Time-frequency analysis of locally stationary Hawkes processesReportar como inadecuado

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1 LTCI - Laboratoire Traitement et Communication de l-Information 2 Institut de Statistique, Biostatistique et Sciences Actuarielles ISBA

Abstract : Locally stationary Hawkes processes have been introduced in order to generalise classical Hawkes processes away from stationarity by allowing for a time-varying second-order structure. This class of self-exciting point processes has recently attracted a lot of interest in applications in the life sciences seismology, genomics, neuro-science,

., but also in the modelling of high-frequency financial data. In this contribution we provide a fully developed nonparametric estimation theory of both local mean density and local Bartlett spectra of a locally stationary Hawkes process. In particular we apply our kernel estimation of the spectrum localised both in time and frequency to two data sets of transaction times revealing pertinent features in the data that had not been made visible by classical non-localised approaches based on models with constant fertility functions over time.

Keywords : Self-exciting point processes Non-parametric kernel estimation Time frequency analysis Locally stationary time series high frequency fi- nancial data

Autor: François Roueff - Rainer Von Sachs -

Fuente: https://hal.archives-ouvertes.fr/


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