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An empirical algorithm is used here to study the stochastic and multifractal nature of nonlinear time series. A parameter can be defined to quantitatively measure the deviation of the time series from a Wiener process so that the…

Statistical Finance · Quantitative Finance 2014-01-08 Chih-Hao Lin , Chia-Seng Chang , Sai-Ping Li

The main goal is to develop and, consequently, compare stochastic methods for detection whether a structural change in panel data occurred at some unknown time or not. Panel data of our interest consist of a moderate or relatively large…

Methodology · Statistics 2016-08-22 Barbora Peštová , Michal Pešta

We discuss systematically two versions of confidence regions: those based on p-values and those based on e-values, a recent alternative to p-values. Both versions can be applied to multiple hypothesis testing, and in this paper we are…

Statistics Theory · Mathematics 2024-03-05 Vladimir Vovk , Ruodu Wang

To evaluate a classification algorithm, it is common practice to plot the ROC curve using test data. However, the inherent randomness in the test data can undermine our confidence in the conclusions drawn from the ROC curve, necessitating…

Methodology · Statistics 2024-05-22 Zheshi Zheng , Bo Yang , Peter Song

The current standard for confidence interval construction in the context of a possibly misspecified model is to use an interval based on the sandwich estimate of variance. These intervals provide asymptotically correct coverage, but…

Methodology · Statistics 2015-12-31 James W. Harmon , Peter D. Hoff

Investigating the problem of setting control limits in the case of parameter uncertainty is more accessible when monitoring the variance because only one parameter has to be estimated. Simply ignoring the induced uncertainty frequently…

Methodology · Statistics 2022-04-19 Sven Knoth

The aim is to identify faulty predicates which have strong effect on program failure. Statistical debugging techniques are amongst best methods for pinpointing defects within the program source code. However, they have some drawbacks. They…

Software Engineering · Computer Science 2016-12-20 Farid Feyzi , Esmaeel Nikravan , Saeed Parsa

Evaluating treatment effect heterogeneity widely informs treatment decision making. At the moment, much emphasis is placed on the estimation of the conditional average treatment effect via flexible machine learning algorithms. While these…

Methodology · Statistics 2021-05-07 Lihua Lei , Emmanuel J. Candès

When interpreting A/B tests, we typically focus only on the statistically significant results and take them by face value. This practice, termed post-selection inference in the statistical literature, may negatively affect both point…

Applications · Statistics 2021-06-01 Alex Deng , Yicheng Li , Jiannan Lu , Vivek Ramamurthy

Whereas confidence intervals are used to assess uncertainty due to unmeasured individuals, confounding intervals can be used to assess uncertainty due to unmeasured attributes. Previously, we have introduced a methodology for computing…

Methodology · Statistics 2025-08-13 Brian Knaeble , R Mitchell Hughes

Score reliability is necessary for establishing a validity argument for an instrument, and is therefore highly important to investigate. Depending on the proposed instrument use and score interpretations, differing degrees of precision in…

Physics Education · Physics 2017-02-23 Robert M. Talbot

Despite advances in Automatic Speech Recognition (ASR), transcription errors persist and require manual correction. Confidence scores, which indicate the certainty of ASR results, could assist users in identifying and correcting errors.…

Human-Computer Interaction · Computer Science 2025-03-20 Korbinian Kuhn , Verena Kersken , Gottfried Zimmermann

Doubly robust estimators have gained popularity in the field of causal inference due to their ability to provide consistent point estimates when either an outcome or exposure model is correctly specified. However, for nonrandomized…

We provide methods to validate and compare sensor outputs, or inference algorithms applied to sensor data, by adapting statistical scoring rules. The reported output should either be in the form of a prediction interval or of a parameter…

Data Analysis, Statistics and Probability · Physics 2015-07-07 A. D. Martin , T. C. A. Molteno , M. Parry

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotation of measurement data relevant, e.g., for designing…

We argue that quantifying software reliability is important in demonstrating that system-level risks are As Low As Reasonably Practicable (ALARP). Furthermore, we demonstrate that such quantification is possible in at least one meaningful…

Software Engineering · Computer Science 2014-05-09 Rob Ashmore

Actual realisations of EPR experiments do {\em not} demonstrate non-locality. A model is presented that should enable non-specialists as well as specialists to understand how easy it is to find realistic explanations for the observations.…

Quantum Physics · Physics 2009-10-30 Caroline H. Thompson

Instrumental variable (IV) analyses are becoming common in health services research and epidemiology. Most IV analyses use naturally occurring instruments, such as distance to a hospital. In these analyses, investigators must assume the…

Methodology · Statistics 2019-07-04 Zach Branson , Luke Keele

Multi-arm bandit experimental designs are increasingly being adopted over standard randomized trials due to their potential to improve outcomes for study participants, enable faster identification of the best-performing options, and/or…

Methodology · Statistics 2025-06-04 Brian M Cho , Aurélien Bibaut , Nathan Kallus

The main purpose of this paper is to introduce first a new family of empirical test statistics for testing a simple null hypothesis when the vector of parameters of interest are defined through a specific set of unbiased estimating…

Statistics Theory · Mathematics 2014-08-19 Narayanaswamy Balakrishnan , Nirian Martín , Leandro Pardo
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