mean3              package:ICS              R Documentation(latin1)

_L_o_c_a_t_i_o_n _E_s_t_i_m_a_t_e _b_a_s_e_d _o_n _T_h_i_r_d _M_o_m_e_n_t_s

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

     ~~ Estimates the location based on third moments. ~~

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

     mean3(X, na.action = na.fail)

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

       X: numeric data matrix or dataframe with at least two columns.

na.action: a function which indicates what should happen when the data
          contain 'NA's.  Default is to fail. 

_D_e_t_a_i_l_s:

     This Location Estimate is defined for n x p matrix X as

                       S= 1/(p) ave[r_i^2 x_i],

     where r_i is Mahalanobis distance between x_i and the mean with
     respect to the regular covariance matrix.

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

     A vector.

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

     Klaus Nordhausen, klaus.nordhausen@uta.fi

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

     Oja, H., Sirkia, S. and Eriksson, J. (2006), Scatter matrices and
     independent component analysis, _Austrian Journal of Statistics_,
     *35*,  175-189.

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

     set.seed(654321)
     cov.matrix <- matrix(c(3,2,1,2,4,-0.5,1,-0.5,2), ncol=3)
     X <- rmvnorm(100, c(0,0,0), cov.matrix)
     mean3(X)
     rm(.Random.seed)

