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Related papers: Magnitude and Sign Correlations in Heartbeat Fluct…

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We study correlation properties of the magnitude and the sign of the increments in the time intervals between successive heartbeats during light sleep, deep sleep, and REM sleep using the detrended fluctuation analysis method. We find…

The correlation properties of the magnitudes of a time series (sometimes called volatility) are associated with nonlinear and multifractal properties and have been applied in a great variety of fields. Here, we have obtained analytically…

Biological Physics · Physics 2017-09-27 Pedro A. Bernaola-Galvan , Manuel Gomez-Extremera , A. Ramon Romance , Pedro Carpena

The cardiac interbeat (RR) increment time series can be decomposed into two sub-sequences: a magnitude series and a sign series. We show that the sign sequence, a simple binary representation of the original RR series, retains fundamental…

Statistical Mechanics · Physics 2007-05-23 Y. Ashkenazy , P. Ch. Ivanov , S. Havlin , C. -K. Peng , Y. Yamamoto , A. L. Goldberger , H. E. Stanley

We introduce a segmentation algorithm to probe temporal organization of heterogeneities in human heartbeat interval time series. We find that the lengths of segments with different local values of heart rates follow a power-law…

In this paper, high frequency wind time series measured at different heights from the ground (from 5.5 to 25.5 meters) in an urban area were investigated. The spectrum of each series is characterized by a power-law behaviour at low…

Applications · Statistics 2019-06-17 Luciano Telesca , Mohamed Laib , Fabian Guignard , Dasaraden Mauree , Mikhail Kanevski

Many physical and physiological signals exhibit complex scale-invariant features characterized by $1/f$ scaling and long-range power-law correlations, suggesting a possibly common control mechanism. Specifically, it has been suggested that…

Previous studies indicate that nonlinear properties of Gaussian time series with long-range correlations, $u_i$, can be detected and quantified by studying the correlations in the magnitude series $|u_i|$, i.e., the ``volatility''. However,…

Statistical Mechanics · Physics 2009-11-10 Tomer Kalisky , Yosef Ashkenazy , Shlomo Havlin

Human heart rate fluctuates in a complex and non-stationary manner. Elaborating efficient and adequate tools for the analysis of such signals has been a great challenge for the researchers during last decades. Here, an overview of the main…

Medical Physics · Physics 2007-05-23 J. Kalda , M. Sakki , M. Vainu , M. Laan

We study the heartbeat activity of healthy individuals at rest and during exercise. We focus on correlation properties of the intervals formed by successive peaks in the pulse wave and find significant scaling differences between rest and…

Statistical Mechanics · Physics 2009-11-07 Roman Karasik , Nir Sapir , Yosef Ashkenazy , Plamen Ch. Ivanov , Itzhak Dvir , Peretz Lavie , Shlomo Havlin

We study the correlation properties of long-range correlated time series, $x_i$, with tunable correlation exponent and built-in multifractal properties. For the cases we investigate we find that the correlation exponent of the magnitude…

Scaling analysis of the magnitude series (volatile series) has been proposed recently to identify possible nonlinear/multifractal signatures in the given data [1-3]. In this letter, correlations of volatile series generated from stationary…

Statistical Mechanics · Physics 2007-05-23 Radhakrishnan Nagarajan

We present the multiscale entropy analysis of short term physiological time series of simultaneously acquired samples of heart rate, blood pressure and lung volume, from healthy subjects and from subjects with Chronic Heart Failure.…

Medical Physics · Physics 2007-05-23 L. Angelini , R. Maestri , D. Marinazzo , L. Nitti , M. Pellicoro , G. D. Pinna , S. Stramaglia , S. A. Tupputi

We analize heartbeat time-series corresponding to several groups of individuals (healthy, heart transplanted, with congestive heart failure (CHF), after myocardial infarction (MI), hypertensive), looking for short- and long-time statistical…

Soft Condensed Matter · Physics 2007-05-23 Paolo Allegrini , Rita Balocchi , Santi Chillemi , Paolo Grigolini , Luigi Palatella , Giacomo Raffaelli

Correlations in multifractal series have been investigated, extensively. Almost all approaches try to find scaling features of a given time series. However, the analysis of such scaling properties has some difficulties such as finding a…

Data Analysis, Statistics and Probability · Physics 2020-02-03 Pouya Manshour

The heart beat data recorded from samples before and during meditation are analyzed using two different scaling analysis methods. These analyses revealed that mediation severely affects the long range correlation of heart beat of a normal…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. Sarkar , P. Barat

It is shown that in the case of human heart rate, the scaling behaviour of the correlation sum (calculated by the Grassberger-Procaccia algorithm) is a result of the interplay of various factors: finite resolution of the apparatus…

Medical Physics · Physics 2007-05-23 M. Sakki , J. Kalda , M. Vainu , M. Laan

Research into time series classification has tended to focus on the case of series of uniform length. However, it is common for real-world time series data to have unequal lengths. Differing time series lengths may arise from a number of…

Machine Learning · Computer Science 2019-10-11 Chang Wei Tan , Francois Petitjean , Eamonn Keogh , Geoffrey I. Webb

We focus on various measures of the fluctuations of the sequence of intervals between beats of the human heart, and how such fluctuations can be used to assess the presence or likelihood of cardiovascular disease. We examine sixteen such…

Biological Physics · Physics 2016-09-08 Malvin C. Teich , Steven B. Lowen , Bradley M. Jost , Karin Vibe-Rheymer , Conor Heneghan

Fluctuations of the human heart beat constitute a complex system that has been studied mostly under resting conditions using conventional time series analysis methods. During physical exercise, the variability of the fluctuations is…

Data Analysis, Statistics and Probability · Physics 2020-08-13 Matti Molkkari , Giorgio Angelotti , Thorsten Emig , Esa Räsänen

We investigate the random walk of prices by developing a simple model relating the properties of the signs and absolute values of individual price changes to the diffusion rate (volatility) of prices at longer time scales. We show that this…

Statistical Finance · Quantitative Finance 2009-11-13 Gabriele La Spada , J. Doyne Farmer , Fabrizio Lillo
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