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Quantization of long memory processes
Long-memory processes Round-off error Measurement error Log-periodogram regression Detrended fluctuation analysis Hermite polynomials
2011/10/9
Abstract: We study how quantization, occurring when a continuously varying process is approximated by or observed on a grid of discrete values, changes the properties of a Gaussian long-memory process...
An efficient estimator for locally stationary Gaussian long-memory processes
efficient estimator Gaussian long-memory processes
2010/11/18
This paper addresses the estimation of locally stationary long-range dependent processes, a methodology that allows the statistical analysis of time series data exhibiting both nonstationarity and str...
Modeling long-memory processes by stochastic difference equations and superstatistical approach
1= f noise q-distributions Point processes Power-law distributions Nonlinear stochastic equations
2010/7/5
It is shown that the Poissonian-like process with slowly diffusing-like time-dependent average interevent time may be represented as the superstatistical one and exhibits 1= f noise. The distribution ...
Long-memory processes in ozone and temperature variations at the region 60° S–60° N
Long-memory processes ozone temperature variations
2009/1/15
Global column ozone and tropospheric temperature observations made by ground-based (1964–2004) and satellite-borne (1978–2004) instrumentation are analyzed. Ozone and temperature fluctuations in small...