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This paper describes limiting behaviour of tail empirical process associated with long memory stochastic volatility models. We show that such process has dichotomous behaviour, according to an interplay between a Hurst parameter and a tail…

Statistics Theory · Mathematics 2010-11-23 Rafal Kulik , Philippe Soulier

The detrended fluctuation analysis (DFA) is extensively useful in stochastic processes to unveil the long-term correlation. Here, we apply the DFA to point processes that mimick earthquake data. The point processes are synthesized by a…

Data Analysis, Statistics and Probability · Physics 2021-07-28 Takumi Kataoka , Tomoshige Miyaguchi , Takuma Akimoto

Recently the statistical characterizations of financial markets based on physics concepts and methods attract considerable attentions. We used two possible procedures of analyzing multifractal properties of a time series. The first one uses…

Data Analysis, Statistics and Probability · Physics 2008-12-02 A. Ganchuk , V. Derbentsev , V. Soloviev

Financial trading is at the forefront of time-series analysis, and has grown hand-in-hand with it. The advent of electronic trading has allowed complex machine learning solutions to enter the field of financial trading. Financial markets…

Machine Learning · Computer Science 2020-10-23 Prakhar Ganesh , Puneet Rakheja

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

The scaling properties encompass in a simple analysis many of the volatility characteristics of financial markets. That is why we use them to probe the different degree of markets development. We empirically study the scaling properties of…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , M. M. Dacorogna

Intense volatility in financial markets affect humans worldwide. Therefore, relatively accurate prediction of volatility is critical. We suggest that massive data sources resulting from human interaction with the Internet may offer a new…

Statistical Finance · Quantitative Finance 2018-05-31 Yu-Long Zhou , Ren-Jie Han , Qian Xu , Wei-Ke Zhang

By applying the multifractal detrended fluctuation analysis to the high-frequency tick-by-tick data from Deutsche B\"orse both in the price and in the time domains, we investigate multifractal properties of the time series of logarithmic…

Other Condensed Matter · Physics 2009-11-10 P. Oswiecimka , J. Kwapien , S. Drozdz

Detrended fluctuation analysis (DFA) is a scaling analysis method used to estimate long-range power-law correlation exponents in noisy signals. Many noisy signals in real systems display trends, so that the scaling results obtained from the…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Kun Hu , Plamen Ch. Ivanov , Zhi Chen , Pedro Carpena , H. Eugene Stanley

In this paper, we investigate the problem of predicting the future volatility of Forex currency pairs using the deep learning techniques. We show step-by-step how to construct the deep-learning network by the guidance of the empirical…

Statistical Finance · Quantitative Finance 2021-12-06 Shujian Liao , Jian Chen , Hao Ni

It is generally accepted that many time series of practical interest exhibit strong dependence, i.e., long memory. For such series, the sample autocorrelations decay slowly and log-log periodogram plots indicate a straight-line…

Statistics Theory · Mathematics 2008-12-02 Rohit Deo , Meng-Chen Hsieh , Clifford M. Hurvich , Philippe Soulier

In this paper we use Clustering Method to understand whether stock market volatility can be predicted at all, and if so, when it can be predicted. The exercise has been performed for the Indian stock market on daily data for two years. For…

Computational Engineering, Finance, and Science · Computer Science 2016-04-19 Tamal Datta Chaudhuri , Indranil Ghosh

In long-term time series forecasting (LTSF) tasks, an increasing number of models have acknowledged that discrete time series originate from continuous dynamic systems and have attempted to model their dynamical structures. Recognizing the…

Machine Learning · Computer Science 2024-11-05 Jiaxi Hu , Yuehong Hu , Wei Chen , Ming Jin , Shirui Pan , Qingsong Wen , Yuxuan Liang

We investigate the volatility return intervals in the NYSE and FOREX markets. We explain previous empirical findings using a model based on the interacting agent hypothesis instead of the widely-used efficient market hypothesis. We derive…

General Finance · Quantitative Finance 2016-10-26 Vygintas Gontis , Shlomo Havlin , Aleksejus Kononovicius , Boris Podobnik , H. Eugene Stanley

We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations…

Statistical Finance · Quantitative Finance 2024-05-09 Vladimír Holý

This paper investigates the continuous-time limit of score-driven models with long memory. By extending score-driven models to incorporate infinite-lag structures with coefficients exhibiting heavy-tailed decay, we establish their weak…

Probability · Mathematics 2025-12-09 Yinhao Wu , Ping He

Long memory and circulation patterns are potential sources of subseasonal-to-seasonal predictions. Here, we infer one-dimensional nonlinear stochastic models of daily temperature which capture both long memory and external driving by the…

Atmospheric and Oceanic Physics · Physics 2025-01-08 Johannes A. Kassel , Holger Kantz

We compare systematically several classes of stochastic volatility models of stock market fluctuations. We show that the long-time return distribution is either Gaussian or develops a power-law tail, while the short-time return distribution…

Statistical Finance · Quantitative Finance 2010-09-15 Frantisek Slanina

The study of long-horizon returns has received a great deal of attention in recent years (see, for example, Boudoukh, Richardson, and Whitelaw (2008), Neuberger (2012) and Lee (2013), Fama and French (2018)). While most of the discussions…

Risk Management · Quantitative Finance 2022-01-20 Hwai-Chung Ho

This paper investigates short-term behaviors of implied volatility of derivatives written on indexes in equity markets when the index processes are constructed by using a ranking procedure. Even in simple market settings where stock prices…

Pricing of Securities · Quantitative Finance 2025-03-11 Huy N. Chau , Duy Nguyen , Thai Nguyen
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