Fractal and multifractal time series

JW Kantelhardt - arXiv preprint arXiv:0804.0747, 2008 - arxiv.org
Data series generated by complex systems exhibit fluctuations on many time scales and/or
broad distributions of the values. In both equilibrium and non-equilibrium situations, the …

Short‐term cardiovascular oscillations in man: measuring and modelling the physiologies

MA Cohen, JA Taylor - The Journal of physiology, 2002 - Wiley Online Library
Research into cardiovascular variabilities intersects both human physiology and quantitative
modelling. This is because respiratory and Mayer wave (or 10 s) cardiovascular oscillations …

Climate time series analysis

M Mudelsee - Atmospheric and, 2010 - Springer
This is the second edition of Climate Time Series Analysis which was first published in 2010.
In this digital age, a second edition means not that the first edition of a book has been sold …

[图书][B] Random fields for spatial data modeling

DT Hristopulos - 2020 - Springer
The series aims to: present current and emerging innovations in GIScience; describe new
and robust GIScience methods for use in transdisciplinary problem solving and decision …

[HTML][HTML] Revisiting detrended fluctuation analysis

RM Bryce, KB Sprague - Scientific reports, 2012 - nature.com
Half a century ago Hurst introduced Rescaled Range (R/S) Analysis to study fluctuations in
time series. Thousands of works have investigated or applied the original methodology and …

Second-order moving average and scaling of stochastic time series

E Alessio, A Carbone, G Castelli… - The European Physical …, 2002 - Springer
Long-range correlation properties of stochastic time series y (i) have been investigated by
introducing the function σ 2 MA=[y (i)-(i)] 2, where (i) is the moving average of y (i), defined …

Comparison of detrending methods for fluctuation analysis

A Bashan, R Bartsch, JW Kantelhardt… - Physica A: Statistical …, 2008 - Elsevier
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 …

Complex systems approach to natural language

T Stanisz, S Drożdż, J Kwapień - Physics Reports, 2024 - Elsevier
The science of complexity aims to answer the question of what rules nature chooses when
assembling the basic constituents of matter and energy into structures and dynamical …

Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series

YH Shao, GF Gu, ZQ Jiang, WX Zhou, D Sornette - Scientific reports, 2012 - nature.com
Notwithstanding the significant efforts to develop estimators of long-range correlations (LRC)
and to compare their performance, no clear consensus exists on what is the best method …

Scaling of Atmosphere and Ocean Temperature Correlations in Observations<? format?> and Climate Models

K Fraedrich, R Blender - Physical Review Letters, 2003 - APS
Power-law scaling of near surface air temperature fluctuations and its geographical
distribution is analyzed in 100-yr observations and in a 1000-yr simulation of the present …