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Queueing-inventory systems are integrated systems consisting of two emerging fields in applied probability, namely "Queues" and "Inventory". In this paper, we present a comprehensive review of the theory and applications of…

Probability · Mathematics 2023-09-20 Salini K , Arya P S , Manikandan Rangaswamy

This work presents a generative pre-trained transformer (GPT) designed for modeling financial time series. The GPT functions as an order generation engine within a discrete event simulator, enabling realistic replication of limit order book…

Trading and Market Microstructure · Quantitative Finance 2024-11-26 Aaron Wheeler , Jeffrey D. Varner

In many domains generating variable length sequences through insertions provides greater flexibility over autoregressive models. However, the action space of insertion models is much larger than that of autoregressive models (ARMs) making…

Queueing simulation studies often require substantial manual effort to translate conceptual system descriptions into executable programs and to verify that the implemented mechanisms match the intended queueing logic. Although large…

Computation and Language · Computer Science 2026-05-06 Jun-Qi Chen , Kun Zhang , Rui Zheng , Ying Zhong

This paper focuses on some simple models of limit order book dynamics which simulate market trading mechanisms. We start with a discrete time/space Markov process and then perform a re-scaling procedure leading to a deterministic dynamical…

Probability · Mathematics 2011-02-08 N Vvedenskaya , Y Suhov , V Belitsky

We propose a limit order book (LOB) model with dynamics that account for both the impact of the most recent order and the shape of the LOB. We present an empirical analysis showing that the type of the last order significantly alters the…

Trading and Market Microstructure · Quantitative Finance 2017-10-31 Federico Gonzalez , Mark Schervish

For a widely used hub-and-spoke closed product-form network consisting of an infinite-server node and several single-server queues, we characterize the maximum queue-length distribution in various operational regimes by leveraging a novel…

Probability · Mathematics 2025-12-09 Predrag Jelenkovic , Petar Momcilovic

The goal of this paper is to disentangle the roles of volume and of participation rate in the price response of the market to a sequence of transactions. To do so, we are inspired the methodology introduced in arXiv:1402.1288,…

Mathematical Finance · Quantitative Finance 2023-12-01 Bruno Durin , Mathieu Rosenbaum , Grégoire Szymanski

We propose and study a simple stochastic model for the dynamics of a limit order book, in which arrivals of market order, limit orders and order cancellations are described in terms of a Markovian queueing system. Through its analytical…

Trading and Market Microstructure · Quantitative Finance 2015-03-19 Rama Cont , Adrien De Larrard

Developing a generative model of realistic order flow in financial markets is a challenging open problem, with numerous applications for market participants. Addressing this, we propose the first end-to-end autoregressive generative model…

Trading and Market Microstructure · Quantitative Finance 2023-09-06 Peer Nagy , Sascha Frey , Silvia Sapora , Kang Li , Anisoara Calinescu , Stefan Zohren , Jakob Foerster

We introduce a Cox-type model for relative intensities of orders flows in a limit order book. The model assumes that all intensities share a common baseline intensity, which may for example represent the global market activity. Parameters…

Statistical Finance · Quantitative Finance 2019-08-23 Ioane Muni Toke , Nakahiro Yoshida

While the long-ranged correlation of market orders and their impact on prices has been relatively well studied in the literature, the corresponding studies of limit orders and cancellations are scarce. We provide here an empirical study of…

Trading and Market Microstructure · Quantitative Finance 2015-03-13 Zoltan Eisler , Jean-Philippe Bouchaud , Julien Kockelkoren

We consider an extension of Discrete Time Markov Chain queueing model to the quantum domain by use of Discrete Time Quantum Markov Chain. We introduce methods for numerical analysis of such models. Using this tools we show that quantum…

Quantum Physics · Physics 2013-06-26 Piotr Gawron , Dariusz Kurzyk , Zbigniew Puchała

The existing literature provides evidence that limit order book data can be used to predict short-term price movements in stock markets. This paper proposes a new neural network architecture for predicting return jump arrivals in equity…

Trading and Market Microstructure · Quantitative Finance 2021-09-17 Ymir Mäkinen , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

Trading and Market Microstructure · Quantitative Finance 2020-01-31 Baron Law , Frederi Viens

We build an agent-based model for the order book with three types of market participants: informed trader, noise trader and competitive market makers. Using a Glosten-Milgrom like approach, we are able to deduce the whole limit order book…

Trading and Market Microstructure · Quantitative Finance 2025-04-01 Weibing Huang , Sergio Pulido , Mathieu Rosenbaum , Pamela Saliba , Emmanouil Sfendourakis

The Levy-Levy-Solomon model (A microscopic model of the stock market: cycles, booms, and crashes, Economic Letters 45 (1))is one of the most influential agent-based economic market models. In several publications this model has been…

Trading and Market Microstructure · Quantitative Finance 2020-02-25 Maximilian Beikirch , Torsten Trimborn

We introduce a new model in order to describe the fluctuation of tick-by-tick financial time series. Our model, based on marked point process, allows us to incorporate in a unique process the duration of the transaction and the…

Trading and Market Microstructure · Quantitative Finance 2012-11-21 Alexis Fauth , Ciprian A. Tudor

Different kinds of models are used to study various natural and technical phenomena. Usually, the researcher is limited to using a certain kind of model approach, not using others (or even not realizing the existence of other model…

Other Computer Science · Computer Science 2021-02-17 Anna V. Korolkova , Dmitry S. Kulyabov , Michal Hnatič

There is a growing body of research which has investigated relevance judgment in IR being influenced by multiple factors or dimensions. At the same time, the Order Effects in sequential decision making have been quantitatively detected and…

Information Retrieval · Computer Science 2019-03-15 Sagar Uprety , Dawei Song
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