Abstract:
We undertake a model-free investigation of stochastic processes employing q-wavelet based quantifiers, that constitute a generalization of their Shannon counterparts. It is shown that (i) interesting physical information becomes accessible in such a way, (ii) for special q values the quantifiers are more sensitive than the Shannon ones and (iii) there exist an implicit relationship between the Hurst parameter H and q within this wavelet framework. © 2006 Elsevier B.V. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Model-free stochastic processes studied with q-wavelet-based informational tools |
Autor: | Pérez, D.G.; Zunino, L.; Martín, M.T.; Garavaglia, M.; Plastino, A.; Rosso, O.A. |
Filiación: | Instituto de Física, Pontificia Universidad Católica de Valparaíso (PUCV), 23-40025 Valparaíso, Chile Centro de Investigaciones Ópticas, C.C. 124 Correo Central, 1900 La Plata, Argentina Departamento de Ciencias Básicas, Facultad de Ingeniería, Universidad Nacional de La Plata (UNLP), 1900 La Plata, Argentina Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, 1900 La Plata, Argentina Instituto de Física (IFLP), Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, Argentina Chaos and Biology Group, Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Pabellon II, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina
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Palabras clave: | Fractional Brownian motion; Fractional Gaussian noise; Self-similar Gaussian stochastic processes; Wavelet analysis; Wavelet q-entropy; Wavelet q-statistical complexity |
Año: | 2007
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Volumen: | 364
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Número: | 3-4
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Página de inicio: | 259
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Página de fin: | 266
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DOI: |
http://dx.doi.org/10.1016/j.physleta.2006.12.012 |
Título revista: | Physics Letters, Section A: General, Atomic and Solid State Physics
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Título revista abreviado: | Phys Lett Sect A Gen At Solid State Phys
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ISSN: | 03759601
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CODEN: | PYLAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v364_n3-4_p259_Perez |
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Citas:
---------- APA ----------
Pérez, D.G., Zunino, L., Martín, M.T., Garavaglia, M., Plastino, A. & Rosso, O.A.
(2007)
. Model-free stochastic processes studied with q-wavelet-based informational tools. Physics Letters, Section A: General, Atomic and Solid State Physics, 364(3-4), 259-266.
http://dx.doi.org/10.1016/j.physleta.2006.12.012---------- CHICAGO ----------
Pérez, D.G., Zunino, L., Martín, M.T., Garavaglia, M., Plastino, A., Rosso, O.A.
"Model-free stochastic processes studied with q-wavelet-based informational tools"
. Physics Letters, Section A: General, Atomic and Solid State Physics 364, no. 3-4
(2007) : 259-266.
http://dx.doi.org/10.1016/j.physleta.2006.12.012---------- MLA ----------
Pérez, D.G., Zunino, L., Martín, M.T., Garavaglia, M., Plastino, A., Rosso, O.A.
"Model-free stochastic processes studied with q-wavelet-based informational tools"
. Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 364, no. 3-4, 2007, pp. 259-266.
http://dx.doi.org/10.1016/j.physleta.2006.12.012---------- VANCOUVER ----------
Pérez, D.G., Zunino, L., Martín, M.T., Garavaglia, M., Plastino, A., Rosso, O.A. Model-free stochastic processes studied with q-wavelet-based informational tools. Phys Lett Sect A Gen At Solid State Phys. 2007;364(3-4):259-266.
http://dx.doi.org/10.1016/j.physleta.2006.12.012