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Statistical Tests of Symbolic Dynamics

Author

Listed:
  • Fernando López

    (Departamento de Métodos Cuantitativos, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain
    These authors contributed equally to this work.)

  • Mariano Matilla-García

    (Departamento de Economía Aplicada y Estadística, Universidad Nacional de Educación a Distancia (UNED), 28040 Madrid, Spain
    These authors contributed equally to this work.)

  • Jesús Mur

    (Departamento de Análisis Económico, Universidad de Zaragoza, 50018 Zaragoza, Spain
    These authors contributed equally to this work.)

  • Manuel Ruiz Marín

    (Departamento de Métodos Cuantitativos, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain
    These authors contributed equally to this work.)

Abstract

A novel general method for constructing nonparametric hypotheses tests based on the field of symbolic analysis is introduced in this paper. Several existing tests based on symbolic entropy that have been used for testing central hypotheses in several branches of science (particularly in economics and statistics) are particular cases of this general approach. This family of symbolic tests uses few assumptions, which increases the general applicability of any symbolic-based test. Additionally, as a theoretical application of this method, we construct and put forward four new statistics to test for the null hypothesis of spatiotemporal independence. There are very few tests in the specialized literature in this regard. The new tests were evaluated with the mean of several Monte Carlo experiments. The results highlight the outstanding performance of the proposed test.

Suggested Citation

  • Fernando López & Mariano Matilla-García & Jesús Mur & Manuel Ruiz Marín, 2021. "Statistical Tests of Symbolic Dynamics," Mathematics, MDPI, vol. 9(8), pages 1-21, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:817-:d:532936
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    References listed on IDEAS

    as
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