lmoms                 package:lmomco                 R Documentation

_T_h_e _S_a_m_p_l_e _L-_m_o_m_e_n_t_s _a_n_d _L-_m_o_m_e_n_t _R_a_t_i_o_s

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

     Compute the sample L-moments for a vector.

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

     lmoms(x,nmom)

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

       x: A vector of data values.

    nmom: The number of moments to compute. Default is 5.

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

     An R 'list' is returned.

 lambdas: Vector of the L-moments. First element is
          hat{lambda}^{(0,0)}_1, second element is
          hat{lambda}^{(0,0)}_2, and so on.

  ratios: Vector of the L-moment ratios. Second element is 
          hat{tau}^{(0,0)}, third element is hat{tau}^{(0,0)}_3 and so
          on.

    trim: Level of symmetrical trimming used in the computation, which
          will equal 'NULL' if asymmetrical trimming was used.

 leftrim: Level of left-tail trimming used in the computation.

rightrim: Level of right-tail trimming used in the computation.

  source: An attribute identifying the computational source of the
          L-moments: "lmoms".

_N_o_t_e:

     This function computes the L-moments through the generalization of
     the TL-moments ('TLmoms'). In fact, this function calls the
     default TL-moments with no trimming of the sample. This function
     is equivalent to 'lmom.ub', but returns a different data
     structure.

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

     W.H. Asquith

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

     Elamir, E.A.H., and Seheult, A.H., 2003, Trimmed L-moments:
     Computational statistics and data analysis, vol. 43, pp. 299-314.

     Hosking, J.R.M., 1990, L-moments-Analysis and estimation of
     distributions using linear combinations of order statistics:
     Journal of the Royal Statistical Society, Series B, vol. 52, p.
     105-124.

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

     'lmom.ub', 'TLmoms', and 'lmorph'

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

     X1 <- rnorm(30)
     L5 <- lmoms(X1)
     L4 <- lmoms(X1,nmom=4)

