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Calibrating high frequency trading data to agent based models using approximate Bayesian computation

We consider Sequential Monte Carlo Approximate Bayesian Computation (SMC ABC) as a method of calibration for the use of agent based models in market micro-structure. To date, there are no successful calibrations of agent based models to high frequency trading data. Here we test whether a more sophis...

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Main Author: Goosen, Kelly
Other Authors: Gebbie, Timothy
Format: Thesis
Language:English
Published: Department of Statistical Sciences 2021
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access_status_str Open Access
author Goosen, Kelly
author2 Gebbie, Timothy
author_browse Gebbie, Timothy
Goosen, Kelly
author_facet Gebbie, Timothy
Goosen, Kelly
author_sort Goosen, Kelly
collection Thesis
description We consider Sequential Monte Carlo Approximate Bayesian Computation (SMC ABC) as a method of calibration for the use of agent based models in market micro-structure. To date, there are no successful calibrations of agent based models to high frequency trading data. Here we test whether a more sophisticated calibration technique, SMC ABC, will achieve this feat on one of the leading agent based models in high frequency trading literature (the Preis-Golke-Paul-Schneider Agent Based Model (Preis et al., 2006)). We find that, although SMC ABC's naive approach of updating distributions can successfully calibrate simple toy models, such as autoregressive moving average models, it fails to calibrate this agent based model for high frequency trading. This may be for two key reasons, either the parameters of the model are not uniquely identifiable given the model output or the SMC ABC rejection mechanism results in information loss rendering parameters unidentifiable given insucient summary statistics.
format Thesis
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institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:33:51.607Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher Department of Statistical Sciences
publisherStr Department of Statistical Sciences
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source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/33699 Calibrating high frequency trading data to agent based models using approximate Bayesian computation Goosen, Kelly Gebbie, Timothy agent based models high frequency trading calibration approximate Bayesian computation sequential Monte Carlo stylised facts market micro-structure We consider Sequential Monte Carlo Approximate Bayesian Computation (SMC ABC) as a method of calibration for the use of agent based models in market micro-structure. To date, there are no successful calibrations of agent based models to high frequency trading data. Here we test whether a more sophisticated calibration technique, SMC ABC, will achieve this feat on one of the leading agent based models in high frequency trading literature (the Preis-Golke-Paul-Schneider Agent Based Model (Preis et al., 2006)). We find that, although SMC ABC's naive approach of updating distributions can successfully calibrate simple toy models, such as autoregressive moving average models, it fails to calibrate this agent based model for high frequency trading. This may be for two key reasons, either the parameters of the model are not uniquely identifiable given the model output or the SMC ABC rejection mechanism results in information loss rendering parameters unidentifiable given insucient summary statistics. 2021-08-04T10:44:55Z 2021-08-04T10:44:55Z 2021 2021-08-04T10:44:32Z Master Thesis Masters MSc http://hdl.handle.net/11427/33699 eng application/pdf Department of Statistical Sciences Faculty of Science
spellingShingle agent based models
high frequency trading
calibration
approximate Bayesian computation
sequential Monte Carlo
stylised facts
market micro-structure
Goosen, Kelly
Calibrating high frequency trading data to agent based models using approximate Bayesian computation
thesis_degree_str Master's
title Calibrating high frequency trading data to agent based models using approximate Bayesian computation
title_full Calibrating high frequency trading data to agent based models using approximate Bayesian computation
title_fullStr Calibrating high frequency trading data to agent based models using approximate Bayesian computation
title_full_unstemmed Calibrating high frequency trading data to agent based models using approximate Bayesian computation
title_short Calibrating high frequency trading data to agent based models using approximate Bayesian computation
title_sort calibrating high frequency trading data to agent based models using approximate bayesian computation
topic agent based models
high frequency trading
calibration
approximate Bayesian computation
sequential Monte Carlo
stylised facts
market micro-structure
url http://hdl.handle.net/11427/33699
work_keys_str_mv AT goosenkelly calibratinghighfrequencytradingdatatoagentbasedmodelsusingapproximatebayesiancomputation