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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Nonparametric estimation of trawl processes: Theory and Applications 

Nonparametric estimation of trawl processes: Theory and Applications 

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RCL - Representing, calibrating & leveraging prediction uncertainty from statistics to machine learning

This talk introduces a flexible class of stochastic processes, called trawl processes, which are defined as Lévy bases evaluated over deterministic trawl sets and are widely applicable in many sciences. We will present a novel nonparametric estimator of the trawl function characterising the trawl set and the serial correlation of the process and establish the corresponding asymptotic theory. A simulation study shows the good finite sample performance of the proposed estimator, and, in an empirical illustration, the new methodology is applied to modelling and forecasting high-frequency financial spread data from a limit order book and to estimating the busy-time distribution of a stochastic queue.   This is joint work with Orimar Sauri (Aalborg University).  

This talk is part of the Isaac Newton Institute Seminar Series series.

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