ConvexContamination         package:distrEx         R Documentation

_G_e_n_e_r_i_c _F_u_n_c_t_i_o_n _f_o_r _G_e_n_e_r_a_t_i_n_g _C_o_n_v_e_x _C_o_n_t_a_m_i_n_a_t_i_o_n_s

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

     Generic function for generating convex contaminations. This is
     also  known as _gross error model_. Given two distributions P 
     (ideal distribution), R (contaminating distribution) and the size
     varepsilonin [0,1] the convex contaminated distribution

                     Q = (1-epsilon)P + epsilon R

     is generated.

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

     ConvexContamination(e1, e2, size)

_A_r_g_u_m_e_n_t_s:

      e1: object of class '"Distribution"': ideal distribution

      e2: object of class '"Distribution"': contaminating distribution

    size: size of contamination (amount of gross errors)

_V_a_l_u_e:

     Object of class '"Distribution"'.

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

     _e_1 = "_U_n_i_v_a_r_i_a_t_e_D_i_s_t_r_i_b_u_t_i_o_n", _e_2 = "_U_n_i_v_a_r_i_a_t_e_D_i_s_t_r_i_b_u_t_i_o_n", _s_i_z_e = "_n_u_m_e_r_i_c": conve
          x combination of two univariate distributions 

     _e_1 = "_A_b_s_c_o_n_t_D_i_s_t_r_i_b_u_t_i_o_n", _e_2 = "_A_b_s_c_o_n_t_D_i_s_t_r_i_b_u_t_i_o_n", _s_i_z_e = "_n_u_m_e_r_i_c": conve
          x combination of two absolutely continuous univariate
          distributions 

     _e_1 = "_D_i_s_c_r_e_t_e_D_i_s_t_r_i_b_u_t_i_o_n", _e_2 = "_D_i_s_c_r_e_t_e_D_i_s_t_r_i_b_u_t_i_o_n", _s_i_z_e = "_n_u_m_e_r_i_c": conve
          x combination of two discrete univariate distributions 

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

     Matthias Kohl Matthias.Kohl@stamats.de

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

     Huber, P.J. (1981) _Robust Statistics_. New York: Wiley.

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

     'ContaminationSize', 'Distribution-class'

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

     # Convex combination of two normal distributions
     C1 <- ConvexContamination(e1 = Norm(), e2 = Norm(mean = 5), size = 0.1)
     plot(C1)

