cdfgld                package:lmomco                R Documentation

_C_u_m_u_l_a_t_i_v_e _D_i_s_t_r_i_b_u_t_i_o_n _F_u_n_c_t_i_o_n _o_f _t_h_e _G_e_n_e_r_a_l_i_z_e_d _L_a_m_b_d_a _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 computes the cumulative probability or nonexceedance
     probability of the Generalized Lambda distribution given
     parameters (xi, alpha, kappa, and h) of the distribution computed
     by 'pargld' or similar. The cumulative distribution function of
     the distribution has no explicit form. The R function 'uniroot' is
     used to root the quantile function 'quagld' to compute the
     nonexceedance probability. The function returns 0 or 1 if the 'x'
     argument is at or beyond the limits of the distribution as
     specified by the parameters.

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

     cdfgld(x, gldpara, paracheck)

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

       x: A real value.

 gldpara: The parameters from 'pargld' or similar.

paracheck: A logical switch as to whether the validity of the
          parameters should be checked. Default is 'paracheck=TRUE'.
          This switch is made so that the root solution needed for
          'cdfgld' exhibits an extreme speed increase because of the
          repeated calls to 'quagld'.

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

     Nonexceedance probability (F) for x.

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

     W.H. Asquith

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

     Karian, Z.A., and Dudewicz, E.J., 2000, Fitting statistical
     distributions-The generalized lambda distribution and generalized
     bootstrap methods:  CRC Press, Boca Raton, FL, 438 p.

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

     'quagld', 'lmomgld', 'pargld'

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

       P <- vec2par(c(123,340,0.4,0.654),type='gld')
       cdfgld(300,P)

