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<head><title>Maximum likelihood estimator from correlation sums</title></head>
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<h3><a name="c2d"></a>Maximum likelihood estimator from correlation sums</h3>
<font color=blue><tt>c2t [-o </tt><em>outfile</em><tt> -V# -h] </tt><em> file</em>
</font>
<blockquote>
   <br>     <font color=blue><tt> -o  </tt></font><a href="../general.html#outfile" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#outfile">output file name</a>, just <font color=blue><tt> -o  </tt></font>means <font color=blue><em>file</em></font><font color=blue><tt>_t</tt></font>
   <br>     <font color=blue><tt> -V  </tt></font><a href="../general.html#verbosity" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#verbosity">verbosity level</a> (0 = only fatal errors)
   <br>     <font color=blue><tt> -h  </tt></font>show this message
</blockquote>
Reads two columns, r, c(r) from <font color=blue><em>file</em></font> 
(correlation integral output of 
<a href="c2naive.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/c2naive.html">c2naive</a>,
<a href="c1.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/c1.html">c1</a>,
or <a href="../dresden/d2.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/dresden/d2.html">d2</a>)
and computes a maximum likelihood estimator (<a href="../chaospaper/node31.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/chaospaper/node31.html">Takens' estimator</a>) 
<pre>

             C(r)
 D (r) = ------------
  T       /r    C(x)
          |  dx ----
          /0     x

</pre>
as a function of the upper cutoff length scale. The integral is computed from
the discrete values of C(r) by assuming an exact power law between the
available points. Output is to <font color=blue><tt>stdout</tt></font>, or to 
file <font color=blue><em>file</em><tt>_t</tt></font> if 
<font color=blue><tt> -o</tt></font> is given.
<p>
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