Deep attentive survival analysis in limit order books: estimating fill probabilities with convolutional-transformers

<p>One of the key decisions in execution strategies is the choice between a passive (liquidity providing) or an aggressive (liquidity taking) order to execute a trade in a limit order book (LOB). Essential to this choice is the fill probability of a passive limit order placed in the LOB. This...

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Main Authors: Arroyo, A, Cartea, A, Moreno-Pino, F, Zohren, S
Format: Journal article
Language:English
Published: Taylor and Francis 2024
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author Arroyo, A
Cartea, A
Moreno-Pino, F
Zohren, S
author_facet Arroyo, A
Cartea, A
Moreno-Pino, F
Zohren, S
author_sort Arroyo, A
collection OXFORD
description <p>One of the key decisions in execution strategies is the choice between a passive (liquidity providing) or an aggressive (liquidity taking) order to execute a trade in a limit order book (LOB). Essential to this choice is the fill probability of a passive limit order placed in the LOB. This paper proposes a deep learning method to estimate the filltimes of limit orders posted in different levels of the LOB. We develop a novel model for survival analysis that maps time-varying features of the LOB to the distribution of filltimes of limit orders. Our method is based on a convolutional-Transformer encoder and a monotonic neural network decoder. We use&nbsp;<em>proper scoring rules</em>&nbsp;to compare our method with other approaches in survival analysis, and perform an interpretability analysis to understand the informativeness of features used to compute fill probabilities. Our method significantly outperforms those typically used in survival analysis literature. Finally, we carry out a statistical analysis of the fill probability of orders placed in the order book (e.g. within the bid-ask spread) for assets with different queue dynamics and trading activity.</p>
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spelling oxford-uuid:03367c56-81e6-4fea-b51e-18885e3f66802024-01-11T09:26:00ZDeep attentive survival analysis in limit order books: estimating fill probabilities with convolutional-transformersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:03367c56-81e6-4fea-b51e-18885e3f6680EnglishSymplectic ElementsTaylor and Francis2024Arroyo, ACartea, AMoreno-Pino, FZohren, S<p>One of the key decisions in execution strategies is the choice between a passive (liquidity providing) or an aggressive (liquidity taking) order to execute a trade in a limit order book (LOB). Essential to this choice is the fill probability of a passive limit order placed in the LOB. This paper proposes a deep learning method to estimate the filltimes of limit orders posted in different levels of the LOB. We develop a novel model for survival analysis that maps time-varying features of the LOB to the distribution of filltimes of limit orders. Our method is based on a convolutional-Transformer encoder and a monotonic neural network decoder. We use&nbsp;<em>proper scoring rules</em>&nbsp;to compare our method with other approaches in survival analysis, and perform an interpretability analysis to understand the informativeness of features used to compute fill probabilities. Our method significantly outperforms those typically used in survival analysis literature. Finally, we carry out a statistical analysis of the fill probability of orders placed in the order book (e.g. within the bid-ask spread) for assets with different queue dynamics and trading activity.</p>
spellingShingle Arroyo, A
Cartea, A
Moreno-Pino, F
Zohren, S
Deep attentive survival analysis in limit order books: estimating fill probabilities with convolutional-transformers
title Deep attentive survival analysis in limit order books: estimating fill probabilities with convolutional-transformers
title_full Deep attentive survival analysis in limit order books: estimating fill probabilities with convolutional-transformers
title_fullStr Deep attentive survival analysis in limit order books: estimating fill probabilities with convolutional-transformers
title_full_unstemmed Deep attentive survival analysis in limit order books: estimating fill probabilities with convolutional-transformers
title_short Deep attentive survival analysis in limit order books: estimating fill probabilities with convolutional-transformers
title_sort deep attentive survival analysis in limit order books estimating fill probabilities with convolutional transformers
work_keys_str_mv AT arroyoa deepattentivesurvivalanalysisinlimitorderbooksestimatingfillprobabilitieswithconvolutionaltransformers
AT carteaa deepattentivesurvivalanalysisinlimitorderbooksestimatingfillprobabilitieswithconvolutionaltransformers
AT morenopinof deepattentivesurvivalanalysisinlimitorderbooksestimatingfillprobabilitieswithconvolutionaltransformers
AT zohrens deepattentivesurvivalanalysisinlimitorderbooksestimatingfillprobabilitieswithconvolutionaltransformers