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The paper constructs a multi-variate Hawkes process model of Bitcoin block arrivals and price jumps. Hawkes processes are selfexciting point processes that can capture the self- and cross-excitation effects of block mining and Bitcoin price…

Networking and Internet Architecture · Computer Science 2022-04-01 Rui Luo , Vikram Krishnamurthy , Erik Blasch

We use the statistical properties of Shannon entropy estimator and Kullback-Leibler divergence to study the predictability of ultra-high frequency financial data. We develop a statistical test for the predictability of a sequence based on…

Statistical Finance · Quantitative Finance 2024-05-20 Andrey Shternshis , Stefano Marmi

Accurately assessing financial risk requires capturing both individual asset volatility and the complex, asymmetric dependence structures that emerge during extreme market events. While modern diffusion-based models have advanced…

Machine Learning · Statistics 2026-05-20 David Huk , Dongshan Wang , Miha Bresar

Bitcoin, with its ever-growing popularity, has demonstrated extreme price volatility since its origin. This volatility, together with its decentralised nature, make Bitcoin highly subjective to speculative trading as compared to more…

Statistical Finance · Quantitative Finance 2024-06-13 Yanzhao Zou , Dorien Herremans

There is a growing concern in recent years over the potential formation of bubbles in the Chinese real estate market. This paper aims to conduct a series of bubble diagnostic analysis over nine representative Chinese cities from two…

Risk Management · Quantitative Finance 2018-01-12 Tianhao Zhi , Zhongfei Li , Zhiqiang Jiang , Lijian Wei , Didier Sornette

Understanding the variations in trading price (volatility), and its response to exogenous information, is a well-researched topic in finance. In this study, we focus on finding stable and accurate volatility predictors for a relatively new…

Statistical Finance · Quantitative Finance 2022-12-07 M. Eren Akbiyik , Mert Erkul , Killian Kaempf , Vaiva Vasiliauskaite , Nino Antulov-Fantulin

This paper presents an exclusive classification of the largest crashes in Dow Jones Industrial Average (DJIA), SP500 and NASDAQ in the past century. Crashes are objectively defined as the top-rank filtered drawdowns (loss from the last…

Statistical Mechanics · Physics 2009-11-10 Anders Johansen

The aim of this paper is to investigate the effect of a novel method called linear law-based feature space transformation (LLT) on the accuracy of intraday price movement prediction of cryptocurrencies. To do this, the 1-minute interval…

Statistical Finance · Quantitative Finance 2023-05-09 Marcell T. Kurbucz , Péter Pósfay , Antal Jakovác

This review is a partial synthesis of the book ``Why stock market crash'' (Princeton University Press, January 2003), which presents a general theory of financial crashes and of stock market instabilities that his co-workers and the author…

Statistical Mechanics · Physics 2009-11-10 D. Sornette

This paper proposes a simple and parsimonious discrete-time simulation model to describe the endogenous formation and periodic collapse of financial bubbles. While existing literature has extensively explored the statistical properties of…

Trading and Market Microstructure · Quantitative Finance 2026-05-05 Naohiro Yoshida

The security of Bitcoin protocols is deeply dependent on the incentives provided to miners, which come from a combination of block rewards and transaction fees. As Bitcoin experiences more halving events, the protocol reward converges to…

Cryptography and Security · Computer Science 2025-09-12 Roozbeh Sarenche , Alireza Aghabagherloo , Svetla Nikova , Bart Preneel

Bubbles in the interstellar medium are produced by astrophysical sources, which continuously or explosively deposit large amount of energy into the ambient medium. These expanding bubbles can drive shocks in front of them, which dynamics is…

High Energy Astrophysical Phenomena · Physics 2015-06-12 M. V. Medvedev , A. Loeb

The problem of anomaly detection has been studied for a long time. In short, anomalies are abnormal or unlikely things. In financial networks, thieves and illegal activities are often anomalous in nature. Members of a network want to detect…

Machine Learning · Computer Science 2017-02-28 Thai Pham , Steven Lee

Bitcoin constructs temporal order internally rather than synchronizing to any external clock. Empirical evidence shows that its time evolution is non-continuous, probabilistic, and self-regulated. Block discovery follows a stochastic…

Cryptography and Security · Computer Science 2025-11-20 Bin Chen

In this study, we consider a four-regime bubble model under the assumption of time-varying volatility and propose the algorithm of estimating the break dates with volatility correction: First, we estimate the emerging date of the explosive…

Econometrics · Economics 2023-06-06 Eiji Kurozumi , Anton Skrobotov

Time series forecasting is a key tool in financial markets, helping to predict asset prices and guide investment decisions. In highly volatile markets, such as cryptocurrencies like Bitcoin (BTC) and Ethereum (ETH), forecasting becomes more…

Trading and Market Microstructure · Quantitative Finance 2026-02-17 Mabsur Fatin Bin Hossain , Lubna Zahan Lamia , Md Mahmudur Rahman , Md Mosaddek Khan

We propose two rational expectation models of transient financial bubbles with heterogeneous arbitrageurs and positive feedbacks leading to self-reinforcing transient stochastic faster-than-exponential price dynamics. As a result of the…

General Finance · Quantitative Finance 2009-11-11 Li Lin , Didier Sornette

Cryptocurrency markets are experiencing rapid growth, but this expansion comes with significant challenges, particularly in predicting cryptocurrency prices for traders in the U.S. In this study, we explore how deep learning and machine…

Machine Learning · Computer Science 2025-08-05 Md Zahidul Islam , Md Shafiqur Rahman , Md Sumsuzoha , Babul Sarker , Md Rafiqul Islam , Mahfuz Alam , Sanjib Kumar Shil

This study investigates the transmission of monetary policy narratives to Bitcoin prices, distinguishing the impact of ex-ante expectations from ex-post interest rate implementation. We introduce a high-frequency Monetary Policy…

The log-periodic power law (LPPL) is a model of asset prices during endogenous bubbles. A major open issue is to verify the presence of LPPL in price sequences and to estimate the LPPL parameters. Estimation is complicated by the fact that…

Statistical Finance · Quantitative Finance 2011-02-01 Vincenzo Liberatore
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