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R Development Core Team, “R: A Language and Environment for Statistical Computing,” R Foundation for Statistical Computing, Vienna, 2008. http://www.R-project.org

has been cited by the following article:

  • TITLE: Advancing the Backtrack Optimization Technique to Obtain Forecasts of Potential Crisis Periods

    AUTHORS: E. G. Lisgara, G. I. Karolidis, G. S. Androulakis

    KEYWORDS: Financial Crisis Alert; Entrapping Method; Local Lipschitz Constant

    JOURNAL NAME: Applied Mathematics, Vol.3 No.10A, November 1, 2012

    ABSTRACT: Financial crisis is an unfortunate reality that overshadows any financial system regardless its profitability and the level it functions. The appearance of crises across financial markets, especially during the 1990s that the internationalized markets adopted a rather approachable character, imposed severe costs in financial and social systems. With this paper is proposed the generation of a future interval of time that is vulnerable to enclose the burst of a financial crisis. A time series consisted of approximations of the local Lipschitz constant is examined and in the proposed forecasting approach this constant holds the crisis indicator role. Further the application of two different optimization techniques over the Lipschitz-made time series results to the generation of a future period of time; this interval is likely to envelop the burst of a forthcoming crisis. The usage of a future interval of time empowers the predicting ability of the methodology by providing warning signs priory to the actual crisis burst. To this direction, the obtained results offer strong evidence that the method may be characterized as an Early Warning System (EWS) for financial crisis prediction.