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We address the problem of long-range memory in the financial markets. There are two conceptually different ways to reproduce power-law decay of auto-correlation function: using fractional Brownian motion as well as non-linear stochastic…

Statistical Finance · Quantitative Finance 2017-05-24 V. Gontis , A. Kononovicius

We investigate a market with a normal-speed informed trader (IT) who may employ mixed strategy and multiple anticipatory high-frequency traders (HFTs) who are under different inventory pressures, in a three-period Kyle's model. The pure-…

Trading and Market Microstructure · Quantitative Finance 2024-03-14 Ziyi Xu , Xue Cheng

We study tail risk dynamics in high-frequency financial markets and their connection with trading activity and market uncertainty. We introduce a dynamic extreme value regression model accommodating both stationary and local unit-root…

Econometrics · Economics 2023-01-05 Julien Hambuckers , Li Sun , Luca Trapin

We propose a novel framework for modeling time-varying persistence in economic time series, allowing for smoothly evolving heterogeneity in shock dynamics. We leverage localized regression techniques to flexibly identify changes in…

General Finance · Quantitative Finance 2025-06-06 Jozef Barunik , Lukas Vacha

High frequency financial data is burdened by a level of randomness that is unavoidable and obfuscates the task of modelling. This idea is reflected in the intraday evolution of limit orders book data for many financial assets and suggests…

Trading and Market Microstructure · Quantitative Finance 2021-10-15 Myles Sjogren , Timothy DeLise

We analyze waiting times for price changes in a foreign currency exchange rate. Recent empirical studies of high frequency financial data support that trades in financial markets do not follow a Poisson process and the waiting times between…

Physics and Society · Physics 2009-11-11 Naoya Sazuka

High-dimensional self-exciting point processes have been widely used in many application areas to model discrete event data in which past and current events affect the likelihood of future events. In this paper, we are concerned with…

Methodology · Statistics 2020-06-08 Daren Wang , Yi Yu , Rebecca Willett

High-frequency trading (HFT) represents a pivotal and intensely competitive domain within the financial markets. The velocity and accuracy of data processing exert a direct influence on profitability, underscoring the significance of this…

Machine Learning · Computer Science 2024-12-03 Yuxin Fan , Zhuohuan Hu , Lei Fu , Yu Cheng , Liyang Wang , Yuxiang Wang

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

This paper introduces a novel approach to investigate the dynamics of state distributions, which accommodate both cross-sectional distributions of repeated panels and intra-period distributions of a time series observed at high frequency.…

Econometrics · Economics 2025-05-22 Bo Hu , Joon Y. Park , Junhui Qian

This paper studies inter-trade durations in the NASDAQ limit order market and finds that inter-trade durations in ultra-high frequency have two modes. One mode is to the order of approximately 10^{-4} seconds, and the other is to the order…

Econometrics · Economics 2019-12-03 Zhicheng Li , Haipeng Xing , Xinyun Chen

Social, technological and economic time series are divided by events which are usually assumed to be random albeit with some hierarchical structure. It is well known that the interevent statistics observed in these contexts differs from the…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 J. Perello , J. Masoliver , A. Kasprzak , R. Kutner

This paper models stochastic process of price time series of CSI 300 index in Chinese financial market, analyzes volatility characteristics of intraday high-frequency price data. In the new generalized Barndorff-Nielsen and Shephard model,…

Statistical Finance · Quantitative Finance 2023-01-19 Xianfei Hui , Baiqing Sun , Indranil SenGupta , Yan Zhou , Hui Jiang

This paper introduces the Markov-Switching Multifractal Duration (MSMD) model by adapting the MSM stochastic volatility model of Calvet and Fisher (2004) to the duration setting. Although the MSMD process is exponential $\beta$-mixing as we…

Statistical Finance · Quantitative Finance 2013-04-03 Filip Zikes , Jozef Barunik , Nikhil Shenai

Dynamic jumps in the price and volatility of an asset are modelled using a joint Hawkes process in conjunction with a bivariate jump diffusion. A state space representation is used to link observed returns, plus nonparametric measures of…

Applications · Statistics 2016-03-10 Worapree Maneesoonthorn , Catherine S. Forbes , Gael M. Martin

Model predictive control solves a constrained optimization problem online in order to compute an implicit closed-loop control policy. Recursive feasibility -- guaranteeing that the optimal control problem will have a solution at every time…

Optimization and Control · Mathematics 2024-10-16 Jacob W. Knaup , Panagiotis Tsiotras

This work addresses the output consensus problem of constrained heterogeneous multi-agent systems under a switching network with potential communication delays, where outputs are periodic and characterized by an exosystem. Since periodic…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Shibo Han , Bonan Hou , Chong Jin Ong

High-frequency trading requires fast data processing without information lags for precise stock price forecasting. This high-paced stock price forecasting is usually based on vectors that need to be treated as sequential and…

Machine Learning · Computer Science 2023-05-16 Adamantios Ntakaris , Moncef Gabbouj , Juho Kanniainen

Temporal point processes are the dominant paradigm for modeling sequences of events happening at irregular intervals. The standard way of learning in such models is by estimating the conditional intensity function. However, parameterizing…

Machine Learning · Computer Science 2020-01-24 Oleksandr Shchur , Marin Biloš , Stephan Günnemann

It is empirically established that order flow in the financial markets is positively auto-correlated and can serve as an example of a social system with long-range memory. Nevertheless, widely used long-range memory estimators give varying…

Statistical Finance · Quantitative Finance 2020-10-02 Vygintas Gontis