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Fractional iterated Ornstein-Uhlenbeck Processes
(Institute of Mathematical Statistics, 2019)
We present a Gaussian process that arises from the iteration of p fractional Ornstein–Uhlenbeck processes generated by the same fractional Brownian motion. When the values of the parameters defining the iteration are ...
Estimation of seasonal fractionally integrated processes
(ELSEVIER SCIENCE BV, 2006)
This paper discusses the estimation of fractionally integrated processes with seasonal components. In order to estimate the fractional parameters, we propose several estimators obtained from the regression of the log-periodogram ...
Fractionally integrated processes of Ornstein-Uhlenbeck type
(Pontificia Universidad Católica del PerúPE, 2017)
A synthesis of a 1/f process via Sobolev spaces and fractional integration
(Institute of Electrical and Electronics Engineers, 2005-12)
We provide an almost sure convergent expansion of a process with power law of fractional order by means of some known theorems from harmonic analysis and simple probability theory results.
Control of a grinding mill circuit using fractional order controllers
(Elsevier, 2017)
This paper presents the design and application of fractional single-input–single-output (SISO) controllers to a grinding mill circuit, which is a multiple-input–multiple-output (MIMO) process. Two kinds of controllers are ...
Chia (Salvia hispanica) protein fractions: characterization and emulsifying properties
(Springer, 2019-12)
A material with a high content of fibers and proteins is generated as a by-product of the chia oil extraction process. A strategy to add value to this by-product is to evaluate its possible use as a food ingredient. Thus, ...
Convergence of p-stable random fractional wavelet series and some of Its properties
(Institute of Electrical and Electronics Engineers, 2020-09)
For appropriate orthonormal wavelet basis {ψ^e_jk} j∈Zk∈Z^de∈{0,1}^d, constants p and γ , if I_γ denotes the Riesz fractional integral operator of order γ and (ηjke)j∈Zk∈Z^de∈{0,1}^d a sequence of independent identically ...