determine non-linear correlation

correlation by definition is a linear measure of assocation. So what is the presice definition of non-linear correlation?
can you give the thesis......I am curious to know....
 Kaushik Bhattacharjee




________________________________
 From: Mark Breman <m.breman at yahoo.com>
To: r-sig-finance at stat.math.ethz.ch
Sent: Thursday, June 4, 2009 12:45:17 AM
Subject: [R-SIG-Finance] determine non-linear correlation

I would like to know if two financial time-series are nonlinear correlated, and if so, what that correlation function is.
Is there an easy way to do this with R?

I have read a thesis about the "high order correlation coefficient to solve the nonlinear correlation problem" but I'm not able to translate this into a solution for my problem. All these statistics are very interesting but also challenging for me...  

Kind regards,

-Mark-


      
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