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A major issue in financial economics is the behavior of asset returns over long horizons. Various estimators of long range dependence have been proposed. Even though some have known asymptotic properties, it is important to test their…

统计力学 · 物理学 2015-06-24 Rafal Weron

Detrended Fluctuation Analysis (DFA) is widely used to assess the presence of long-range temporal correlations in time series. Signals with long-range temporal correlations are typically defined as having a power law decay in their…

定量方法 · 定量生物学 2013-06-24 Maria Botcharova , Simon F Farmer , Luc Berthouze

In this work, we develop the asymptotic theory of the Detrended Fluctuation Analysis (DFA) and Detrended Cross-Correlation Analysis (DCCA) for trend-stationary stochastic processes without any assumption on the specific form of the…

统计理论 · 数学 2022-11-16 Taiane Schaedler Prass , Guilherme Pumi

In this paper, we introduce a new extension of the Singular Spectrum Analysis (SSA) called functional SSA to analyze functional time series. The new methodology is developed by integrating ideas from functional data analysis and univariate…

统计方法学 · 统计学 2019-10-29 Hossein Haghbin , Seyed Morteza Najibi , Rahim Mahmoudvand , Jordan Trinka , Mehdi Maadooliat

We focus on power-law coherency as an alternative approach towards studying power-law cross-correlations between simultaneously recorded time series. To be able to study empirical data, we introduce three estimators of the power-law…

统计金融 · 定量金融 2018-10-30 Ladislav Kristoufek

Multifractal analysis is a forecasting technique used to study the scaling regularity properties of financial returns, to analyze the long-term memory and predictability of financial markets. In this paper, we propose a novel structural…

统计金融 · 定量金融 2023-04-18 Foued Saâdaoui

In order to interpret and explain the physiological signal behaviors, it can be interesting to find some constants among the fluctuations of these data during all the effort or during different stages of the race (which can be detected…

应用统计 · 统计学 2011-12-06 Imen Kammoun , Véronique Billat , Jean-Marc Bardet

This study introduces a novel forecasting strategy that leverages the power of fractional differencing (FD) to capture both short- and long-term dependencies in time series data. Unlike traditional integer differencing methods, FD preserves…

机器学习 · 计算机科学 2023-12-05 Sarit Maitra , Vivek Mishra , Srashti Dwivedi , Sukanya Kundu , Goutam Kumar Kundu

Detrended fluctuation analysis (DFA) has been used widely to determine possible long-range correlations in data obtained from diverse settings. In a recent study [1], uncorrelated random spikes superimposed on the long-range correlated…

统计力学 · 物理学 2007-05-23 Radhakrishnan Nagarajan

A power transformer winding is usually subject to mechanical stress and tension because of improper transportation or operation. Radial deformation (RD) is an example of mechanical stress that can impact power transformer operation through…

系统与控制 · 电气工程与系统科学 2020-12-15 Arash Moradzadeh , Kazem Pourhossein , Behnam Mohammadi-Ivatloo , Tohid Khalili , Ali Bidram

Long-range correlation in financial time series reflects the complex dynamics of the stock markets driven by algorithms and human decisions. Our analysis exploits ultra-high frequency order book data from NASDAQ Nordic over a period of…

交易与市场微观结构 · 定量金融 2017-11-10 Martin Magris , Jiyeong Kim , Esa Rasanen , Juho Kanniainen

The fluctuations in the quantum spectrum could be treated like a time series. In this framework, we explore the statistical self-similarity in the quantum spectrum using the detrended fluctuation analysis (DFA) and random matrix theory…

混沌动力学 · 物理学 2007-05-23 M. S. Santhanam , Jayendra N. Bandyopadhyay , Dilip Angom

Here we propose a method, based on detrended covariance which we call detrended cross-correlation analysis (DXA), to investigate power-law cross-correlations between different simultaneously-recorded time series in the presence of…

统计金融 · 定量金融 2009-11-13 Boris Podobnik , H. Eugene Stanley

We use the Detrended Fluctuation Analysis (DFA) and the Grassberger-Proccacia analysis (GP) methods in order to study language characteristics. Despite that we construct our signals using only word lengths or word frequencies, excluding in…

物理与社会 · 物理学 2009-11-13 Kosmas Kosmidis , Alkiviadis Kalampokis , Panos Argyrakis

The spacing of nearest levels of the spectrum of a complex network can be regarded as a time series. Joint use of Multi-fractal Detrended Fluctuation Approach (MF-DFA) and Diffusion Entropy (DE) is employed to extract characteristics from…

统计力学 · 物理学 2007-05-23 Huijie Yang , Fangcui Zhao , Longyu Qi , Beilai Hu

We use the multifractal detrended fluctuation analysis (MF-DFA) to study the electrical discharge current fluctuations in plasma and show that it has multifractal properties and behaves as a weak anti-correlated process. Comparison of the…

统计力学 · 物理学 2009-04-04 S. Kimiagar , M. Sadegh Movahed , S. Khorram , S. Sobhanian , M. Reza Rahimi Tabar

Different routing strategies may result in different behaviors of traffic on internet. We analyze the correlation of traffic data for three typical routing strategies by the detrended fluctuation analysis (DFA) and find that the degree of…

网络与互联网体系结构 · 计算机科学 2008-06-12 Xiaoyan Zhu , Zonghua Liu , Ming Tang

The intraday pattern, long memory, and multifractal nature of the intertrade durations, which are defined as the waiting times between two consecutive transactions, are investigated based upon the limit order book data and order flows of 23…

交易与市场微观结构 · 定量金融 2008-12-18 Zhi-Qiang Jiang , Wei Chen , Wei-Xing Zhou

The performance of the multifractal detrended analysis on short time series is evaluated for synthetic samples of several mono- and multifractal models. The reconstruction of the generalized Hurst exponents is used to determine the range of…

数据分析、统计与概率 · 物理学 2013-11-12 Juan Luis Lopez , Jesus Guillermo Contreras

Long memory in the sense of slowly decaying autocorrelations is a stylized fact in many time series from economics and finance. The fractionally integrated process is the workhorse model for the analysis of these time series. Nevertheless,…

计量经济学 · 经济学 2023-09-22 Uwe Hassler , Marc-Oliver Pohle