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<P ALIGN=RIGHT><FONT SIZE=+4>57</FONT><P>
Joshua B. Levy
Murad S. Taqqu
be a stationary stable process and let 
be the difference
between the joint characteristic function of 
and the product of
the characteristic functions of 
and 
. The function 
as 
is a measure of asymptotic dependence. We analyze the
behavior of 
as 
for various stable stochastic
processes.