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We study two nonparametric tests of the hypothesis that a sequence of independent observations is identically distributed against the alternative that at a single change point the distribution changes. The tests are based on the Cramer-von…

Statistics Theory · Mathematics 2020-10-15 Rasmus Erlemann , Richard Lockhart , Rihan Yao

Connectedness measures the degree at which a time-series variable spills over volatility to other variables compared to the rate that it is receiving. The idea is based on the percentage of variance decomposition from one variable to the…

Econometrics · Economics 2024-05-07 Abdulnasser Hatemi-J

Split-plot or repeated measures designs are frequently used for planning experiments in the life or social sciences. Typical examples include the comparison of different treatments over time, where both factors may possess an additional…

Statistics Theory · Mathematics 2017-10-13 Maria Umlauft , Marius Placzek , Frank Konietschke , Markus Pauly

Many financial and economic variables, including financial returns, exhibit nonlinear dependence, heterogeneity and heavy-tailedness. These properties may make problematic the analysis of (non-)efficiency and volatility clustering in…

Econometrics · Economics 2023-12-01 Rustam Ibragimov , Rasmus Pedersen , Anton Skrobotov

This paper develops a two-step estimation methodology, which allows us to apply catastrophe theory to stock market returns with time-varying volatility and model stock market crashes. Utilizing high frequency data, we estimate the daily…

Statistical Finance · Quantitative Finance 2013-05-23 Jozef Barunik , Jiri Kukacka

Econometric applications with multi-way clustering often feature a small number of effective clusters or heavy-tailed data, making standard cluster-robust and bootstrap inference unreliable in finite samples. In this paper, we develop a…

Methodology · Statistics 2026-01-14 Wenxuan Guo , Panos Toulis , Yuhao Wang

In financial markets, greater volatility is usually considered synonym of greater risk and instability. However, large market downturns and upturns are often preceded by long periods where price returns exhibit only small fluctuations. To…

Statistical Finance · Quantitative Finance 2018-06-13 Davide Valenti , Giorgio Fazio , Bernardo Spagnolo

An important problem in time series analysis is the discrimination between non-stationarity and longrange dependence. Most of the literature considers the problem of testing specific parametric hypotheses of non-stationarity (such as a…

Statistics Theory · Mathematics 2016-07-19 Philip Preuß , Kemal Sen , Holger Dette

Shannon entropy is the most common metric to measure the degree of randomness of time series in many fields, ranging from physics and finance to medicine and biology. Real-world systems may be in general non stationary, with an entropy…

Statistical Finance · Quantitative Finance 2023-06-08 Andrey Shternshis , Piero Mazzarisi

This paper considers the problem of testing if a sequence of means $(\mu_t)_{t =1,\ldots ,n }$ of a non-stationary time series $(X_t)_{t =1,\ldots ,n }$ is stable in the sense that the difference of the means $\mu_1$ and $\mu_t$ between the…

Methodology · Statistics 2019-01-08 Holger Dette , Weichi Wu

Stock markets can be characterized by fat tails in the volatility distribution, clustering of volatilities and slow decay of their time correlations. For an explanation models with several mechanisms and consequently many parameters as the…

Statistical Mechanics · Physics 2009-11-07 Friedrich Wagner

The field of property testing of probability distributions, or distribution testing, aims to provide fast and (most likely) correct answers to questions pertaining to specific aspects of very large datasets. In this work, we consider a…

Data Structures and Algorithms · Computer Science 2015-04-27 Clément L. Canonne

Common asset holdings are widely believed to have been the primary vector of contagion in the recent financial crisis. We develop a network approach to the amplification of financial contagion due to the combination of overlapping…

General Finance · Quantitative Finance 2012-11-06 Fabio Caccioli , Munik Shrestha , Cristopher Moore , J. Doyne Farmer

This paper is devoted to testing time series that exhibit behavior related to two or more regimes with different statistical properties. Motivation of our study are two real data sets from plasma physics with observable two-regimes…

Mathematical Physics · Physics 2015-06-04 Janusz gajda , Grzegorz Sikora , Agnieszka Wyłomańska

In many life science experiments or medical studies, subjects are repeatedly observed and measurements are collected in factorial designs with multivariate data. The analysis of such multivariate data is typically based on multivariate…

Methodology · Statistics 2023-05-24 Lubna Amro , Frank Konietschke , Markus Pauly

In an earlier paper Rakonczai et al. (2014), we have emphasized the effective sample size for autocorrelated data. The simulations were based on the block bootstrap methodology. However, the discreteness of the usual block size did not…

Statistics Theory · Mathematics 2016-06-02 László Varga , András Zempléni

For discrete-valued time series, predictive inference cannot be implemented through the construction of prediction intervals to some predetermined coverage level, as this is the case for real-valued time series. To address this problem, we…

Methodology · Statistics 2025-07-23 Maxime Faymonville , Carsten Jentsch , Efstathios Paparoditis

We consider the problem of change point detection for high-dimensional distributions in a location family when the dimension can be much larger than the sample size. In change point analysis, the widely used cumulative sum (CUSUM)…

Statistics Theory · Mathematics 2021-10-14 Mengjia Yu , Xiaohui Chen

We consider a nonlinear polynomial regression model in which we wish to test the null hypothesis of structural stability in the regression parameters against the alternative of a break at an unknown time. We derive the extreme value…

Statistics Theory · Mathematics 2008-10-23 Alexander Aue , Lajos Horváth , Marie Hušková , Piotr Kokoszka

In stochastic simulation, input uncertainty refers to the output variability arising from the statistical noise in specifying the input models. This uncertainty can be measured by a variance contribution in the output, which, in the…

Methodology · Statistics 2021-05-20 Henry Lam , Huajie Qian