Generalized Logistic         package:rmutil         R Documentation

_G_e_n_e_r_a_l_i_z_e_d _L_o_g_i_s_t_i_c _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 logistic
     distribution with location parameter equal to 'm', dispersion
     equal to 's', and family parameter equal to 'f': density,
     cumulative distribution, quantiles, log hazard, and random
     generation.

     The generalized logistic distribution has density

 f(y) = f sqrt(3) exp(-sqrt(3) (y-m)/(s pi))/ (s pi (1+exp(-sqrt(3) (y-m)/(s pi)))^(f+1))


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

     f=1 gives a logistic distribution.

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

     dglogis(y, m=0, s=1, f=1, log=FALSE)
     pglogis(q, m=0, s=1, f=1)
     qglogis(p, m=0, s=1, f=1)
     hglogis(y, m=0, s=1, f=1)
     rglogis(n, m=0, s=1, f=1)

_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:

     'dlogis' for the logistic distribution.

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

     dglogis(5, 5, 1, 2)
     pglogis(5, 5, 1, 2)
     qglogis(0.25, 5, 1, 2)
     rglogis(10, 5, 1, 2)

