cdfnor                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 _N_o_r_m_a_l _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 Normal distribution given parameters of the
     distribution computed by 'parnor'.  The cumulative distribution
     function of the distribution is


                    F(x) = Phi(x-mu/sigma) mbox{,}


     where F(x) is the nonexceedance probability for quantile x, mu is
     the arithmetic mean, and sigma is the standard deviation, and Phi
     is the cumulative distribution function of the standard normal
     distribution. The R-function 'pnorm' is used.

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

     cdfnor(x, para)

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

       x: A real value.

    para: The parameters from 'parnor' 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:

     'quanor', 'parnor'

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

       lmr <- lmom.ub(c(123,34,4,654,37,78))
       cdfnor(50,parnor(lmr))

