quaglo                package:lmomco                R Documentation

_Q_u_a_n_t_i_l_e _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_o_g_i_s_t_i_c _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 quantiles of the Generalized Logistic
     distribution given parameters (xi, alpha, and kappa) of the
     distribution computed by 'parglo'. The quantile function of the
     distribution is


 x(F) = xi + frac{alpha}{kappa}(1-(frac{1-F}{F})^kappa) mbox{ for } kappa ne 0 mbox{ and}



 x(F) = xi - alphalog{(frac{1-F}{F})} mbox{ for } kappa = 0 mbox{,}


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

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

     quaglo(f, para)

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

       f: Nonexceedance probability (0 <= F <= 1).

    para: The parameters from 'parglo' or similar.

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

     Quantile value for for nonexceedance probability F.

_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:

     'cdfglo', 'parglo'

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

       lmr <- lmom.ub(c(123,34,4,654,37,78))
       quaglo(0.5,parglo(lmr))

