hill                  package:evir                  R Documentation

_C_r_e_a_t_e _H_i_l_l _P_l_o_t

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

     Plot the Hill estimate of the tail index of heavy-tailed data, or
     of an associated quantile estimate.

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

     hill(data, option = c("alpha","xi","quantile"), start = 15,
         end = NA, reverse = FALSE, p = NA, ci = 0.95,
         auto.scale = TRUE, labels = TRUE, ...)

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

    data: data vector

  option: whether '"alpha"', '"xi"' (1/alpha) or '"quantile"' (a
          quantile estimate) should be plotted

   start: lowest number of order statistics at which to plot a point

     end: highest number of order statistics at which to plot a point

 reverse: whether plot is to be by increasing threshold ('TRUE') or
          increasing number of order statistics ('FALSE')

       p: probability required when option '"quantile"' is chosen

      ci: probability for asymptotic confidence band; for no confidence
          band set 'ci' to zero

auto.scale: whether or not plot should be automatically scaled; if not,
          'xlim' and 'ylim' graphical parameters may be entered

  labels: whether or not axes should be labelled

     ...: other graphics parameters

_D_e_t_a_i_l_s:

     This plot is usually calculated from the alpha perspective. For a
     generalized Pareto analysis of heavy-tailed data using the 'gpd'
     function, it helps to plot the Hill estimates for xi.

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

     'shape', 'quant'

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

     ## Not run: data(danish)
     ## Not run: hill(danish) 
     # Hill plot of heavy-tailed Danish fire insurance data 
     ## Not run: hill(danish, option = "quantile", end = 500, p = 0.999) 
     # Hill plot of estimated 0.999 quantile of Danish fire insurance data 

