

       n: number of values to generate

       m: vector of location parameters.

       s: vector of dispersion parameters.

       f: vector of family parameters.

     log: if TRUE, log probabilities are supplied.

_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 distribution.

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

     dggamma(2, 5, 4, 2)
     pggamma(2, 5, 4, 2)
     qggamma(0.75, 5, 4, 2)
     rggamma(10, 5, 4, 2)

