gbker - Produce kernel density estimation

       Written by Giulio Bottazzi

       Copyright © 2001-2018 Giulio Bottazzi This program is free  software;  you  can  redistribute  it  and/or
       modify it under the terms of the GNU General Public License (version 2) as published by the Free Software
       Foundation;

       This  program  is  distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even
       the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General  Public
       License for more details.

gbker 6.2                                           June 2021                                           GBKER(1)

       Compute  the  kernel  density  estimation  on  an equispaced grid. Data are read from standard input. The
       kernel bandwidth, if not provided with the option -H,  is  set  automatically  using  simple  heuristics.
       Normally  the  whole  support  is  displayed.  The  option  -w can be used to restrict the computation to
       specific range of values. The method used to compute the density is set by the option -M.  The boundaries
       of the grid are slightly different in the different cases.

       gbker -n 128 -K 2 < file
              use a Gaussian kernel to compute the density on 128 equispaced points with the FFT  approach.  All
              the data in 'file' are used, multiple columns are pooled.

       gbker -K 3 -M 2 < file
              use  a  Laplacian  kernel  to  compute  the density on 64 points.  The method used is the explicit
              summation.

       gbker - Produce kernel density estimation

-n     number of equispaced points/bins where the density is computed (default 64)

       -w     set the grid boundaries with min,max (default whole support)

       -H     set the kernel bandwidth

       -S     scale the automatic kernel bandwidth

       -K     choose the kernel to use  (default 0)

       0      Epanenchnikov

       1      Rectangular

       2      Gaussian

       3      Laplacian

       -M     choose the method for density computation (default 0)

       0      use FFT (# grid points rounded to nearest power of 2)

       1      use discrete convolution (compact kernels only; bins>2)

       2      explicit summation (boundaries excluded)

       -F     specify the input fields separators (default " \t")

       Report bugs to <gbutils@googlegroups.com>

       Package home page <http://cafim.sssup.it/~giulio/software/gbutils/index.html>

gbker [options]