lmomcau                package:lmomco                R Documentation

_T_r_i_m_m_e_d _L-_m_o_m_e_n_t_s _o_f _t_h_e _C_a_u_c_h_y _D_i_s_t_r_i_b_u_t_i_o_n

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

     This function estimates the trimmed L-moments of the Cauchy
     distribution given the parameters (xi and alpha) from 'parcau'.
     The trimmed L-moments in terms of the parameters are


                     lambda^{(1)}_1 = xi mbox{,}


                 lambda^{(1)}_2 = 0.698alpha mbox{,}


                     tau^{(1)}_3 = 0 mbox{, and}


                     tau^{(1)}_4 = 0.343 mbox{.}

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

     lmomcau(para)

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

    para: The parameters of the distribution.

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

     An R 'list' is returned.

 lambdas: Vector of the trimmed L-moments. First element is
          lambda^{(1)}_1, second element is lambda^{(1)}_2, and so on.

  ratios: Vector of the L-moment ratios. Second element is  tau^{(1)},
          third element is tau^{(1)}_3 and so on. 

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

    trim: Level of symmetrical trimming used-'trim=1'.

_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.

     Gilchrist, W.G., 2000, Statistical modeling with quantile
     functions:  Chapman and Hall/CRC, Boca Raton, FL.

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

     'parcau', 'quacau', 'cdfcau'

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

     X1 <- rcauchy(20)
     lmomcau(parcau(TLmoms(X1,trim=1)))

