A Proof on Asymptotics of Wavelet Variance of a Long Memory Process by Using Taylor Expansion

Statistics – Other Statistics

Scientific paper

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Scientific paper

A long memory process has self-similarity or scale-invariant properties in
low frequencies. We prove that the log of the scale-dependent wavelet variance
for a long memory process is asymptotically proportional to scales by using the
Taylor expansion of wavelet variances.

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