TotalVarIC-class           package:ROptEst           R Documentation

_I_n_f_l_u_e_n_c_e _c_u_r_v_e _o_f _t_o_t_a_l _v_a_r_i_a_t_i_o_n _t_y_p_e

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

     Class of (partial) influence curves of total variation type. i.e.,
     an influence curves eta of the form

                    eta = max(c, min(A Lambda, d))

     with lower clipping bound c, upper clipping bound d and
     standardizing matrix A. Lambda stands for the L2 derivative of the
     corresponding L2 differentiable  parametric family which can be
     created via 'CallL2Fam'.

_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("TotalVarIC",
     ...)'. More frequently they are created via the generating
     function  'TotalVarIC', respectively via the method 'generateIC'.

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

     '_C_a_l_l_L_2_F_a_m': object of class '"call"': creates an object of the
          underlying L2-differentiable  parametric family. 

     '_n_a_m_e': object of class '"character"'. 

     '_C_u_r_v_e': object of class '"EuclRandVarList"'.

     '_R_i_s_k_s': object of class '"list"':  list of risks; cf.
          'RiskType-class'. 

     '_I_n_f_o_s': object of class '"matrix"' with two columns named
          'method' and 'message': additional informations. 

     '_c_l_i_p_L_o': object of class '"numeric"':  lower clipping bound. 

     '_c_l_i_p_U_p': object of class '"numeric"':  upper clipping bound. 

     '_s_t_a_n_d': object of class '"matrix"': standardizing matrix. 

     '_n_e_i_g_h_b_o_r_R_a_d_i_u_s': object of class '"numeric"': radius of the
          corresponding (unconditional) contamination  neighborhood. 

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

     Class '"IC"', directly.
      Class '"InfluenceCurve"', by class '"IC"'.

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

     _C_a_l_l_L_2_F_a_m<- 'signature(object = "TotalVarIC")':  replacement
          function for slot 'CallL2Fam'. 

     _c_l_i_p_L_o 'signature(object = "TotalVarIC")':  accessor function for
          slot 'clipLo'. 

     _c_l_i_p_L_o<- 'signature(object = "TotalVarIC")':  replacement function
          for slot 'clipLo'. 

     _c_l_i_p_U_p 'signature(object = "TotalVarIC")':  accessor function for
          slot 'clipUp'. 

     _c_l_i_p_U_p<- 'signature(object = "TotalVarIC")':  replacement function
          for slot 'clipUp'. 

     _s_t_a_n_d 'signature(object = "TotalVarIC")':  accessor function for
          slot 'stand'. 

     _s_t_a_n_d<- 'signature(object = "TotalVarIC")': replacement function
          for slot 'stand'. 

     _n_e_i_g_h_b_o_r_R_a_d_i_u_s 'signature(object = "TotalVarIC")':  accessor
          function for slot 'neighborRadius'. 

     _n_e_i_g_h_b_o_r_R_a_d_i_u_s<- 'signature(object = "TotalVarIC")':  replacement
          function for slot 'neighborRadius'. 

     _g_e_n_e_r_a_t_e_I_C 'signature(neighbor = "TotalVarNeighborhood", L2Fam =
          "L2ParamFamily")': generate an object of class
          '"TotalVarIC"'. Rarely called directly. 

     _s_h_o_w 'signature(object = "TotalVarIC")'

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

     Matthias Kohl Matthias.Kohl@stamats.de

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

     Rieder, H. (1994) _Robust Asymptotic Statistics_. New York:
     Springer.

     Kohl, M. (2005) _Numerical Contributions to the Asymptotic Theory
     of Robustness_.  Bayreuth: Dissertation.

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

     'IC-class', 'ContIC'

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

     IC1 <- new("TotalVarIC")
     plot(IC1)

