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On the Validity of Detrended Fluctuation Analysis at Short Scales

Pedro Carpena, Manuel Gómez-Extremera, Pedro A. Bernaola-Galván
<span title="2021-12-29">2021</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
Detrended Fluctuation Analysis (DFA) has become a standard method to quantify the correlations and scaling properties of real-world complex time series.  ...  For a given scaleof observation, DFA provides the function F(ℓ), which quantifies the fluctuations of the time series around the local trend, which is substracted (detrended).  ...  Detrended Fluctuation Analysis at Short Scales As we stated in the Introduction, many real-world time series analyzed using DFA present a different scaling behavior at short and large scales of observation  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e24010061">doi:10.3390/e24010061</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/35052087">pmid:35052087</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC8775092/">pmcid:PMC8775092</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/73pb5y5ygbgata55qdylb226fm">fatcat:73pb5y5ygbgata55qdylb226fm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220425040446/https://mdpi-res.com/d_attachment/entropy/entropy-24-00061/article_deploy/entropy-24-00061.pdf?version=1640765404" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/be/30/be30ead01fb24e7a3dbd2a64db1135e299569428.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e24010061"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8775092" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Detrended fluctuation analysis of scaling crossover effects

M. Ignaccolo, M. Latka, B. J. West
<span title="2010-04-01">2010</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/g5hwjttblnfj5hbaytqsfuuwtm" style="color: black;">Europhysics letters</a> </i> &nbsp;
Abstract -Detrended fluctuation analysis (DFA) is one of the most frequently used fractal time series algorithms.  ...  DFA has also become the tool of choice for analysis of the short-time fluctuations despite the fact that its validity in this domain has never been demonstrated.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1209/0295-5075/90/10009">doi:10.1209/0295-5075/90/10009</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/evrk3j3nurddlpdi6flcqy7fre">fatcat:evrk3j3nurddlpdi6flcqy7fre</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170706092517/https://dukespace.lib.duke.edu/dspace/bitstream/handle/10161/4406/279118900009.pdf%3bjsessionid=D3106C22F36A6CC1F4DFB2E513CD70F8?sequence%253D1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f9/b1/f9b120f0baea6af90154e0889392936df39fa4be.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1209/0295-5075/90/10009"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Robust Estimation of the Scaling Exponent in Detrended Fluctuation Analysis of Beat Rate Variability

Matti Molkkari, Esa Räsänen
<span title="2018-12-30">2018</span> <i title="Computing in Cardiology"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5mzljmmf35bjpkflvspaktlkqi" style="color: black;">2018 Computing in Cardiology Conference (CinC)</a> </i> &nbsp;
Detrended fluctuation analysis is a popular method for studying fractal scaling properties in time series.  ...  Here we present a method based on the Kalman smoother for obtaining a whole spectrum of scaling exponents as a function of the scale.  ...  In the context of HRV, DFA is traditionally performed on the signal consisting of interbeat intervals, and the scaling exponent is determined by linear regression on a log-log plot of the fluctuation function  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.22489/cinc.2018.219">doi:10.22489/cinc.2018.219</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/cinc/MolkkariR18.html">dblp:conf/cinc/MolkkariR18</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ygk2vvc6kvdvboo5nmcepnxb7u">fatcat:ygk2vvc6kvdvboo5nmcepnxb7u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200319073105/http://www.cinc.org/archives/2018/pdf/CinC2018-219.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/cd/56/cd56b1ac6b2a6ace86add677b1409f06ef635331.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.22489/cinc.2018.219"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Fluctuations of water quality time series in rivers follow superstatistics [article]

Benjamin Schäfer, Catherine M. Heppell, Hefin Rhys, Christian Beck
<span title="2021-06-15">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Specifically, we use seasonal detrending and empirical mode decomposition (EMD) to separate trends from fluctuations for the measured data.  ...  With either detrending method, we observe heavy-tailed fluctuation distributions, which are well described by a log-normal superstatistics for dissolved oxygen.  ...  FIG. 11 .FIG. 12 . 1112 Time separation: The short time scale τ , as determined by the approximately exponential autocorrelation decay c(t) ∼ e (−t/τ ) is at least one order of magnitude faster than the  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2106.12047v1">arXiv:2106.12047v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bzwdtozlcjen7fcp6qxmnm5a3y">fatcat:bzwdtozlcjen7fcp6qxmnm5a3y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210629023841/https://arxiv.org/pdf/2106.12047v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/7d/8a/7d8abd1259ea77547afc7fdff56b4377ce7a0d7b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2106.12047v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Comparison of detrending methods for fluctuation analysis

Amir Bashan, Ronny Bartsch, Jan W. Kantelhardt, Shlomo Havlin
<span title="">2008</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dlb6tmf5cve7dphk62d6tkyuvy" style="color: black;">Physica A: Statistical Mechanics and its Applications</a> </i> &nbsp;
We examine several recently suggested methods for the detection of long-range correlations in data series based on similar ideas as the well-established Detrended Fluctuation Analysis (DFA).  ...  In particular, we present a detailed comparison between the regular DFA and two recently suggested methods: the Centered Moving Average (CMA) Method and a Modified Detrended Fluctuation Analysis (MDFA)  ...  RB acknowledges financial support from the President scholarship of Bar-Ilan University.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2008.04.023">doi:10.1016/j.physa.2008.04.023</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/duxof6e2kjbahk3jyj7rcporxa">fatcat:duxof6e2kjbahk3jyj7rcporxa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20140807180235/http://physionet.ph.biu.ac.il/~bashan/Papers/Detrending.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/1b/8f/1b8f8243689aa1332e5f9cde0677e35469954436.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2008.04.023"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Revisiting detrended fluctuation analysis

R. M. Bryce, K. B. Sprague
<span title="2012-03-14">2012</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tnqhc2x2aneavcd3gx5h7mswhm" style="color: black;">Scientific Reports</a> </i> &nbsp;
Detrended Fluctuation Analysis (DFA) is a technique for measuring the same power law scaling observed through R/S Analysis. It was introduced specifically to address nonstationaries 3 .  ...  It is simple to apply R/S Analysis to a time series. However, the records one is confronted with are often poor, brutish, and short.  ...  We thank Peter Dobias of the DRDC Centre for Operational Research and Analysis for comments on an early manuscript draft.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/srep00315">doi:10.1038/srep00315</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/22419991">pmid:22419991</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC3303145/">pmcid:PMC3303145</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/huvbjnnykbhghkjeoad23lsdga">fatcat:huvbjnnykbhghkjeoad23lsdga</a> </span>
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The fractal dimension of music: Melodic contours and time series of pitch [article]

Maria H. Niklasson, Gunnar A. Niklasson
<span title="2020-04-06">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We conclude that detrended fluctuation analysis is the preferable method for fractal analysis of music, and this verifies previous studies of analysis of short time series.  ...  The fractal dimensions obtained from box counting and detrended fluctuation analysis show significant differences.  ...  Detrended Fluctuation Analysis (DFA) [14, 15] is a well-established method for advanced analysis of Hurst exponents.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2004.02612v1">arXiv:2004.02612v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ecjcrflkdvhexfcndg655c6cjm">fatcat:ecjcrflkdvhexfcndg655c6cjm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200930011412/https://arxiv.org/ftp/arxiv/papers/2004/2004.02612.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/de/b3/deb36a0e6165b48bcc6a0c81582927790cb46259.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2004.02612v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Optimal detrended fluctuation analysis as a tool for the determination of the roughness exponent of the mounded surfaces

Edwin E. Mozo Luis, Thiago A. de Assis, Silvio C. Ferreira
<span title="2017-04-12">2017</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5pgnwkvlevhybgsbuc3q7fchx4" style="color: black;">Physical review. E</a> </i> &nbsp;
Our method consists in analyzing the height fluctuations computing the shortest distance of each point of the profile to a detrending curved that fits the surface within the investigated interval.  ...  We present an optimal detrended fluctuation analysis (DFA) and applied it to evaluate the local roughness exponent in non-equilibrium surface growth models with mounded morphology.  ...  ACKNOWLEDGEMENTS The authors acknowledge the financial support of the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.95.042801">doi:10.1103/physreve.95.042801</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/28505814">pmid:28505814</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lfgftz4kdzhgzauriszdulfsz4">fatcat:lfgftz4kdzhgzauriszdulfsz4</a> </span>
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Prediction of intraventricular haemorrhage in preterm infants using time series analysis of blood pressure and respiratory signals

Jacqueline Huvanandana, Chinh Nguyen, Cindy Thamrin, Mark Tracy, Murray Hinder, Alistair L. McEwan
<span title="2017-04-24">2017</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tnqhc2x2aneavcd3gx5h7mswhm" style="color: black;">Scientific Reports</a> </i> &nbsp;
We also explore approaches to improving model performance, such as the inclusion of multiple variables and signal preprocessing to enhance the results from detrended fluctuation analysis.  ...  In this study, we investigated the early identification of infants at a high risk of developing IVH, using time series analysis of blood pressure and respiratory data.  ...  Acknowledgements We would like to thank the Charles Perkins Centre for initiating the collaboration between the authors. The authors thank the professional biostatistician (Alun Pope) for his advice.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/srep46538">doi:10.1038/srep46538</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/28436467">pmid:28436467</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC5402275/">pmcid:PMC5402275</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/r476jmugn5glfjbpqmp3cohrg4">fatcat:r476jmugn5glfjbpqmp3cohrg4</a> </span>
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A NEW APPROACH TO DETECT CONGESTIVE HEART FAILURE USING DETRENDED FLUCTUATION ANALYSIS OF ELECTROCARDIOGRAM SIGNALS

CHANDRAKAR KAMATH
<span title="">2015</span> <i title="Taylor&#39;s University"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3vxazte2xfh4vfhg6itjiodlsq" style="color: black;">Journal of Engineering Science and Technology</a> </i> &nbsp;
The aim of this study is to evaluate how far the detrended fluctuation analysis (DFA) approach helps to characterize the short-term and intermediate-term fractal correlations in the raw electrocardiogram  ...  The DFA-1 calculations were performed on normal and CHF short-term ECG segments, of the order of 20 seconds duration.  ...  / or time scales, i.e., small fluctuations at small scales have similar characteristics to large fluctuations at large time scales.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://doaj.org/article/3fea96e648d14d70884c479d9863ab5e">doaj:3fea96e648d14d70884c479d9863ab5e</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/o3msdfqcwbekdlu6pojkznyoce">fatcat:o3msdfqcwbekdlu6pojkznyoce</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171202055554/http://jestec.taylors.edu.my/Vol%2010%20issue%202%20February%202015/Volume%20(10)%20Issue%20(2)%20145-159.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/70/8f/708fb81224f1bed1e51f21ad5511e49000e7bfeb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a>

Stationarity of the detrended price return in stock markets [article]

Karina Arias-Calluari, Morteza. N. Najafi, Michael S. Harré, Fernando Alonso-Marroquin
<span title="2020-08-22">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The model is validated using the S\&P500 index's data.  ...  After removing the trend from the index, we show that the detrended part is stationary by evaluating the Hurst exponent of the multifractal time series, its power spectrum, and its autocorrelation.  ...  The stationarity test for multifractal time series is based on the relation between two sets of scaling exponents obtained from the standard detrending fluctuation analysis (DFA) [40, 34] and the generalized  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1910.01034v2">arXiv:1910.01034v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/soxyuuujo5aj7dcl5c2jz6hoba">fatcat:soxyuuujo5aj7dcl5c2jz6hoba</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200901195242/https://arxiv.org/pdf/1910.01034v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1910.01034v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Dynamical Heart Beat Correlations during Running [article]

Matti Molkkari, Giorgio Angelotti, Thorsten Emig, Esa Räsänen
<span title="2020-07-03">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In particular, we introduce dynamical detrended fluctuation analysis and dynamical partial autocorrelation functions, which are able to detect real-time changes in the scaling and correlations of the RRIs  ...  as functions of the scale and the lag.  ...  Standard deviation of the dynamic detrended fluctuation analysis (DDFA) estimate of α(t, s) for fGn and fBm as a function of the scale s.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1911.04218v3">arXiv:1911.04218v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/azo476dd2fhwfd4gdfwzz4uapu">fatcat:azo476dd2fhwfd4gdfwzz4uapu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200710064018/https://arxiv.org/pdf/1911.04218v3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1911.04218v3" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Scaling Features of Price-Volume Cross-Correlation [article]

Jamshid Ardalankia, Mohammad Osoolian, Emmanuel Haven, G.Reza Jafari
<span title="2020-08-14">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
To explore the influence of investment size (trading volume), price-wise (gain/loss), and time-scale effects, we analyzed the price and trading volume and their coupling by applying the MF-DXA method.  ...  We are curious about fractal features of this correlation and need to know how structures in different scales translate information.  ...  Because of the relatively short (long) scales, on average, there will be an increase (decrease) of local effects in the detrended covariance function.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1903.01744v2">arXiv:1903.01744v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zxoehwle3rh3bcrvi6tkv75enm">fatcat:zxoehwle3rh3bcrvi6tkv75enm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200819092008/https://arxiv.org/pdf/1903.01744v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1903.01744v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Dynamics of electroencephalogram entropy and pitfalls of scaling detection

M. Ignaccolo, M. Latka, W. Jernajczyk, P. Grigolini, B. J. West
<span title="2010-03-10">2010</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nuk2stxzvvhf7ljciu325kj77m" style="color: black;">Physical Review E</a> </i> &nbsp;
We find that the crossover between two scaling regions seen in detrended fluctuation analysis ͑DFA͒ of EEG increments does not originate from the underlying dynamics but is merely an artifact of the algorithm  ...  The saturation of EEG diffusion entropy precludes the existence of asymptotic scaling.  ...  We focus attention on the validity of such decomposition. A. Detrended fluctuation analysis We now briefly describe the DFA algorithm ͓7͔.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.81.031909">doi:10.1103/physreve.81.031909</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/20365772">pmid:20365772</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vfyzvqdvkrhilk6ezba7zk5ncu">fatcat:vfyzvqdvkrhilk6ezba7zk5ncu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170924200720/https://digital.library.unt.edu/ark:/67531/metadc40408/m2/1/high_res_d/PAPER%237.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d4/c7/d4c7596dc606e57f1e804341d10ff24f7b8af582.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.81.031909"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Assessment of long-range correlation in animal behavior time series: The temporal pattern of locomotor activity of Japanese quail (Coturnix coturnix) and mosquito larva (Culex quinquefasciatus)

Jackelyn M. Kembro, Ana Georgina Flesia, Raquel M. Gleiser, María A. Perillo, Raul H. Marin
<span title="">2013</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dlb6tmf5cve7dphk62d6tkyuvy" style="color: black;">Physica A: Statistical Mechanics and its Applications</a> </i> &nbsp;
The aim of this study was to evaluate the performance of a classical method of fractal analysis, Detrended Fluctuation Analysis (DFA), in the analysis of the dynamics of animal behavior time series.  ...  1) the establishment by hypothesis testing of the absence of short term correlation, 2) an accurate estimation of a straight line in the log-log plot of the fluctuation function, 3) the elimination of  ...  All the authors are career members of CONICET, Argentina. JMK is corresponding author.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2013.08.017">doi:10.1016/j.physa.2013.08.017</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/d3qa7hlsebdsbmr22yult5wfey">fatcat:d3qa7hlsebdsbmr22yult5wfey</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808230908/http://www.famaf.unc.edu.ar/~flesia/PDF-files/KembroEtAl2013.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0d/27/0d27c31c7471c6e1bdb09a59f8050baccd0b8d1c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physa.2013.08.017"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>
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