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Since the Great Financial Crisis (GFC), the use of stress tests as a tool for assessing the resilience of financial institutions to adverse financial and economic developments has increased significantly. One key part in such exercises is…

Econometrics · Economics 2022-02-08 Martin Guth

Statistical significance testing of differences in values of metrics like recall, precision and balanced F-score is a necessary part of empirical natural language processing. Unfortunately, we find in a set of experiments that many commonly…

Computation and Language · Computer Science 2007-05-23 Alexander Yeh

Studies to compare the survival of two or more groups using time-to-event data are of high importance in medical research. The gold standard is the log-rank test, which is optimal under proportional hazards. As the latter is no simple…

Methodology · Statistics 2022-10-25 Ina Dormuth , Tiantian Liu , Jin Xu , Markus Pauly , Marc Ditzhaus

We develop a nonparametric test for deciding whether volatility of an asset follows a standard semimartingale process, with paths of finite quadratic variation, or a rough process with paths of infinite quadratic variation. The test…

Statistics Theory · Mathematics 2024-07-16 Carsten H. Chong , Viktor Todorov

We consider a bivariate process $X_t=(X^1_t,X^2_t)$, which is observed on a finite time interval $[0,T]$ at discrete times $0,\Delta_n,2\Delta_n,....$ Assuming that its two components $X^1$ and $X^2$ have jumps on $[0,T]$, we derive tests…

Statistics Theory · Mathematics 2009-08-14 Jean Jacod , Viktor Todorov

Corporate earnings announcements unpack large bundles of public information that should, in efficient markets, trigger jumps in stock prices. Testing this implication is difficult in practice, as it requires noisy high-frequency data from…

Econometrics · Economics 2026-01-16 Kim Christensen , Allan Timmermann , Bezirgen Veliyev

Standard high-dimensional factor models assume that the comovements in a large set of variables could be modeled using a small number of latent factors that affect all variables. In many relevant applications in economics and finance,…

Econometrics · Economics 2022-02-08 Antoine Djogbenou , Razvan Sufana

Motivated by the need to statistically quantify differences between modern (complex) data-sets which commonly result as high-resolution measurements of stochastic processes varying over a continuum, we propose novel testing procedures to…

Methodology · Statistics 2022-06-15 Anne van Delft , Holger Dette

Tests for proportional hazards assumption concerning specified covariates or groups of covariates are proposed. The class of alternatives is wide: log-hazard rates under different values of covariates may cross, approach, go away. The data…

Statistics Theory · Mathematics 2020-01-20 Vilijandas Bagdonavičius , Rūta Levulienė

To assess the quality of a test suite, one can rely on mutation testing, which computes whether the overall test cases are adequately exercising the covered lines. However, this high level of granularity may overshadow the quality of…

Software Engineering · Computer Science 2022-03-25 Victor Veloso , Andre Hora

An extensive empirical literature documents a generally negative correlation, named the "leverage effect," between asset returns and changes of volatility. It is more challenging to establish such a return-volatility relationship for jumps…

Statistics Theory · Mathematics 2017-12-11 Markus Bibinger , Christopher Neely , Lars Winkelmann

Hundreds of applications utilize frequency response characterization of a system. Identification of frequency response requires long experimentation time, use of transformation techniques and other difficulties associated with isolating the…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Resmi Suresh , Raghunathan Rengaswamy

The possibility that price dynamics is affected by its distance from a moving average has been recently introduced as new statistical tool. The purpose is to identify the tendency of the price dynamics to be attractive or repulsive with…

Physics and Society · Physics 2009-11-11 V. Alfi , F. Coccetti , M. Marotta , L. Pietronero , M. Takayasu

Parametric statistical methods play a central role in analyzing risk through its underlying frequency and severity components. Given the wide availability of numerical algorithms and high-speed computers, researchers and practitioners often…

Applications · Statistics 2025-06-17 Michael R. Powers , Jiaxin Xu

We set up a structural model to study credit risk for a portfolio containing several or many credit contracts. The model is based on a jump--diffusion process for the risk factors, i.e. for the company assets. We also include correlations…

Risk Management · Quantitative Finance 2008-12-02 Rudi Schäfer , Markus Sjölin , Andreas Sundin , Michal Wolanski , Thomas Guhr

We relate models based on costs of switching beliefs (e.g. due to inattention) to hypothesis tests. Specifically, for an inference problem with a penalty for mistakes and for switching the inferred value, a band of inaction is optimal. We…

General Economics · Economics 2018-08-30 Samuel N. Cohen , Timo Henckel , Gordon D. Menzies , Johannes Muhle-Karbe , Daniel J. Zizzo

Financial fraud detection is an important problem with a number of design aspects to consider. Issues such as algorithm selection and performance analysis will affect the perceived ability of proposed solutions, so for auditors and…

Cryptography and Security · Computer Science 2016-01-07 J. West , Maumita Bhattacharya

We consider the problem of testing the parametric form of the volatility for high frequency data. It is demonstrated that in the presence of microstructure noise commonly used tests do not keep the preassigned level and are inconsistent.…

Statistics Theory · Mathematics 2012-11-26 Mathias Vetter , Holger Dette

We develop further the spot volatility estimator introduced in Hoffmann, Munk and Schmidt-Hieber (2012) from a practical point of view and make it useful for the analysis of high-frequency financial data. In a first part, we adjust the…

Applications · Statistics 2013-09-25 Till Sabel , Johannes Schmidt-Hieber , Axel Munk

We propose methods to infer jumps of a semi-martingale, which describes long-term price dynamics, based on discrete, noisy, high-frequency observations. Different to the classical model of additive, centered market microstructure noise, we…

Statistical Finance · Quantitative Finance 2025-11-18 Markus Bibinger , Nikolaus Hautsch , Alexander Ristig