Anomalous waiting times in high-frequency financial data
Enrico Scalas, Rudolf Gorenflo, Francesco Mainardi, Maurizio Mantelli,, Marco Raberto

TL;DR
This paper investigates the non-exponential nature of waiting times between trades in high-frequency financial data, revealing limitations for existing agent-based market models and proposing CTRWs as a suitable framework.
Contribution
It provides empirical evidence that waiting times are non-exponential in high-frequency data, challenging assumptions in traditional market models and suggesting CTRWs for better modeling.
Findings
Waiting times are non-exponential in high-frequency data
Limits are identified for agent-based market models
CTRWs are proposed as a suitable modeling framework
Abstract
In high-frequency financial data not only returns, but also waiting times between consecutive trades are random variables. Therefore, it is possible to apply continuous-time random walks (CTRWs) as phenomenological models of the high-frequency price dynamics. An empirical analysis performed on the 30 DJIA stocks shows that the waiting-time survival probability for high-frequency data is non-exponential. This fact sets limits for agent-based models of financial markets.
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Taxonomy
TopicsComplex Systems and Time Series Analysis · Financial Markets and Investment Strategies · Financial Risk and Volatility Modeling
