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Related papers: CUSUM ARL - Conditional or Unconditional?

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We investigate sequential change point estimation and detection in univariate nonparametric settings, where a stream of independent observations from sub-Gaussian distributions with a common variance factor and piecewise-constant but…

Statistics Theory · Mathematics 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

We consider regularly varying random vectors. Our goal is to estimate in a non-parametric way some characteristics related to conditioning on an extreme event, like the tail dependence coefficient. We introduce a quasi-spectral…

Methodology · Statistics 2015-02-26 Rafał Kulik , Zhigang Tong

We clarify relationships between conditional (CAR) and simultaneous (SAR) autoregressive models. We review the literature on this topic and find that it is mostly incomplete. Our main result is that a SAR model can be written as a unique…

Statistics Theory · Mathematics 2017-10-20 Jay M. Ver Hoef , Ephraim M. Hanks , Mevin B. Hooten

Many regulatory and analytic problems require that a prohibited variable influence a decision only through a designated allowable channel -- a conditional-independence requirement that arises in path-specific fairness, the handling of…

Machine Learning · Statistics 2026-05-19 Zou Yang , Sophia Xiao , Bijan Mazaheri

Several procedures have been recently proposed to test the simplifying assumption for conditional copulas. Instead of considering pointwise conditioning events, we study the constancy of the conditional dependence structure when some…

Methodology · Statistics 2020-08-24 Alexis Derumigny , Jean-David Fermanian , Aleksey Min

Detecting abrupt changes in the community structure of a network from noisy observations is a fundamental problem in statistics and machine learning. This paper presents an online change detection algorithm called Spectral-CUSUM to detect…

Statistics Theory · Mathematics 2023-03-17 Minghe Zhang , Liyan Xie , Yao Xie

This article considers testing for mean-level shifts in functional data. The class of the famous Darling-Erd\H{o}s-type cumulative sums (CUSUM) procedures is extended to functional time series under short range dependence conditions which…

Statistics Theory · Mathematics 2016-02-26 Leonid Torgovitski

As a pivotal component to attaining generalizable solutions in human intelligence, reasoning provides great potential for reinforcement learning (RL) agents' generalization towards varied goals by summarizing part-to-whole arguments and…

Machine Learning · Computer Science 2023-05-18 Wenhao Ding , Haohong Lin , Bo Li , Ding Zhao

Growth charts are often more informative when they are customized per subject, taking into account prior measurements and possibly other covariates of the subject. We study a global semiparametric quantile regression model that has the…

Statistics Theory · Mathematics 2007-06-13 Ying Wei , Xuming He

Treatment effect estimates are often available from randomized controlled trials as a single average treatment effect for a certain patient population. Estimates of the conditional average treatment effect (CATE) are more useful for…

Methodology · Statistics 2023-09-12 Wouter A. C. van Amsterdam , Rajesh Ranganath

Nonparametric control charts that can detect arbitrary distributional changes are highly desirable due to their flexibility to adapt to different distributional assumptions and distributional changes. However, most of such control charts in…

Methodology · Statistics 2017-12-15 Jun Li

Recently, Forr\'e (arXiv:2104.11547, 2021) introduced transitional conditional independence, a notion of conditional independence that provides a unified framework for both random and non-stochastic variables. The original paper establishes…

Statistics Theory · Mathematics 2026-03-26 Leihao Chen

AI deployed in many real-world use cases should be capable of adapting to novelties encountered after deployment. Here, we consider a challenging, under-explored and realistic continual adaptation problem: a deployed AI agent is…

Machine Learning · Computer Science 2024-12-16 Amanda Rios , Ibrahima Ndiour , Parual Datta , Jerry Sydir , Omesh Tickoo , Nilesh Ahuja

Causal representation learning (CRL) and traditional representation learning have largely developed along different trajectories. Traditional representation learning has been driven mainly by applications and empirical objectives, whereas…

Machine Learning · Computer Science 2026-05-21 Yan Li , Yuewen Sun , Shaoan Xie , Gongxu Luo , Yunlong Deng , Kun Zhang , Guangyi Chen

A major problem with Active Learning (AL) is high training costs since models are typically retrained from scratch after every query round. We start by demonstrating that standard AL on neural networks with warm starting fails, both to…

Machine Learning · Computer Science 2023-12-14 Arnav Das , Gantavya Bhatt , Megh Bhalerao , Vianne Gao , Rui Yang , Jeff Bilmes

The main objective of Prognostics and Health Management is to estimate the Remaining Useful Lifetime (RUL), namely, the time that a system or a piece of equipment is still in working order before starting to function incorrectly. In recent…

Machine Learning · Computer Science 2023-01-02 Alireza Javanmardi , Eyke Hüllermeier

In recent years a popular nonparametric model for coarsened data is an assumption on the coarsening mechanism called coarsening at random (CAR). It has been conjectured in several papers that this assumption cannot be tested by the data,…

Statistics Theory · Mathematics 2007-06-13 Eric A. Cator

The primary outcome of Randomized clinical Trials (RCTs) are typically dichotomous, continuous, multivariate continuous, or time-to-event. However, what if this outcome is unstructured, e.g., a list of variables of mixed types, longitudinal…

We show optimality, in a well-defined sense, using cumulative sum (CUSUM) charts for detecting changes in distributions. We consider a setting with multiple changes between two known distributions. This result advocates the use of…

Methodology · Statistics 2012-05-10 F. Din-Houn Lau , Axel Gandy

Knowing the effect of an intervention is critical for human decision-making, but current approaches for causal effect estimation rely on manual data collection and structuring, regardless of the causal assumptions. This increases both the…

Machine Learning · Computer Science 2024-10-29 Nikita Dhawan , Leonardo Cotta , Karen Ullrich , Rahul G. Krishnan , Chris J. Maddison