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The PC algorithm is the state-of-the-art algorithm for causal structure discovery on observational data. It can be computationally expensive in the worst case due to the conditional independence tests are performed in an…

Machine Learning · Computer Science 2021-09-13 Kai Zhang , Chao Tian , Kun Zhang , Todd Johnson , Xiaoqian Jiang

We investigate the online detection of changepoints in the distribution of a sequence of observations using degenerate U-statistic-type processes. We study weighted versions of: an ordinary, CUSUM-type scheme, a Page-CUSUM-type scheme, and…

Statistics Theory · Mathematics 2025-10-28 Cooper Boniece , Lajos Horvath , Lorenzo Trapani

In this paper we derive control charts for the variance of a Gaussian process using the likelihood ratio approach, the generalized likelihood ratio approach, the sequential probability ratio method and a generalized sequential probability…

Applications · Statistics 2012-09-24 Taras Lazariv , Wolfgang Schmid , Svitlana Zabolotska

An aspect of interest in surveillance of diseases is whether the survival time distribution changes over time. By following data in health registries over time, this can be monitored, either in real time or retrospectively. With relevant…

Applications · Statistics 2025-03-10 Jimmy Huy Tran , Jan Terje Kvaløy , Hartwig Kørner

For general repeated measures designs the Wald-type statistic (WTS) is an asymptotically valid procedure allowing for unequal covariance matrices and possibly non-normal multivariate observations. The drawback of this procedure is the poor…

Methodology · Statistics 2016-06-24 Sarah Friedrich , Edgar Brunner , Markus Pauly

In Statistical Process Control, control charts are often used to detect undesirable behavior of sequentially observed quality characteristics. Designing a control chart with desirably low False Alarm Rate (FAR) and detection delay ($ARL_1$)…

Methodology · Statistics 2024-11-07 Takayuki Iguchi , Andrés F. Barrientos , Eric Chicken , Debajyoti Sinha

Among the various procedures used to detect potential changes in a stochastic process the moving sum algorithms are very popular due to their intuitive appeal and good statistical performance. One of the important design parameters of a…

Methodology · Statistics 2009-08-21 Swarnendu Kar , Kishan G. Mehrotra , Pramod K. Varshney

Sophisticated gated recurrent neural network architectures like LSTMs and GRUs have been shown to be highly effective in a myriad of applications. We develop an un-gated unit, the statistical recurrent unit (SRU), that is able to learn long…

Machine Learning · Computer Science 2017-03-02 Junier B. Oliva , Barnabas Poczos , Jeff Schneider

The Seemingly Unrelated Regressions (SUR) model is a wide used estimation procedure in econometrics, insurance and finance, where very often, the regression model contains more than one equation. Unknown parameters, regression coefficients…

Methodology · Statistics 2021-07-05 Giovanni Saraceno , Fatemah Alqallaf , Claudio Agostinelli

Modern longitudinal data, for example from wearable devices, measures biological signals on a fixed set of participants at a diverging number of time points. Traditional statistical methods are not equipped to handle the computational…

Methodology · Statistics 2023-03-23 Lan Luo , Jingshen Wang , Emily C. Hector

This paper revisits the classical problem of determining the bias of a weighted coin, where the bias is known to be either $p = 1/2 + \varepsilon$ or $p = 1/2 - \varepsilon$, while minimizing the expected number of coin tosses and the error…

Statistics Theory · Mathematics 2025-10-20 Chirag Pabbaraju , Gregory Valiant , Rishi Verma

Random Matrix Theory (RMT) is a powerful statistical tool to model spectral fluctuations. This approach has also found fruitful application in Quantum Chromodynamics (QCD). Importantly, RMT provides very efficient means to separate…

High Energy Physics - Lattice · Physics 2016-08-25 T. Guhr , J. -Z. Ma , S. Meyer , T. Wilke

Tests of independence are an important tool in applications, specifically in connection with the detection of a relationship between variables; they also have initiated many developments in statistical theory. In the present paper we build…

Statistics Theory · Mathematics 2026-05-13 L. Baringhaus , R. Grübel

We study failure rate monotonicity and generalized convex transform stochastic ordering properties of random variables, with a concern on applications. We are especially interested in the effect of a tail weight iteration procedure to…

Probability · Mathematics 2026-01-14 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

Randomized algorithms for deciding satisfiability were shown to be effective in solving problems with thousands of variables. However, these algorithms are not complete. That is, they provide no guarantee that a satisfying assignment, if…

Artificial Intelligence · Computer Science 2007-05-23 Deborah East , Miroslaw Truszczynski

We consider the online monitoring of multivariate streaming data for changes that are characterized by an unknown subspace structure manifested in the covariance matrix. In particular, we consider the covariance structure changes from an…

Statistics Theory · Mathematics 2021-04-12 Liyan Xie , Yao Xie , George V. Moustakides

Asymptotic properties of random graph sequences, like occurrence of a giant component or full connectivity in Erd\H{o}s-R\'enyi graphs, are usually derived with very specific choices for defining parameters. The question arises to which…

Probability · Mathematics 2024-02-20 B. J. K. Kleijn , S. Rizzelli

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

Econometrics · Economics 2025-11-27 Bruno Fava

This note introduces a new Bayesian control chart to compare two processes by monitoring the ratio of their percentiles under Weibull assumption. Both in-control and out-of-control parameters are supposed unknown. The chart analyses the…

Applications · Statistics 2015-07-01 Pasquale Erto

The aim of online monitoring is to issue an alarm as soon as there is significant evidence in the collected observations to suggest that the underlying data generating mechanism has changed. This work is concerned with open-end,…

Statistics Theory · Mathematics 2020-07-21 Mark Holmes , Ivan Kojadinovic