The bistability of higher-order differences of discrete periodic signals
Advances in Differential Equations, 2014 A theorem on higher-order absolute differences taken from successive terms of bounded sequences is proved. This theorem establishes the property of bistability of such difference series and suggests a method for converting periodic discrete-time signals ...
AY Shahverdian, R. Agarwal, RB Benosman
semanticscholar +1 more source
Some ideas on nonlinear musical analysis
, 2013 In this article we use time series analysis methods such as recurrence quantification analysis, estimation of the correlation dimension and Liapunov exponents to study three different musical compositions.
R. Colucci, G. Chacón
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Recursiveness in Hilbert spaces and application to mixed $ARMA(p,q)$ process
, 2014 In this paper, the gap between the nonhomogeneous linear recurrence relation and the mixed ARMA(p; q) process in Hilbert spaces is provided. We focus ourselves on the case when the ARMA(p; q) process is of Fibonacci type. Notably, involving properties of
R. Bentaher, M. Rachidi, M. Samih
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Kernel estimates of nonparametric functional autoregression models and their bootstrap approximation
, 2017 This paper considers a nonparametric functional autoregression model of order one. Existing contributions addressing the problem of functional time series prediction have focused on the linear model and literatures are rather lacking in the context of ...
Ting-Yi Zhu, D. Politis
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A hybrid method for accurate offset detection in GNSS time series
Journal of Geodetic ScienceThis study addresses the crucial detection of offsets in GNSS time series for accurate velocity estimations, vital in geosciences and engineering. Existing methods are challenged by correlated noise and can suffer from over-segmentation or high false ...
Arias-Gallegos Alejandro +2 more
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ISSN 1068-9613. FRACTAL TRIGONOMETRIC APPROXIMATION
, 2008 . A general procedure to define nonsmooth fractal versions of classical trigonometric approximants is proposed. The systems of trigonometric polynomials in the space of continuous and periodic functions ¢¤£¦¥¨§ © are extended to bases of fractal ...
M. A. Navascues
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Nonlinear Cointegration and Nonlinear Error Correction: Record Counting Cointegration Tests. [PDF]
In this article we propose a record counting cointegration (RCC) test that is robust to nonlinearities and certain types of structural breaks. The RCC test is based on the synchronicity property of the jumps (new records) of cointegrated series, counting
Sipols, Ana E. +2 more
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SPARSE TIME FREQUENCY REPRESENTATIONS AND DYNAMICAL SYSTEMS∗
, 2015 Dedicated to George Papanicolaou on the occasion of his 70th birthday Abstract. In this paper, we establish a connection between the recently developed data-driven time-frequency analysis [T.Y. Hou and Z. Shi, Advances in Adaptive Data Analysis, 3, 1–28,
Thomas Y. Hou +2 more
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Mathematical analysis of a cancer model with time-delay in tumor-immune interaction and stimulation processes. [PDF]
Adv Differ Equ, 2021 Dehingia K +3 more
europepmc +1 more source
Clustering Patterns Connecting COVID-19 Dynamics and Human Mobility Using Optimal Transport. [PDF]
Sankhya B (2008), 2021 Nielsen F, Marti G, Ray S, Pyne S.
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