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We propose a novel estimation procedure for scale-by-scale lead-lag relationships of financial assets observed at high-frequency in a non-synchronous manner. The proposed estimation procedure does not require any interpolation processing of…

Methodology · Statistics 2020-05-11 Takaki Hayashi , Yuta Koike

The lead-lag relationship plays a vital role in financial markets. It is the phenomenon where a certain price-series lags behind and partially replicates the movement of leading time-series. The present research proposes a new technique…

Statistical Finance · Quantitative Finance 2020-05-12 Kartikay Gupta , Niladri Chatterjee

In time-series analysis, the term "lead-lag effect" is used to describe a delayed effect on a given time series caused by another time series. lead-lag effects are ubiquitous in practice and are specifically critical in formulating…

Statistical Finance · Quantitative Finance 2020-02-04 Katsuya Ito , Kei Nakagawa

Recently the interest of researchers has shifted from the analysis of synchronous relationships of financial instruments to the analysis of more meaningful asynchronous relationships. Both of those analyses are concentrated only on…

Statistical Finance · Quantitative Finance 2014-06-18 Paweł Fiedor

The intermarket analysis, in particular the lead-lag relationship, plays an important role within financial markets. Therefore a mathematical approach to be able to find interrelations between the price development of two different…

Statistical Finance · Quantitative Finance 2015-04-24 Stanislaus Maier-Paape , Andreas Platen

We propose a novel framework to investigate lead-lag relationships between two financial assets. Our framework bridges a gap between continuous-time modeling based on Brownian motion and the existing wavelet methods for lead-lag analysis…

Methodology · Statistics 2018-11-13 Takaki Hayashi , Yuta Koike

Investigating the relationship, particularly the lead-lag effect, between time series is a common question across various disciplines, especially when uncovering biological process. However, analyzing time series presents several…

We propose a novel two-stage framework to detect lead-lag relationships in the Chinese A-share market. First, long-term coupling between stocks is measured via daily data using correlation, dynamic time warping, and rank-based metrics.…

Computational Finance · Quantitative Finance 2025-06-25 Jianyong Fang , Sitong Wu , Junfan Tong

The lead-lag effect, where the price movement of one asset systematically precedes that of another, has been widely observed in financial markets and conveys valuable predictive signals for trading. However, traditional lead-lag detection…

Computational Engineering, Finance, and Science · Computer Science 2025-11-04 Wanyun Zhou , Saizhuo Wang , Mihai Cucuringu , Zihao Zhang , Xiang Li , Jian Guo , Chao Zhang , Xiaowen Chu

Lead/lag relationships are an important stylized fact at high frequency. Some assets follow the path of others with a small time lag. We provide indicators to measure this phenomenon using tick-by-tick data. Strongly asymmetric…

Trading and Market Microstructure · Quantitative Finance 2012-01-19 Nicolas Huth , Frédéric Abergel

Lead-lag relationships among assets represent a useful tool for analyzing high frequency financial data. However, research on these relationships predominantly focuses on correlation analyses for the dynamics of stock prices, spots and…

Statistical Finance · Quantitative Finance 2020-01-08 Lasko Basnarkov , Viktor Stojkoski , Zoran Utkovski , Ljupco Kocarev

Cross-correlation functions (CCFs) are classical tools for studying lead-lag relationships between paired time series, but they are most often used descriptively rather than inferentially. Motivated by mouse experiments on gut-brain…

Applications · Statistics 2026-04-07 Bhaskar Ray , Tùng Bùi , William Matthew Howe , Srijan Sengupta

Pairs Trading is carried out in the financial market to earn huge profits from known equilibrium relation between pairs of stock. In financial markets, seldom it is seen that stock pairs are correlated at particular lead or lag. This…

Statistical Finance · Quantitative Finance 2020-06-24 Kartikay Gupta , Niladri Chatterjee

The existence of time-lagged cross-correlations between the returns of a pair of assets, which is known as the lead-lag relationship, is a well-known stylized fact in financial econometrics. Recently some continuous-time models have been…

Mathematical Finance · Quantitative Finance 2017-12-29 Takaki Hayashi , Yuta Koike

According to the leading models in modern finance, the presence of intraday lead-lag relationships between financial assets is negligible in efficient markets. With the advance of technology, however, markets have become more sophisticated.…

Statistical Finance · Quantitative Finance 2014-01-03 Chester Curme , Michele Tumminello , Rosario N. Mantegna , H. Eugene Stanley , Dror Y. Kenett

In multivariate time series systems, it has been observed that certain groups of variables partially lead the evolution of the system, while other variables follow this evolution with a time delay; the result is a lead-lag structure amongst…

Machine Learning · Statistics 2022-01-21 Stefanos Bennett , Mihai Cucuringu , Gesine Reinert

We propose a simple continuous time model for modeling the lead-lag effect between two financial assets. A two-dimensional process $(X_t,Y_t)$ reproduces a lead-lag effect if, for some time shift $\vartheta\in \mathbb{R}$, the process…

Statistics Theory · Mathematics 2013-03-21 M. Hoffmann , M. Rosenbaum , N. Yoshida

The study of time series has motivated many researchers, particularly on the area of multivariate-analysis. The study of co-movements and dependency between random variables leads us to develop metrics to describe existing connection…

Machine Learning · Computer Science 2022-03-08 Hugo Schnoering , Hugo Inzirillo

The timing analysis of transient events allows for investigating numerous still open areas of modern astrophysics. The article explores all the mathematical and physical tools required to estimate delays and associated errors between two…

Instrumentation and Methods for Astrophysics · Physics 2025-09-17 W. Leone , L. Burderi , T. di Salvo , A. Anitra , A. Sanna , A. Riggio , R. Iaria , F. Fiore , F. Longo , M. Ďurišková , A. Tsvetkova , C. Maraventano , C. Miceli

Symbolic transfer entropy is a powerful non-parametric tool to detect lead-lag between time series. Because a closed expression of the distribution of Transfer Entropy is not known for finite-size samples, statistical testing is often…

Statistical Finance · Quantitative Finance 2022-06-22 Christian Bongiorno , Damien Challet
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