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Generalized autoregressive conditionally heteroskedastic (GARCH) processes are widely used for modelling features commonly found in observed financial returns. The extremal properties of these processes are of considerable interest for…

Computation · Statistics 2019-08-20 Fabrizio Laurini , Paul Fearnhead , Jonathan A. Tawn

We propose a novel probabilistic model to facilitate the learning of multivariate tail dependence of multiple financial assets. Our method allows one to construct from known random vectors, e.g., standard normal, sophisticated joint…

Risk Management · Quantitative Finance 2020-01-14 Xing Yan , Qi Wu , Wen Zhang

In the framework of statistical mechanics the properties of macroscopic systems are deduced starting from the laws of their microscopic dynamics. One of the key assumptions in this procedure is the ergodic property, namely the equivalence…

Statistical Mechanics · Physics 2024-01-09 Marco Baldovin , Raffaele Marino , Angelo Vulpiani

We study the prediction of Value at Risk (VaR) for cryptocurrencies. In contrast to classic assets, returns of cryptocurrencies are often highly volatile and characterized by large fluctuations around single events. Analyzing a…

Statistical Finance · Quantitative Finance 2024-12-20 Rebekka Buse , Konstantin Görgen , Melanie Schienle

We apply a quadratic hedging scheme developed by Foellmer, Schweizer, and Sondermann to European contingent products whose underlying asset is modeled using a GARCH process and show that local risk-minimizing strategies with respect to the…

Pricing of Securities · Quantitative Finance 2010-01-29 Juan-Pablo Ortega

This paper proposes a novel method (GLS Granger test) to determine causal relationships between time series based on the estimation of the autocovariance matrix and generalized least squares. We show the effectiveness of proposed…

Methodology · Statistics 2023-01-10 Hugo J. Bello

In this paper, we discuss the method of Bayesian regression and its efficacy for predicting price variation of Bitcoin, a recently popularized virtual, cryptographic currency. Bayesian regression refers to utilizing empirical data as proxy…

Artificial Intelligence · Computer Science 2014-10-07 Devavrat Shah , Kang Zhang

Volatility clustering and spillovers are key features of real-world financial time series when there are a lot of cross-sectional financial assets. While network analysis helps connect stocks that are 'similar' or 'correlated', which is…

Methodology · Statistics 2025-10-22 Peiyi Zhou

Bayesian inference for fractionally integrated exponential generalized autoregressive conditional heteroskedastic (FIEGARCH) models using Markov Chain Monte Carlo (MCMC) methods is described. A simulation study is presented to access the…

Statistics Theory · Mathematics 2013-04-16 Taiane S. Prass , Sílvia R. C. Lopes , Jorge A. Achcar

Although stochastic volatility and GARCH (generalized autoregressive conditional heteroscedasticity) models have successfully described the volatility dynamics of univariate asset returns, extending them to the multivariate models with…

Econometrics · Economics 2020-10-09 Yuta Yamauchi , Yasuhiro Omori

Abrupt changes in the miner hash rate applied to a proof-of-work (PoW) blockchain can adversely affect user experience and security. Because different PoW blockchains often share hashing algorithms, miners face a complex choice in deciding…

Cryptography and Security · Computer Science 2018-06-20 George Bissias , Brian N. Levine , David Thibodeau

A standard model of (conditional) heteroscedasticity, i.e., the phenomenon that the variance of a process changes over time, is the Generalized AutoRegressive Conditional Heteroskedasticity (GARCH) model, which is especially important for…

Methodology · Statistics 2018-07-24 Balázs Csanád Csáji

A reputation of high volatility accompanies the emergence of Bitcoin as a financial asset. This paper intends to nuance this reputation and clarify our understanding of Bitcoin's volatility. Using daily, weekly, and monthly closing prices…

Statistical Finance · Quantitative Finance 2021-03-02 Nassim Dehouche

Markets efficiency implies that the stock returns are intrinsically unpredictable, a property that makes markets comparable to random number generators. We present a novel methodology to investigate ultra-high frequency financial data and…

Statistical Finance · Quantitative Finance 2025-11-24 Silvia Onofri , Andrey Shternshis , Stefano Marmi

As distributed ledgers, blockchains run consensus protocols which trade capacity for consistency, especially in non-ideal networks with incomplete connectivity and erroneous links. Existing studies on the tradeoff between capacity and…

Cryptography and Security · Computer Science 2021-06-29 Xu Wang , Wei Ni , Xuan Zha , Guangsheng Yu , Ren Ping Liu , Nektarios Georgalas , Andrew Reeves

In the dynamic landscape of the Web, we are witnessing the emergence of the Web3 paradigm, which dictates that platforms should rely on blockchain technology and cryptocurrencies to sustain themselves and their profitability.…

Social and Information Networks · Computer Science 2025-03-20 Cheick Tidiane Ba , Richard G. Clegg , Ben A. Steer , Matteo Zignani

This paper evaluates and assesses the risk associated with capital allocation in cryptocurrencies (CCs). In this regard, we take a basket of 27 CCs and the CC index EWCI$^-$ into account. After considering a series of statistical tests we…

Risk Management · Quantitative Finance 2021-05-27 Christoph J. Börner , Ingo Hoffmann , Jonas Krettek , Lars M. Kürzinger , Tim Schmitz

In this paper we extend the known methodology for fitting stable distributions to the multivariate case and apply the suggested method to the modelling of daily cryptocurrency-return data. The investigated time period is cut into 10…

Applications · Statistics 2018-10-24 Szabolcs Majoros , András Zempléni

We document stable cross-asset patterns in cryptocurrency limit-order-book microstructure: the same engineered order book and trade features exhibit remarkably similar predictive importance and SHAP dependence shapes across assets spanning…

Trading and Market Microstructure · Quantitative Finance 2026-02-03 Bartosz Bieganowski , Robert Ślepaczuk

Time series often exhibit non-ergodic behaviour that complicates forecasting and inference. This article proposes a likelihood-based approach for estimating ergodicity transformations that addresses such challenges. The method is broadly…

Econometrics · Economics 2026-01-19 Anthony Britto
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