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In the past decade, Bitcoin as an emerging asset class has gained widespread public attention because of their extraordinary returns in phases of extreme price growth and their unpredictable massive crashes. We apply the log-periodic power…

Statistical Finance · Quantitative Finance 2020-04-22 Min Shu , Wei Zhu

We develop a strong diagnostic for bubbles and crashes in bitcoin, by analyzing the coincidence (and its absence) of fundamental and technical indicators. Using a generalized Metcalfe's law based on network properties, a fundamental value…

Econometrics · Economics 2018-03-16 Spencer Wheatley , Didier Sornette , Tobias Huber , Max Reppen , Robert N. Gantner

We present a heuristic argument for the propensity of Topological Data Analysis (TDA) to detect early warning signals of critical transitions in financial time series. Our argument is based on the Log-Periodic Power Law Singularity (LPPLS)…

Statistical Finance · Quantitative Finance 2023-04-17 Samuel W. Akingbade , Marian Gidea , Matteo Manzi , Vahid Nateghi

By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

General Finance · Quantitative Finance 2010-02-07 Wanfeng Yan , Ryan Woodard , Didier Sornette

The functioning of the cryptocurrency Bitcoin relies on the open availability of the entire history of its transactions. This makes it a particularly interesting socio-economic system to analyse from the point of view of network science.…

By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

Statistical Finance · Quantitative Finance 2010-07-08 Zhi-Qiang Jiang , Wei-Xing Zhou , Didier Sornette , Ryan Woodard , Ken Bastiaensen , Peter Cauwels

Renowned method of log-periodic power law(LPPL) is one of the few ways that a financial market crash could be predicted. Alongside with LPPL, this paper propose a novel method of stock market crash using white box model derived from simple…

Statistical Finance · Quantitative Finance 2021-08-27 HyeonJun Kim

We present an advance bubble detection methodology based on the Log Periodic Power Law Singularity (LPPLS) confidence indicator for the early causal identification of positive and negative bubbles in the Chinese stock market using the daily…

Statistical Finance · Quantitative Finance 2020-08-26 Min Shu , Wei Zhu

In this study, we perform a novel analysis of the 2015 financial bubble in the Chinese stock market by calibrating the Log Periodic Power Law Singularity (LPPLS) model to two important Chinese stock indices, SSEC and SZSC, from early 2014…

Statistical Finance · Quantitative Finance 2019-06-14 Min Shu , Wei Zhu

Based on 1-minute price changes recorded since year 2012, the fluctuation properties of the rapidly-emerging Bitcoin (BTC) market are assessed over chosen sub-periods, in terms of return distributions, volatility autocorrelation, Hurst…

Statistical Finance · Quantitative Finance 2018-07-20 Stanisław Drożdż , Robert Gębarowski , Ludovico Minati , Paweł Oświęcimka , Marcin Wątorek

This paper analyses the high-frequency intraday Bitcoin dataset from 2019 to 2022. During this time frame, the Bitcoin market index exhibited two distinct periods, 2019-20 and 2021-22, characterized by an abrupt change in volatility. The…

Statistical Finance · Quantitative Finance 2025-06-24 Yaoyue Tang , Karina Arias-Calluari , M. N. Najafi , Michael S. Harré , Fernando Alonso-Marroquin

Our study empirically predicts the bubble of non-fungible tokens (NFTs): transferable and unique digital assets on public blockchains. This topic is important because, despite their strong market growth in 2021, NFTs on a project basis have…

Statistical Finance · Quantitative Finance 2022-06-17 Kensuke Ito , Kyohei Shibano , Gento Mogi

The bitcoin price has surged in recent years and it has also exhibited phases of rapid decay. In this paper we address the question to what extent this novel cryptocurrency market can be viewed as a classic or semi-efficient market. Novel…

Statistical Finance · Quantitative Finance 2019-06-26 Josselin Garnier , Knut Solna

We propose a novel model, the Hyped Log-Periodic Power Law Model (HLPPL), to the problem of quantifying and detecting financial bubbles, an ever-fascinating one for academics and practitioners alike. Bubble labels are generated using a…

Computational Finance · Quantitative Finance 2025-10-14 Zheng Cao , Xingran Shao , Yuheng Yan , Helyette Geman

We show that infinite divisibility of a trading commodity leads to a self-sustained price bubble when traders use adaptive investment strategies. The adaptive strategy can be viewed as a psychological response of a trader to the situation…

Trading and Market Microstructure · Quantitative Finance 2021-01-01 Misha Perepelitsa , Ilya Timofeyev

We study the information dynamics between the largest Bitcoin exchange markets during the bubble in 2017-2018. By analysing high-frequency market-microstructure observables with different information theoretic measures for dynamical…

Statistical Finance · Quantitative Finance 2022-05-04 Vaiva Vasiliauskaite , Fabrizio Lillo , Nino Antulov-Fantulin

What is the role of social interactions in the creation of price bubbles? Answering this question requires obtaining collective behavioural traces generated by the activity of a large number of actors. Digital currencies offer a unique…

Physics and Society · Physics 2014-08-11 David Garcia , Claudio Juan Tessone , Pavlin Mavrodiev , Nicolas Perony

We present a detailed methodological study of the application of the modified profile likelihood method for the calibration of nonlinear financial models characterised by a large number of parameters. We apply the general approach to the…

Statistical Finance · Quantitative Finance 2016-02-29 Vladimir Filimonov , Guilherme Demos , Didier Sornette

This study investigates the application of the Light Gradient Boosting Machine (LGBM) model for both deterministic and probabilistic forecasting of Bitcoin realized volatility. Utilizing a comprehensive set of 69 predictors -- encompassing…

Machine Learning · Computer Science 2025-11-26 Grzegorz Dudek , Mateusz Kasprzyk , Paweł Pełka

Bitcoin's price has been described as following a power law (PL) in time, $P \sim t^{\beta}$ with $\hat\beta \approx 5.7$ over 2010-2026. We test this claim using the Clauset-Shalizi-Newman protocol applied to Bitcoin's tail-relevant…

Applications · Statistics 2026-05-21 Carlos Baquero , Raquel Menezes
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