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By capturing outliers, volatility clustering, and tail dependence in the asset return distribution, we build a sophisticated model to predict the downside risk of the global financial market. We further develop a dynamic regime switching…

Econometrics · Economics 2025-06-17 Yin Luo , Sheng Wang , Javed Jussa

Value at risk and expected shortfall are increasingly popular tail risk measures in the financial risk management field. Both academia and financial institutions are working to improve tail risk forecasts in order to meet the requirements…

Risk Management · Quantitative Finance 2022-02-23 Zhengkun Li

Multifractality in time series analysis characterizes the presence of multiple scaling exponents, indicating heterogeneous temporal structures and complex dynamical behaviors beyond simple monofractal models. In the context of digital…

Statistical Finance · Quantitative Finance 2025-10-16 Stanisław Drożdż , Robert Kluszczyński , Jarosław Kwapień , Marcin Wątorek

We study the deployment performance of machine learning based enforcement systems used in cryptocurrency anti money laundering (AML). Using forward looking and rolling evaluations on Bitcoin transaction data, we show that strong static…

Machine Learning · Computer Science 2026-04-27 Khem Raj Bhatt , Krishna Sharma

In this paper, we develop a comprehensive asymptotic and bootstrap theory for checkerboard-based estimation of lower and upper tail copulas under unknown marginal distributions. The estimator is constructed via local bilinear (checkerboard)…

Methodology · Statistics 2026-05-20 Mayukh Choudhury , Debraj Das , Sujit Ghosh

Reducing financial risk is of paramount importance to investors, financial institutions, and corporations. Since the pioneering contribution of Johnson (1960), the optimal hedge ratio based on futures is regularly utilized. The current…

Risk Management · Quantitative Finance 2024-08-02 Abdulnasser Hatemi-J

The cryptocurrency market is amongst the fastest-growing of all the financial markets in the world. Unlike traditional markets, such as equities, foreign exchange and commodities, cryptocurrency market is considered to have larger…

General Finance · Quantitative Finance 2020-04-06 Fan Fang , Waichung Chung , Carmine Ventre , Michail Basios , Leslie Kanthan , Lingbo Li , Fan Wu

Tail Gini functional is a measure of tail risk variability for systemic risks, and has many applications in banking, finance and insurance. Meanwhile, there is growing attention on aymptotic independent pairs in quantitative risk…

Methodology · Statistics 2023-09-13 Zhaowen Wang , Liujun Chen , Deyuan Li

Fully describing the entire data set is essential in multivariate risk assessment, since moderate levels of one variable can influence another, potentially leading it to be extreme. Additionally, modelling both non-extreme and extreme…

Methodology · Statistics 2025-03-11 Lídia M. André , Jonathan A. Tawn

In the paper, we characterize the asymptotic behavior of the implied volatility of a basket call option at large and small strikes in a variety of settings with increasing generality. First, we obtain an asymptotic formula with an error…

Pricing of Securities · Quantitative Finance 2014-06-03 Archil Gulisashvili , Peter Tankov

This paper uses new and recently established methodologies to study the evolutionary dynamics of the cryptocurrency market, and compares the findings with that of the equity market. We begin by applying random matrix theory and principal…

Statistical Finance · Quantitative Finance 2022-04-20 Nick James

As cryptocurrencies gain popularity and credibility, marketplaces for cryptocurrencies are growing in importance. Understanding the dynamics of these markets can help to assess how viable the cryptocurrnency ecosystem is and how design…

Computers and Society · Computer Science 2018-04-25 Peter M Krafft , Nicolás Della Penna , Alex Pentland

The replacement of indicator functions by integrated beta kernels in the definition of the empirical stable tail dependence function is shown to produce a smoothed version of the latter estimator with the same asymptotic distribution but…

Methodology · Statistics 2017-09-13 Anna Kiriliouk , Johan Segers , Laleh Tafakori

The t copula is often used in risk management as it allows for modelling tail dependence between risks and it is simple to simulate and calibrate. However, the use of a standard t copula is often criticized due to its restriction of having…

Probability · Mathematics 2010-11-11 Xiaolin Luo , Pavel V. Shevchenko

Blockchain finance has become a part of the world financial system, most typically manifested in the attention to the price of Bitcoin. However, a great deal of work is still limited to using technical indicators to capture Bitcoin price…

Statistical Finance · Quantitative Finance 2022-05-03 Panpan Li , Shengbo Gong , Shaocong Xu , Jiajun Zhou , Yu Shanqing , Qi Xuan

This paper investigates the dynamics of risk transmission in cryptocurrency markets and proposes a novel framework for volatility forecasting. The framework uncovers two key empirical facts: the asymmetric amplification of volatility…

General Economics · Economics 2025-07-31 Sicheng Fu , Fangfang Zhu , Xiangdong Liu

Cryptocurrencies are a type of digital money meant to provide security and anonymity while using cryptography techniques. Although cryptocurrencies represent a breakthrough and provide some important benefits, their usage poses some risks…

General Finance · Quantitative Finance 2024-01-22 Ana Fernández Vilas , Rebeca P. Díaz Redondo , Daniel Couto Cancela , Alejandro Torrado Pazos

We analyze the time series of four major cryptocurrencies (Bitcoin, Ethereum, Litecoin, and Ripple) before the digital market crash at the end of 2017 - beginning 2018. We introduce a methodology that combines topological data analysis with…

Mathematical Finance · Quantitative Finance 2018-09-05 Marian Gidea , Daniel Goldsmith , Yuri Katz , Pablo Roldan , Yonah Shmalo

We propose a set of dependence measures that are non-linear, local, invariant to a wide range of transformations on the marginals, can show tail and risk asymmetries, are always well-defined, are easy to estimate and can be used on any…

Statistical Finance · Quantitative Finance 2023-09-04 Aleksy Leeuwenkamp , Wentao Hu

We address an important yet challenging problem - modeling high-dimensional dependencies across multivariates such as financial indicators in heterogeneous markets. In reality, a market couples and influences others over time, and the…

Statistical Finance · Quantitative Finance 2023-05-16 Jia Xu , Longbing Cao