cdfkap                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 _K_a_p_p_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 Kappa distribution given parameters (xi, alpha,
     and kappa, h) of the distribution computed by 'parkap'. The
     cumulative distribution function of the distribution is


   F(x) = (1-h(1-frac{kappa(x-xi)}{alpha})^{1/kappa})^{1/h} mbox{,}


     where F(x) is the nonexceedance probability for quantile x, xi is
     a location parameter, alpha is a scale parameter, kappa is a shape
     parameter, and h is another shape parameter.

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

     cdfkap(x, para)

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

       x: A real value.

    para: The parameters from 'parkap' or similar.

_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:

     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.

     Hosking, J.R.M., 1996, FORTRAN routines for use with the method of
     L-moments: Version 3, IBM Research Report RC20525, T.J. Watson
     Research Center, Yorktown Heights, New York.

     Hosking, J.R.M. and Wallis, J.R., 1997, Regional frequency
     analysis-An approach based on L-moments: Cambridge University
     Press.

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

     'quakap', 'parkap'

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

       lmr <- lmom.ub(c(123,34,4,654,37,78,21,32,231,23))
       cdfkap(50,parkap(lmr))

