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<H1>A noncentral limit theorem for quadratic forms of Gaussian stationary
 sequences</H1>
<P><STRONG>Norma Terrin
<BR> Murad S. Taqqu</STRONG><P>
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<H3>Abstract:</H3>
<EM>We examine the limit behavior of quadratic forms of stationary Gaussian 
sequences with long-range dependence. The matrix which characterizes the 
quadratic form is Toeplitz and the Fourier transform of its entries is a 
regularly varying function at the origin. The spectral density of the 
stationary sequence is also regularly varying at the origin. We show that the normalized quadratic form converges in <IMG  ALIGN=MIDDLE ALT="" SRC="img1.gif"> to a new type of 
non-Gaussian self-similar process which can be represented as a Wiener-It&#244;
 integral on <IMG  ALIGN=BOTTOM ALT="" SRC="img2.gif">.
</EM><P>


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