Modeling of Acoustic Signal Energies with a Generalized Frank Copula. A Linguistic Conjecture is Reviewed

In this article a generalized Frank copula was selected to model the dependence between the energy on two frequency bands of the speech signal, coming from eight languages. An algorithm was developed that uses maximum likelihood to choose the best fitting copula's parameters. Through bootstrap,...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2014-05, Vol.43 (10-12), p.2034-2044
Main Authors: Garcia, Jesus E, Gonzalez-Lopez, V A
Format: Article
Language:English
Subjects:
Algorithms
Confidence
Confidence intervals
Copula model
Frequency bands
Linguistics
Mathematical models
Rhythmic classification
Speech
Speech signal
Statistics
Voronoi tessellation
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Summary:In this article a generalized Frank copula was selected to model the dependence between the energy on two frequency bands of the speech signal, coming from eight languages. An algorithm was developed that uses maximum likelihood to choose the best fitting copula's parameters. Through bootstrap, the algorithm estimates the variability of the parameters for each language and also computes confidence regions by means of Voronoi tesselations. A linguistic conjecture which claims that the languages are organized in three rhythmic classes, was confirmed by the Voronoi regions. Modeling with a uniparametric Frank copula, the different degrees of dependence between the energies were quantified.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2013.866248