L2ParamFamily-class         package:ROptEst         R Documentation

_L_2 _d_i_f_f_e_r_e_n_t_i_a_b_l_e _p_a_r_a_m_e_t_r_i_c _f_a_m_i_l_y

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

     Class of L2 differentiable parametric families.

_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("L2ParamFamily",
     ...)'. More frequently they are created via the generating
     function  'L2ParamFamily'.

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

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

     '_d_i_s_t_r_i_b_u_t_i_o_n': object of class '"Distribution"': member of the
          family. 

     '_d_i_s_t_r_S_y_m_m': Object of class '"DistributionSymmetry"':  symmetry
          of 'distribution'. 

     '_p_a_r_a_m': object of class '"ParamFamParameter"': parameter of the
          family. 

     '_p_r_o_p_s': object of class '"character"': properties of the family. 

     '_L_2_d_e_r_i_v': object of class '"EuclRandVariable"': L2 derivative of
          the family. 

     '_L_2_d_e_r_i_v_S_y_m_m': object of class '"FunSymmList"': symmetry of the
          maps included in 'L2deriv'. 

     '_L_2_d_e_r_i_v_D_i_s_t_r': object of class '"UnivarDistrList"': list which
          includes the distribution of 'L2deriv'. 

     '_L_2_d_e_r_i_v_D_i_s_t_r_S_y_m_m': object of class '"DistrSymmList"': symmetry of
          the distributions included in 'L2derivDistr'. 

     '_F_i_s_h_e_r_I_n_f_o': object of class '"PosDefSymmMatrix"': Fisher
          information of the family. 

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

     Class '"ParamFamily"', directly.
      Class '"ProbFamily"', by class '"ParamFamily"'.

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

     _L_2_d_e_r_i_v 'signature(object = "L2ParamFamily")':  accessor function
          for 'L2deriv'. 

     _L_2_d_e_r_i_v_S_y_m_m 'signature(object = "L2ParamFamily")':  accessor
          function for 'L2derivSymm'. 

     _L_2_d_e_r_i_v_D_i_s_t_r 'signature(object = "L2ParamFamily")': accessor
          function for 'L2derivDistr'. 

     _L_2_d_e_r_i_v_D_i_s_t_r_S_y_m_m 'signature(object = "L2ParamFamily")': accessor
          function for 'L2derivDistrSymm'. 

     _F_i_s_h_e_r_I_n_f_o 'signature(object = "L2ParamFamily")': accessor
          function for 'FisherInfo'. 

     _c_h_e_c_k_L_2_d_e_r_i_v 'signature(object = "L2ParamFamily")':  check
          centering of 'L2deriv' and compute precision  of Fisher
          information. 

     _E 'signature(object = "L2ParamFamily", fun = "EuclRandVariable",
          cond = "missing")': expectation of 'fun' under the
          distribution of 'object'. 

     _E 'signature(object = "L2ParamFamily", fun = "EuclRandMatrix",
          cond = "missing")': expectation of 'fun' under the
          distribution of 'object'. 

     _E 'signature(object = "L2ParamFamily", fun = "EuclRandVarList",
          cond = "missing")': expectation of 'fun' under the
          distribution of 'object'. 

     _p_l_o_t 'signature(x = "L2ParamFamily")':  plot of 'distribution' and
          'L2deriv'. 

_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:

     'L2ParamFamily', 'ParamFamily-class'

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

     F1 <- new("L2ParamFamily")
     plot(F1)

