Gumbel-class             package:distrEx             R Documentation

_G_u_m_b_e_l _d_i_s_t_r_i_b_u_t_i_o_n

_D_e_s_c_r_i_p_t_i_o_n:

     The Gumbel cumulative distribution function with  location
     parameter 'loc' = mu and scale  parameter 'scale' = sigma is

                   F(x) = exp(-exp[-(x-mu)/sigma])

     for all real x, where sigma > 0;  c.f. 'rgumbel'. This
     distribution is also known as extreme value distribution of type
     I; confer Chapter~22 of  Johnson et al. (1995).

_O_b_j_e_c_t_s _f_r_o_m _t_h_e _C_l_a_s_s:

     Objects can be created by calls of the form 'new("Gumbel", loc,
     scale)'. More frequently they are created via the generating
     function  'Gumbel'.

_S_l_o_t_s:

     '_i_m_g': Object of class '"Reals"'. 

     '_p_a_r_a_m': Object of class '"GumbelParameter"'. 

     '_r': 'rgumbel'

     '_d': 'dgumbel'

     '_p': 'pgumbel'

     '_q': 'qgumbel'

_E_x_t_e_n_d_s:

     Class '"AbscontDistribution"', directly.
      Class '"UnivariateDistribution"', by class
     '"AbscontDistribution"'.
      Class '"Distribution"', by class '"AbscontDistribution"'.

_M_e_t_h_o_d_s:

     _i_n_i_t_i_a_l_i_z_e 'signature(.Object = "Gumbel")': initialize method. 

     _l_o_c 'signature(object = "Gumbel")': wrapped access method for slot
          'loc' of slot 'param'. 

     _s_c_a_l_e 'signature(x = "Gumbel")': wrapped access method for slot
          'scale' of slot 'param'. 

     _l_o_c<- 'signature(object = "Gumbel")': wrapped replace method for
          slot 'loc' of slot 'param'. 

     _s_c_a_l_e<- 'signature(x = "Gumbel")': wrapped replace method for slot
          'scale' of slot 'param'. 

_N_o_t_e:

     This class is based on the code provided by the package 'evd'.

_A_u_t_h_o_r(_s):

     Matthias Kohl Matthias.Kohl@stamats.de

_R_e_f_e_r_e_n_c_e_s:

     Johnson et al. (1995) _Continuous Univariate Distributions. Vol.
     2. 2nd ed._ New York: Wiley.

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

     'rgumbel', 'AbscontDistribution-class'

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

     (G1 <- new("Gumbel", loc = 1, scale = 2))
     plot(G1)
     loc(G1)
     scale(G1)
     loc(G1) <- -1
     scale(G1) <- 2
     plot(G1)

