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De Micco, L.; Larrondo, H.A.; Plastino, A.; Rosso, O.A. "Quantifiers for randomness of chaotic pseudo-random number generators" (2009) Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 367(1901):3281-3296
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Abstract:

We deal with randomness quantifiers and concentrate on their ability to discern the hallmark of chaos in time series used in connection with pseudo-random number generators (PRNGs). Workers in the field are motivated to use chaotic maps for generating PRNGs because of the simplicity of their implementation. Although there exist very efficient general-purpose benchmarks for testing PRNGs, we feel that the analysis provided here sheds additional didactic light on the importance of the main statistical characteristics of a chaotic map, namely (i) its invariant measure and (ii) the mixing constant. This is of help in answering two questions that arise in applications: (i) which is the best PRNG among the available ones? and (ii) if a given PRNG turns out not to be good enough and a randomization procedure must still be applied to it, which is the best applicable randomization procedure? Our answer provides a comparative analysis of several quantifiers advanced in the extant literature. © 2009 The Royal Society.

Registro:

Documento: Artículo
Título:Quantifiers for randomness of chaotic pseudo-random number generators
Autor:De Micco, L.; Larrondo, H.A.; Plastino, A.; Rosso, O.A.
Filiación:Departamentos de Física y de Ingeniería Electrónica, Facultad de Ingeniería, Universidad Nacional de Mar del Plata, Juan B. Justo 4302, 7600 Mar del Plata, Argentina
Instituto de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, CC 727, 1900 La Plata, Argentina
University of Newcastle, School of Electrical, Hunter Medical Research Institute, University Drive, Callaghan NSW 2308, Australia
Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Ciudad Universitaria, Buenos Aires, Argentina
Palabras clave:Excess entropy; Permutation entropy; Random number; Rate entropy; Recurrence plots; Statistical complexity; Chaotic systems; Entropy; Number theory; Time series; Excess entropy; Permutation entropy; Random number; Rate entropy; Recurrence plots; Statistical complexity; Random number generation; article; nonlinear system; time; Nonlinear Dynamics; Time Factors
Año:2009
Volumen:367
Número:1901
Página de inicio:3281
Página de fin:3296
DOI: http://dx.doi.org/10.1098/rsta.2009.0075
Título revista:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Título revista abreviado:Philos. Trans. R. Soc. A Math. Phys. Eng. Sci.
ISSN:1364503X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_1364503X_v367_n1901_p3281_DeMicco.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1364503X_v367_n1901_p3281_DeMicco

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Citas:

---------- APA ----------
De Micco, L., Larrondo, H.A., Plastino, A. & Rosso, O.A. (2009) . Quantifiers for randomness of chaotic pseudo-random number generators. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367(1901), 3281-3296.
http://dx.doi.org/10.1098/rsta.2009.0075
---------- CHICAGO ----------
De Micco, L., Larrondo, H.A., Plastino, A., Rosso, O.A. "Quantifiers for randomness of chaotic pseudo-random number generators" . Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367, no. 1901 (2009) : 3281-3296.
http://dx.doi.org/10.1098/rsta.2009.0075
---------- MLA ----------
De Micco, L., Larrondo, H.A., Plastino, A., Rosso, O.A. "Quantifiers for randomness of chaotic pseudo-random number generators" . Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 367, no. 1901, 2009, pp. 3281-3296.
http://dx.doi.org/10.1098/rsta.2009.0075
---------- VANCOUVER ----------
De Micco, L., Larrondo, H.A., Plastino, A., Rosso, O.A. Quantifiers for randomness of chaotic pseudo-random number generators. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 2009;367(1901):3281-3296.
http://dx.doi.org/10.1098/rsta.2009.0075