Generalized Weibull          package:rmutil          R Documentation

_T_h_e _G_e_n_e_r_a_l_i_z_e_d _W_e_i_b_u_l_l _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 Weibull
     distribution with location parameter equal to `m', dispersion
     equal to `s', and family parameter equal to `f'. `dgweibull' gives
     the density, `pgweibull' gives the distribution function,
     `hgweibull' gives the hazard function.

     The generalized Weibull distribution has density

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


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

     f=infinity gives a Weibull distribution, for s=1, f<0 a
     generalized F distribution, and for s>0, f<0 a Burr type XII
     distribution.

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

     dgweibull(y, m, s, f)
     pgweibull(q, m, s, f)
     hgweibull(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:

     `dweibull' for the Weibull distribution, `df' for the F
     distribution, `dburr' for the Burr distribution.

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

     dgweibull(5, 1, 3, 2)
     pgweibull(5, 1, 3, 2)

