Abstract:In various theoretical research and engineering, the long memory processes are widely found and studied in many applications. Maximum likelihood Estimation is usually used to capture the relevant parameters, but it can't be utilized broadly because of the huge burden of computability. In this paper, we firstly use discrete wavelet transform to analyze stochastic processes of time series scale-by-scale, then study the variance and statistical properties of the series over a range of different scales. Subsequent… Show more
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