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Online variants of the Expectation Maximization (EM) algorithm have recently been proposed to perform parameter inference with large data sets or data streams, in independent latent models and in hidden Markov models. Nevertheless, the…

Statistics Theory · Mathematics 2012-06-01 Sylvain Le Corff , Gersende Fort

Blockchain technology shows significant results and huge potential for serving as an interweaving fabric that goes through every industry and market, allowing decentralized and secure value exchange, thus connecting our civilization like…

Computational Finance · Quantitative Finance 2018-10-17 Zvezdin Besarabov , Todor Kolev

We consider Markov-switching regression models, i.e. models for time series regression analyses where the functional relationship between covariates and response is subject to regime switching controlled by an unobservable Markov chain.…

Methodology · Statistics 2015-05-12 Roland Langrock , Thomas Kneib , Richard Glennie , Théo Michelot

This paper studies how to forecast daily closing price series of Bitcoin, using data on prices and volumes of prior days. Bitcoin price behaviour is still largely unexplored, presenting new opportunities. We compared our results with two…

Statistical Finance · Quantitative Finance 2020-01-07 Nicola Uras , Lodovica Marchesi , Michele Marchesi , Roberto Tonelli

We study the problem of the intraday short-term volume forecasting in cryptocurrency exchange markets. The predictions are built by using transaction and order book data from different markets where the exchange takes place.…

Trading and Market Microstructure · Quantitative Finance 2020-12-03 Nino Antulov-Fantulin , Tian Guo , Fabrizio Lillo

In this paper we propose a deep recurrent architecture for the probabilistic modelling of high-frequency market prices, important for the risk management of automated trading systems. Our proposed architecture incorporates probabilistic…

Statistical Finance · Quantitative Finance 2020-04-06 Ye-Sheen Lim , Denise Gorse

With rapid development of blockchain technology as well as integration of various application areas, performance evaluation, performance optimization, and dynamic decision in blockchain systems are playing an increasingly important role in…

Performance · Computer Science 2022-11-30 Quan-Lin Li , Yan-Xia Chang , Qing Wang

We introduce a multivariate hidden Markov model to jointly cluster time-series observations with different support, i.e. circular and linear. Relying on the general projected normal distribution, our approach allows for bimodal and/or…

Applications · Statistics 2015-01-27 Gianluca Mastrantonio , Antonello Maruotti , Giovanna Jona Lasinio

This work focuses on a self-exciting point process defined by a Hawkes-like intensity and a switching mechanism based on a hidden Markov chain. Previous works in such a setting assume constant intensities between consecutive events. We…

Methodology · Statistics 2025-02-07 Timothée Fabre , Ioane Muni Toke

We propose a new approach for estimating the finite dimensional transition matrix of a Markov chain using a large number of independent sample paths observed at random times. The sample paths may be observed as few as two times, and the…

Methodology · Statistics 2025-05-20 Daphne Aurouet , Valentin Patilea

In this paper we derive the consistency of the penalized likelihood method for the number state of the hidden Markov chain in autoregressive models with Markov regimen. Using a SAEM type algorithm to estimate the models parameters. We test…

Statistics Theory · Mathematics 2016-08-16 Ricardo Ríos , Luis Rodríguez

We propose a Markov chain model for credit rating changes. We do not use any distributional assumptions on the asset values of the rated companies but directly model the rating transitions process. The parameters of the model are estimated…

Risk Management · Quantitative Finance 2014-01-21 David Wozabal , Ronald Hochreiter

Spatio-temporal hidden Markov models are extremely difficult to estimate because their latent joint distributions are available only in trivial cases. In the estimation phase, these latent distributions are usually substituted with…

Methodology · Statistics 2025-09-19 Daniele Tancini , Riccardo Rastelli , Francesco Bartolucci

A new approach for functional data description is proposed in this paper. It consists of a regression model with a discrete hidden logistic process which is adapted for modeling curves with abrupt or smooth regime changes. The model…

Methodology · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

Machine learning and AI-assisted trading have attracted growing interest for the past few years. Here, we use this approach to test the hypothesis that the inefficiency of the cryptocurrency market can be exploited to generate abnormal…

Physics and Society · Physics 2019-04-09 Laura Alessandretti , Abeer ElBahrawy , Luca Maria Aiello , Andrea Baronchelli

Cryptocurrencies, such as Bitcoin, are one of the most controversial and complex technological innovations in today's financial system. This study aims to forecast the movements of Bitcoin prices at a high degree of accuracy. To this aim,…

Computational Finance · Quantitative Finance 2023-03-09 Hakan Pabuccu , Serdar Ongan , Ayse Ongan

A Hidden Markov Model for intraday momentum trading is presented which specifies a latent momentum state responsible for generating the observed securities' noisy returns. Existing momentum trading models suffer from time-lagging caused by…

Trading and Market Microstructure · Quantitative Finance 2020-06-22 Hugh Christensen , Simon Godsill , Richard E Turner

In this paper we propose a new stochastic model based on a generalization of semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that the financial returns are described by a weighted indexed…

Statistical Finance · Quantitative Finance 2015-06-05 Guglielmo D'Amico , Filippo Petroni

This PhD Thesis presents an investigation into the analysis of financial returns using mixture models, focusing on mixtures of generalized normal distributions (MGND) and their extensions. The study addresses several critical issues…

Statistical Finance · Quantitative Finance 2024-11-20 Pierdomenico Duttilo

The mining of bitcoin is modeled using system dynamics, showing that the past evolution of the network hash rate can be explained to a large extent by an efficient market hypothesis applied to the mining of blocks. The possibility of a…

Cryptography and Security · Computer Science 2020-04-21 Davide Lasi , Lukas Saul
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