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Classic estimation methods for Hawkes processes rely on the assumption that observed event times are indeed a realisation of a Hawkes process, without considering any potential perturbation of the model. However, in practice, observations…

统计方法学 · 统计学 2025-08-21 Anna Bonnet , Felix Cheysson , Miguel Martinez Herrera , Maxime Sangnier

A point process model for order flows in limit order books is proposed, in which the conditional intensity is the product of a Hawkes component and a state-dependent factor. In the LOB context, state observations may include the observed…

交易与市场微观结构 · 定量金融 2021-12-06 Emmanouil Sfendourakis , Ioane Muni Toke

Modelling and forecasting the occurrence of extreme events is especially difficult when the event process is nonstationary, with changes in both the rate at which extremes occur and the magnitude of the extremes when they occur. We approach…

统计方法学 · 统计学 2026-05-06 Gordon J. Ross , Dean Markwick

Multivariate point processes are widely applied to model event-type data such as natural disasters, online message exchanges, financial transactions or neuronal spike trains. One very popular point process model in which the probability of…

统计理论 · 数学 2023-01-27 Deborah Sulem , Vincent Rivoirard , Judith Rousseau

Intraday electricity markets play an increasingly important role in balancing the intermittent generation of renewable energy resources, which creates a need for accurate probabilistic price forecasts. However, research to date has focused…

统计金融 · 定量金融 2025-04-15 Simon Hirsch , Florian Ziel

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…

统计金融 · 定量金融 2024-05-09 Vladimír Holý

Hawkes Processes are a type of point process which models self-excitement among time events. It has been used in a myriad of applications, ranging from finance and earthquakes to crime rates and social network activity analysis.Recently, a…

机器学习 · 计算机科学 2021-01-05 Rafael Lima

The Hawkes process is a popular point process model for event sequences that exhibit temporal clustering. The intensity process of a Hawkes process consists of two components, the baseline intensity and the accumulated excitation effect due…

统计理论 · 数学 2024-08-20 Tsz-Kit Jeffrey Kwan , Feng Chen , William Dunsmuir

It has been suggested that marked point processes might be good candidates for the modelling of financial high-frequency data. A special class of point processes, Hawkes processes, has been the subject of various investigations in the…

交易与市场微观结构 · 定量金融 2019-08-23 Ioane Muni Toke

We examine the novel problem of the estimation of transaction arrival processes in the intraday electricity markets. We model the inter-arrivals using multiple time-varying parametric densities based on the generalized F distribution…

综合经济学 · 经济学 2019-12-03 Michał Narajewski , Florian Ziel

We present a careful analysis of possible issues on the application of the self-excited Hawkes process to high-frequency financial data. We carefully analyze a set of effects leading to significant biases in the estimation of the…

统计金融 · 定量金融 2014-07-04 Vladimir Filimonov , Didier Sornette

This study examine the theoretical and empirical perspectives of the symmetric Hawkes model of the price tick structure. Combined with the maximum likelihood estimation, the model provides a proper method of volatility estimation…

统计金融 · 定量金融 2019-08-15 Kyungsub Lee , Byoung Ki Seo

Point processes are widely used statistical models for continuous-time discrete event data, such as medical records, crime reports, and social network interactions, to capture the influence of historical events on future occurrences. In…

机器学习 · 统计学 2026-01-13 Xiuyuan Cheng , Tingnan Gong , Yao Xie

Given a stationary point process, an intensity burst is defined as a short time period during which the number of counts is larger than the typical count rate. It might signal a local non-stationarity or the presence of an external…

交易与市场微观结构 · 定量金融 2018-04-04 Marcello Rambaldi , Vladimir Filimonov , Fabrizio Lillo

Hawkes processes are a class of point processes that have the ability to model the self- and mutual-exciting phenomena. Although the classic Hawkes processes cover a wide range of applications, their expressive ability is limited due to…

机器学习 · 计算机科学 2021-06-10 Feng Zhou , Quyu Kong , Yixuan Zhang , Cheng Feng , Jun Zhu

In this paper we present a regression based model for day-ahead electricity spot prices. We estimate the considered linear regression model by the lasso estimation method. The lasso approach allows for many possible parameters in the model,…

统计金融 · 定量金融 2016-10-26 Florian Ziel

Multivariate Hawkes processes (MHP) are a class of point processes in which events at different coordinates interact through mutual excitation. The weighted adjacency matrix of the MHP encodes the strength of the relations, and shares its…

统计理论 · 数学 2024-05-21 Antoine Lotz

Recent years have seen an unprecedented rise of the role that technology plays in all aspects of human activities. Unavoidably, technology has heavily entered the Capital Markets trading space, to the extent that all major exchanges are now…

统计金融 · 定量金融 2015-05-05 Lucio Maria Calcagnile , Giacomo Bormetti , Michele Treccani , Stefano Marmi , Fabrizio Lillo

The large variability of renewable power sources is a central challenge in the transition to a sustainable energy system. Electricity markets are central for the coordination of electric power generation. These markets rely evermore on…

Traditionally, Hawkes processes are used to model time--continuous point processes with history dependence. Here we propose an extended model where the self--effects are of both excitatory and inhibitory type and follow a Gaussian Process.…

机器学习 · 统计学 2021-05-21 Noa Malem-Shinitski , Cesar Ojeda , Manfred Opper