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This study investigates the efficiency of some select stock markets. Using an improved wavelet estimator of long range dependence, we show evidence of long memory in the stock returns of some emerging Asian economies. However, developed…

Statistical Finance · Quantitative Finance 2020-04-21 Avishek Bhandari , Bandi Kamaiah

This study attempts to investigate into the structure and features of global equity markets from a time-frequency perspective. An analysis grounded on this framework allows one to capture information from a different dimension, as opposed…

Econometrics · Economics 2020-04-21 Avishek Bhandari

One stylized feature of financial volatility impacting the modeling process is long memory. This paper examines long memory for alternative risk measures, observed absolute and squared returns for Daily REITs and compares the findings for a…

Statistical Finance · Quantitative Finance 2011-03-29 John Cotter , Simon Stevenson

This paper demonstrates the predictive superiority of discrete wavelet transform (DWT) over previously used methods of feature extraction in the diagnosis of epileptic seizures from EEG data. Classification accuracy, specificity, and…

Computational Engineering, Finance, and Science · Computer Science 2021-02-03 Cyrille Feudjio , Victoire Djimna Noyum , Younous Perieukeu Mofendjou , Rockefeller , Ernest Fokoué

Fractal analysis is carried out on the stock market indices of seven European countries and the US. We find evidence of long range dependence in the log return series of the Mibtel (Italy) and the PX Glob (Czech Republic). Long range…

Statistical Finance · Quantitative Finance 2014-02-07 Enrico Onali , John Goddard

This work presents a wavelet-based approach to time-frequency fingerprinting for time series feature extraction, with a focus on audio identification from live recordings of traditional Irish tunes. The challenges of identifying features in…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-04 Noah Shore

This study presents a comprehensive empirical investigation of the presence of long-range dependence (LRD) in the dynamics of major U.S. stock market indexes--S\&P 500, Dow Jones, and Nasdaq--at daily, weekly, and monthly frequencies. We…

Statistical Finance · Quantitative Finance 2025-09-25 Yifan He , Svetlozar Rachev

A long memory process has self-similarity or scale-invariant properties in low frequencies. We prove that the log of the scale-dependent wavelet variance for a long memory process is asymptotically proportional to scales by using the Taylor…

Other Statistics · Statistics 2012-02-22 Wonsang You , Wojciech Kordecki

Multivariate processes with long-range dependent properties are found in a large number of applications including finance, geophysics and neuroscience. For real data applications, the correlation between time series is crucial. Usual…

Statistics Theory · Mathematics 2015-11-02 Sophie Achard , Irène Gannaz

Long memory and volatility clustering are two stylized facts frequently related to financial markets. Traditionally, these phenomena have been studied based on conditionally heteroscedastic models like ARCH, GARCH, IGARCH and FIGARCH, inter…

Statistical Finance · Quantitative Finance 2009-11-13 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

We make use of wavelet transform to study the multi-scale, self similar behavior and deviations thereof, in the stock prices of large companies, belonging to different economic sectors. The stock market returns exhibit multi-fractal…

Statistical Finance · Quantitative Finance 2015-03-13 Sayantan Ghosh , P. Manimaran , Prasanta K. Panigrahi

Data augmentation is important for improving machine learning model performance when faced with limited real-world data. In time series forecasting (TSF), where accurate predictions are crucial in fields like finance, healthcare, and…

Machine Learning · Computer Science 2024-08-21 Dona Arabi , Jafar Bakhshaliyev , Ayse Coskuner , Kiran Madhusudhanan , Kami Serdar Uckardes

We analyze the Bombay stock exchange (BSE) price index over the period of last 12 years. Keeping in mind the large fluctuations in last few years, we carefully find out the transient, non-statistical and locally structured variations. For…

Statistical Finance · Quantitative Finance 2010-07-26 Prasanta K. Panigrahi , Sayantan Ghosh , P. Manimaran , Dilip P. Ahalpara

Financial Times Series such as stock price and exchange rates are, often, non-linear and non-stationary. Use of decomposition models has been found to improve the accuracy of predictive models. The paper proposes a hybrid approach…

Statistical Finance · Quantitative Finance 2016-05-25 Dhanya Jothimani , Ravi Shankar , Surendra S. Yadav

We apply a recently developed wavelet based approach to characterize the correlation and scaling properties of non-stationary financial time series. This approach is local in nature and it makes use of wavelets from the Daubechies family…

Chaotic Dynamics · Physics 2008-12-02 P. Manimaran , Prasanta K. Panigrahi , Jitendra. C. Parikh

Researchers have studied the first passage time of financial time series and observed that the smallest time interval needed for a stock index to move a given distance is typically shorter for negative than for positive price movements. The…

Statistical Finance · Quantitative Finance 2009-03-23 Johannes Vitalis Siven , Jeffrey Todd Lins , Jonas Lundbek Hansen

Learning profitable intraday trading policies from financial time series is challenging due to heavy noise, non-stationarity, and strong cross-sectional dependence among related assets. We propose \emph{WaveLSFormer}, a learnable…

Machine Learning · Computer Science 2026-03-13 Shuozhe Li , Du Cheng , Leqi Liu

Observational data have been actively used to estimate treatment effect, driven by the growing availability of electronic health records (EHRs). However, EHRs typically consist of longitudinal records, often introducing time-dependent…

Machine Learning · Computer Science 2024-06-14 Junghwan Lee , Simin Ma , Nicoleta Serban , Shihao Yang

In this paper, we propose a novel method for estimating the long-memory parameter in time series. By combining the multi-resolution framework of wavelets with the robustness of the Least Absolute Deviations (LAD) criterion, we introduce a…

Methodology · Statistics 2025-02-28 Manganaw N'Daam , Tchilabalo Abozou Kpanzou , Edoh Katchekpele

We study the long-term memory in diverse stock market indices and foreign exchange rates using the Detrended Fluctuation Analysis(DFA). For all daily and high-frequency market data studied, no significant long-term memory property is…

Physics and Society · Physics 2008-12-02 GabJin Oh , Cheol-Jun Um , Seunghwann Kim
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