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The long memory behavior of gold returns is unstable (Cheung and Lai, 1993).
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The model is able to simultaneously approximate long memory behavior, as well as describe sign and size asymmetries.
Our results indicate that both the long memory and asymmetric behavior characterize the conditional volatility of oil and stock market returns.
The shape memory behavior of the nanocomposites has also been investigated.
Anisotropic anomalous diffusive behaviors of the proposed model emerge from the long memory among step lengths, standing in contrast to little tangling diffusive trajectories of correlated random walk models, designed directly through the relative turning angles.
This develops a method of the long memory estimates for the volatilities series.
Diverse and gene-specific mechanisms regulate transcription memory behavior of dehydration stress genes even for genes belonging in the same memory category [ 37].
The above analysis of fractal behaviors show that the long-memory exists in returns, and these time series are persistent with the maintenance of tendency.
We demonstrate how this method can be used to predict the long-time behavior of nonautonomous fractional differential equations by studying the anomalous diffusion process arising from a mixture of renewal and memory sources.
With this advantage, in many eco-economical systems and diffusive processes with long time memory behavior [2, 3, 15, 39], fractional calculus provides an excellent tool to describe the hereditary properties of them.
He has a long memory for the cuts of snobbery.
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