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Bitcoin is one of the cryptocurrencies that is gaining more popularity in recent years. Previous studies have shown that closing price alone is not enough to forecast stock market series. We introduce a new set of time series and…

Machine Learning · Computer Science 2025-04-28 Stefano Sossi-Rojas , Gissel Velarde , Damian Zieba

Continuous time financial market models are often motivated as scaling limits of discrete time models. The objective of this paper is to establish such a connection for a robust framework. More specifically, we consider discrete time models…

Probability · Mathematics 2024-10-17 David Criens

Cryptocurrencies return cross-predictability and technological similarity yield information on risk propagation and market segmentation. To investigate these effects, we build a time-varying network for cryptocurrencies, based on the…

Statistical Finance · Quantitative Finance 2021-08-27 Li Guo , Wolfgang Karl Härdle , Yubo Tao

Cryptocurrencies return cross-predictability and technological similarity yield information on risk propagation and market segmentation. To investigate these effects, we build a time-varying network for cryptocurrencies, based on the…

Methodology · Statistics 2022-11-18 Li Guo , Wolfgang Karl Härdle , Yubo Tao

Bitcoin is firmly becoming a mainstream asset in our global society. Its highly volatile nature has traders and speculators flooding into the market to take advantage of its significant price swings in the hope of making money. This work…

Machine Learning · Computer Science 2021-10-29 Nathan Crone , Eoin Brophy , Tomas Ward

Predicting future operational risk losses gives rise to a significant challenge due to the heterogeneous and time-dependent structures present in real-world data. Furthermore, stress test exercises require examining the relationship with…

Risk Management · Quantitative Finance 2026-04-24 Nikeethan Selvaratnam , Dorinel Bastide , Clément Fernandes , Wojciech Pieczynski

This study presents an innovative approach for predicting cryptocurrency time series, specifically focusing on Bitcoin, Ethereum, and Litecoin. The methodology integrates the use of technical indicators, a Performer neural network, and…

Computational Finance · Quantitative Finance 2024-03-07 Mohammad Ali Labbaf Khaniki , Mohammad Manthouri

Online (also called "recursive" or "adaptive") estimation of fixed model parameters in hidden Markov models is a topic of much interest in times series modelling. In this work, we propose an online parameter estimation algorithm that…

Computation · Statistics 2011-02-16 Olivier Cappé

Motivated by robotic surveillance applications, this paper studies the novel problem of maximizing the return time entropy of a Markov chain, subject to a graph topology with travel times and stationary distribution. The return time entropy…

Optimization and Control · Mathematics 2018-05-29 Xiaoming Duan , Mishel George , Francesco Bullo

Time series are used in many domains including finance, engineering, economics and bioinformatics generally to represent the change of a measurement over time. Modeling techniques may then be used to give a synthetic representation of such…

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

We develop a predictive-first optimisation framework for streaming hidden Markov models. Unlike classical approaches that prioritise full posterior recovery under a fully specified generative model, we assume access to regime-specific…

Machine Learning · Statistics 2026-04-13 Gerardo Duran-Martin

In this paper we solve the discrete time mean-variance hedging problem when asset returns follow a multivariate autoregressive hidden Markov model. Time dependent volatility and serial dependence are well established properties of financial…

Pricing of Securities · Quantitative Finance 2018-02-13 Massimo Caccia , Bruno Rémillard

This paper introduces a unique and valuable research design aimed at analyzing Bitcoin price volatility. To achieve this, a range of models from the Markov Switching-GARCH and Stochastic Autoregressive Volatility (SARV) model classes are…

Statistical Finance · Quantitative Finance 2024-01-12 Dennis Koch , Vahidin Jeleskovic , Zahid I. Younas

This paper introduces a novel model-based clustering approach for clustering time series which present changes in regime. It consists of a mixture of polynomial regressions governed by hidden Markov chains. The underlying hidden process for…

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

Financial markets exhibit alternating periods of rising and falling prices. Stock traders seeking to make profitable investment decisions have to account for those trends, where the goal is to accurately predict switches from bullish…

Methodology · Statistics 2020-07-30 Lennart Oelschläger , Timo Adam

Most current assessments use ex post proxies that miss uncertainty and fail to consistently capture the rapid change in bitcoin mining. We introduce a unified, ex ante statistical model that derives expected return, downside risk, and…

Computational Engineering, Finance, and Science · Computer Science 2025-12-24 Yuting Cai , Ruthav Sadali , Korok Ray , Chao Tian

The paper studies the linear model for Bitcoin price which includes regression features based on Bitcoin currency statistics, mining processes, Google search trends, Wikipedia pages visits. The pattern of deviation of regression model…

Statistical Finance · Quantitative Finance 2022-01-11 Bohdan M. Pavlyshenko

We review the so called selfish mining strategy in the Bitcoin network and compare its profitability to honest mining.We build a rigorous profitability model for repetition games. The time analysis of the attack has been ignored in the…

Computer Science and Game Theory · Computer Science 2019-01-23 Cyril Grunspan , Ricardo Pérez-Marco

This paper explores neural network-based approaches for algorithmic trading in cryptocurrency markets. Our approach combines multi-timeframe trend analysis with high-frequency direction prediction networks, achieving positive risk-adjusted…

Computational Finance · Quantitative Finance 2025-08-05 Wěi Zhāng

The uncertainties in future Bitcoin price make it difficult to accurately predict the price of Bitcoin. Accurately predicting the price for Bitcoin is therefore important for decision-making process of investors and market players in the…

Statistical Finance · Quantitative Finance 2019-09-04 Samuel Asante Gyamerah