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Original Articles

Some results about randomized binary Markov chains: theory, computing and applications

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Pages 141-156 | Received 30 Sep 2017, Accepted 08 Feb 2018, Published online: 22 Feb 2018

References

  • M. Abramowitz and I.A. Stegun (eds.), Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1972.
  • E. Behrends, Introduction to Markov Chains: With Special Emphasis on Rapid Mixing, Advanced Lectures in Mathematics, Vieweg+Teubner Verlag, Berlin, 2000.
  • M.C. Casabán, J.C. Cortés, J.V. Romero, and M.D. Roselló, Determining the first probability density function of linear random initial value problems by the Random Variable Transformation (RVT) technique: A comprehensive study, Abstr. Appl. Anal. 2014 (2014), Article ID 248512, 1–25. doi: 10.1155/2014/248512
  • B. Chen-Charpentier and D. Stanescu, Biofilm growth on medical implants with randomness, Math. Comput. Model. 54 (2011), pp. 1682–1686. doi: 10.1016/j.mcm.2010.11.075
  • B. Chen-Charpentier and D. Stanescu, Parameter estimation using polynomial chaos and maximum likelihood, Int. J. Comput. Math. 91 (2014), pp. 336–346. doi: 10.1080/00207160.2013.809069
  • CNMC, Comisión Nacional de los Mercados y la Competencia. Available at http://data.cnmc.es/datagraph/jsp/inf_anual.jsp (accessed 25 September 2017).
  • J.C. Cortés, A. Navarro-Quiles, J.V. Romero, and M.D. Roselló, Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems, Appl. Math. Lett. 68 (2017), pp. 150–156. doi: 10.1016/j.aml.2016.12.015
  • J.C. Cortés, A. Navarro-Quiles, J.V. Romero, and M.D. Roselló, Randomizing the parameters of a Markov chain to model the stroke disease: A technical generalization of established computational methodologies towards improving real applications, J. Comput. Appl. Math. 324 (2017), pp. 225–240. doi: 10.1016/j.cam.2017.04.040
  • F. Dorini, M. Cecconello, and L.B. Dorini, On the logistic equation subject to uncertainties in the environmental carrying capacity and initial population density, Commun. Nonlinear Sci. Numer. Simul. 33 (2016), pp. 160–173. doi: 10.1016/j.cnsns.2015.09.009
  • A. Hussein and M.M. Selim, Solution of the stochastic radiative transfer equation with Rayleigh scattering using RVT technique, Appl. Math. Comput. 218 (2012), pp. 7193–7203. doi: 10.1016/j.amc.2011.12.088
  • S. Kindermann and Š. Papáček, On data space selection and data processing for parameter identification in a reaction–diffusion model based on FRAP experiments, Abstr. Appl. Anal. 2015 (2015), Article ID 859849, pp. 1–17. doi: 10.1155/2015/859849
  • J. Mar, F. Antoñanzas, R. Pradas, and A. Arrospide, Los modelos de Markov probabilísticos en la evaluación económica de tecnologías sanitarias: una guía práctica, Gac. Sanit. 24 (2010), pp. 209–214. doi: 10.1016/j.gaceta.2010.02.006
  • L.T. Santos, F.A. Dorini, and M.C.C. Cunha, The probability density function to the random linear transport equation, Appl. Math. Comput. 216 (2010), pp. 1524–1530. DOI:10.1016/j.amc.2010.03.001
  • B. Sericola, Markov Chains: Theory, Algorithms and Applications, Applied Stochastic Methods Series, ISTE Ltd, London, 2013.
  • T.T. Soong, Random Differential Equations in Science and Engineering, Academic Press, New York, 1973.
  • Wolfram Research, Inc., Mathematica, 2017. Version 11.2, Champaign, IL.

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