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We describe a modified sequential probability ratio test that can be used to reduce the average sample size required to perform statistical hypothesis tests at specified levels of significance and power. Examples are provided for $z$ tests,…

Methodology · Statistics 2020-12-04 Sandipan Pramanik , Valen E. Johnson , Anirban Bhattacharya

Due to the vast testing space, the increasing demand for effective and efficient testing of deep neural networks (DNNs) has led to the development of various DNN test case prioritization techniques. However, the fact that DNNs can deliver…

Software Engineering · Computer Science 2024-09-17 Jialuo Chen , Jingyi Wang , Xiyue Zhang , Youcheng Sun , Marta Kwiatkowska , Jiming Chen , Peng Cheng

This paper discusses experimental techniques and considerations associated with the transition to high repetition-rate experiments in High Energy Density Physics (HEDP). We particularly highlight approaches to experimentation that become…

Plasma Physics · Physics 2019-06-28 Scott Feister , Patrick L. Poole , Peter V. Heuer

We consider a quantum system that is being continuously monitored, giving rise to a measurement signal. From such a stream of data, information needs to be inferred about the underlying system's dynamics. Here we focus on hypothesis testing…

Quantum Physics · Physics 2024-03-27 Giulio Gasbarri , Matias Bilkis , Elisabet Roda-Salichs , John Calsamiglia

For a set of dependent random variables, without stationary or the strong mixing assumptions, we derive the asymptotic independence between their sums and maxima. Then we apply this result to high-dimensional testing problems, where we…

Methodology · Statistics 2022-05-12 Long Feng , Tiefeng Jiang , Xiaoyun Li , Binghui Liu

In this paper, we propose a nonparametric way to test the hypothesis that time-variation in intraday volatility is caused solely by a deterministic and recurrent diurnal pattern. We assume that noisy high-frequency data from a discretely…

Econometrics · Economics 2026-01-26 Kim Christensen , Ulrich Hounyo , Mark Podolskij

This paper aims to test the number of spikes in a generalized spiked covariance matrix, the spiked eigenvalues of which may be extremely larger or smaller than the non-spiked ones. For a high-dimensional problem, we first propose a general…

Methodology · Statistics 2022-03-15 Dandan Jiang

We develop theoretical finite-sample results concerning the size of wild bootstrap-based heteroskedasticity robust tests in linear regression models. In particular, these results provide an efficient diagnostic check, which can be used to…

Statistics Theory · Mathematics 2023-08-17 Benedikt M. Pötscher , David Preinerstorfer

We study a class of backtests for forecast distributions in which the test statistic depends on a spectral transformation that weights exceedance events by a function of the modeled probability level. The weighting scheme is specified by a…

Risk Management · Quantitative Finance 2019-07-30 Michael B. Gordy , Alexander J. McNeil

The measures of roughness of the volatility in the litterature are based on the realized volatility of high frequency data. Some authors show that this leads to a biased estimate, and does not necessarily indicate roughness of the…

Mathematical Finance · Quantitative Finance 2022-08-01 Fabien Le Floc'h

This paper aims at solving FX market volatility modeling problem and finding the most becoming approach to this task. Validity of two competing approaches, classical econometric generalized conditional heteroscedasticity and mathematical…

Mathematical Finance · Quantitative Finance 2021-04-30 Anton Koshelev

In normal times, it is assumed that financial institutions operating in non-overlapping sectors have complementary and distinct outcomes, typically reflected in mostly uncorrelated outcomes and asset returns. Such is the reasoning behind…

General Economics · Economics 2021-01-19 Sayuj Choudhari , Richard Licheng Zhu

Morphological inflection is a popular task in sub-word NLP with both practical and cognitive applications. For years now, state-of-the-art systems have reported high, but also highly variable, performance across data sets and languages. We…

Computation and Language · Computer Science 2023-05-26 Jordan Kodner , Sarah Payne , Salam Khalifa , Zoey Liu

The aim of this work is to investigate the qualitative behaviour of a financial dynamical system which contains a time delay. We investigate the dynamic response of this system of which variables are interest rate, investment demand, price…

Dynamical Systems · Mathematics 2021-02-23 Y. Çalış , A. Demirci , C. Özemir

Starting from the characterization of extreme-value copulas based on max-stability, large-sample tests of extreme-value dependence for multivariate copulas are studied. The two key ingredients of the proposed tests are the empirical copula…

Methodology · Statistics 2011-05-12 Ivan Kojadinovic , Johan Segers , Jun Yan

Diffusion models play an essential role in modeling continuous-time stochastic processes in the financial field. Therefore, several proposals have been developed in the last decades to test the specification of stochastic differential…

We adapt Higher Criticism (HC) to the comparison of two frequency tables which may -- or may not -- exhibit moderate differences between the tables in some unknown, relatively small subset out of a large number of categories. Our analysis…

Statistics Theory · Mathematics 2023-08-29 David L. Donoho , Alon Kipnis

Upper limits and confidence intervals are a convenient way to present experimental results. With modern experiments producing more and more data, it is often necessary to reduce the volume of the results for convenient distribution. A…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Vladimir Dergachev

Despite their importance in supporting experimental conclusions, standard statistical tests are often inadequate for research areas, like the life sciences, where the typical sample size is small and the test assumptions difficult to…

Methodology · Statistics 2011-04-15 Pietro Berkes , Jozsef Fiser

This paper considers inference in a linear instrumental variable regression model with many potentially weak instruments, in the presence of heterogeneous treatment effects. I first show that existing test procedures, including those that…

Econometrics · Economics 2025-04-24 Luther Yap