Statistical Tests of Symbolic Dynamics

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 an...

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Bibliographic Details
Published in:Mathematics (Basel) 2021-04, Vol.9 (8), p.817
Main Authors: López, Fernando, Matilla-García, Mariano, Mur, Jesús, Ruiz Marín, Manuel
Format: Article
Language:English
Subjects:
Dynamical systems
Econometrics
Economics
Entropy
Hypotheses
Information theory
Mathematics
Null hypothesis
Power
Random variables
Statistical tests
symbolic dynamics
test hypothesis
Time series
time series analysis
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9080817