Abstract:
A Statistical Complexity measure has been recently proposed to quantify the performance of chaotic Pseudorandom number generators (PRNG) (Physica A 354 (2005) 281). Here we revisit this quantifier and introduce two important improvements: (i) consideration of an intensive statistical complexity (Physica A 334 (2004) 119), and (ii) following the prescription of Brand and Pompe (Phys. Rev. Lett. 88 (2002) 174102-1) in evaluating the probability distribution associated with the PRNG. The ensuing new measure is applied to a very well-tested PRNG advanced by Marsaglia. © 2005 Elsevier B.V. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Intensive statistical complexity measure of pseudorandom number generators |
Autor: | Larrondo, H.A.; González, C.M.; Martín, M.T.; Plastino, A.; Rosso, O.A. |
Filiación: | Facultad de Ingeniería, Universidad Nacional de Mar del Plata, Juan B. Justo 4302, 7600 Mar del Plata, Argentina Instituto de Física, Universidad Nacional de la Plata, C.C. 727, 1900 La Plata, Argentina Instituto de Cálculo, FCEyN, Ciudad Universitaria, 1428 Ciudad de Buenos Aires, Argentina
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Palabras clave: | Random number generators; Statistical complexity; Computational complexity; Evaluation; Mathematical techniques; Probability density function; Statistical methods; Intensive statistical complexity; Prescription; Random number generators; Statistical complexity; Random number generation |
Año: | 2005
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Volumen: | 356
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Número: | 1
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Página de inicio: | 133
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Página de fin: | 138
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DOI: |
http://dx.doi.org/10.1016/j.physa.2005.05.025 |
Título revista: | Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04)
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Título revista abreviado: | Phys A Stat Mech Appl
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ISSN: | 03784371
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CODEN: | PHYAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v356_n1_p133_Larrondo |
Referencias:
- http://cgm.cs.mcgill.ca/~luc/rng.html; Marsaglia, G., Diehard Statistical Tests, , http://stat.fsu.edu/~geo/diehard.html
- Shiner, J.S., Davison, M., Landsberg, P.T., (1999) Phys. Rev. e, 59, p. 1459
- López-Ruiz, R., Mancini, H.L., Calbet, X., (1995) Phys. Lett. A, 209, p. 321
- Martin, M.T., Plastino, A., Rosso, O.A., (2003) Phys. Lett. A, 311, p. 126
- González, C.M., Larrondo, H.A., Rosso, O.A., (2005) Phys. A, 354, p. 281
- Lamberti, P.W., Martin, M.T., Plastino, A., Rosso, O.A., (2004) Phys. A, 334, p. 119
- Brandt, C., Pompe, B., (2002) Phys. Rev. Lett., 88, pp. 174102-1741021
- Keller, K., Lauffer, H., (2003) Int. J. Bifurcation Chaos, 13, p. 2657
Citas:
---------- APA ----------
Larrondo, H.A., González, C.M., Martín, M.T., Plastino, A. & Rosso, O.A.
(2005)
. Intensive statistical complexity measure of pseudorandom number generators. Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04), 356(1), 133-138.
http://dx.doi.org/10.1016/j.physa.2005.05.025---------- CHICAGO ----------
Larrondo, H.A., González, C.M., Martín, M.T., Plastino, A., Rosso, O.A.
"Intensive statistical complexity measure of pseudorandom number generators"
. Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04) 356, no. 1
(2005) : 133-138.
http://dx.doi.org/10.1016/j.physa.2005.05.025---------- MLA ----------
Larrondo, H.A., González, C.M., Martín, M.T., Plastino, A., Rosso, O.A.
"Intensive statistical complexity measure of pseudorandom number generators"
. Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04), vol. 356, no. 1, 2005, pp. 133-138.
http://dx.doi.org/10.1016/j.physa.2005.05.025---------- VANCOUVER ----------
Larrondo, H.A., González, C.M., Martín, M.T., Plastino, A., Rosso, O.A. Intensive statistical complexity measure of pseudorandom number generators. Phys A Stat Mech Appl. 2005;356(1):133-138.
http://dx.doi.org/10.1016/j.physa.2005.05.025