Generalized Weibull          package:rmutil          R Documentation

_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, also called the exponentiated Weibull, 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 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 scale parameter of the distribution, s is the
     shape, and f is the family parameter.

     f=1 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, s, m, f, log=FALSE)
     pgweibull(q, s, m, f)
     qgweibull(p, s, m, f)
     hgweibull(y, s, m, f)
     rgweibull(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:

     '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)
     qgweibull(0.65, 1, 3, 2)
     rgweibull(10, 1, 3, 2)

