Hello All, I would like to use the output of a random number generator to pipe into a script that will produce three types of kernel estimates. Uniform, Triangular, Epanechnikov. I believe that there is a module in CPAN for Epanechnikov, but I would need to produce the other two manually. Seems that I am not only inferior in PERL but also in math because I cannot for the life of me figure out how to replicate the formulas in PERL: http://en.wikipedia.org/wiki/Kernel_(statistics) My code for the number generator is below. Random number generator: 
#!/usr/bin/perl -w

use strict ;

my $samplesize = $ARGV[0] ;
my $max        = $ARGV[1] ;

chomp(my $prog = `basename $0`) ;

if ($#ARGV < 1)
{
  print "\nUsage: ./randomnumber.pl <samplesize> <max num>\n" ;
  exit ;
}


for (my $i = 0; $i<$samplesize; $i++)
{
  my $range = $max ;
  my $random_number = int(rand($range)) - $max/2;
  print "$random_number \n";
}

[download]
I do not have any real code for the kernel as I am somewhat lost in even starting out. 
#!/usr/bin/perl -w
use strict ;

my $tria ;
my $epan ;
my $unif ;

while ( <STDIN> ) {
   my @line= split  ;
   my $point = $line[0] ;
   $tria = 1-abs($point) ;
#abs($point)<=1 ? $tria = 1-abs($point) : $tria = 0 ;
   $epan = .75*(1-$point*$point) ;
#abs($point)<=1 ? $epan = .75*(1-$point*$point) : $epan = 0 ;
   $unif = .5 ;
#abs($point)<=1 ? $unif = .5 : $unif = 0 ;
   print "$point $tria $epan $unif\n" ;
}

[download]
Thanks ahead for your help.

In reply to Kernel Density Estimation by cmr72

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