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Regression models for continuous outcomes often require a transformation of the outcome, which the user either specify {\it a priori} or estimate from a parametric family. Cumulative probability models (CPMs) nonparametrically estimate the…

Methodology · Statistics 2023-02-21 Chun Li , Yuqi Tian , Donglin Zeng , Bryan E. Shepherd

Propensity score methods have been shown to be powerful in obtaining efficient estimators of average treatment effect (ATE) from observational data, especially under the existence of confounding factors. When estimating, deciding which type…

Methodology · Statistics 2021-09-14 Kangjie Zhou , Jinzhu Jia

In this paper, for the problem of heteroskedastic general linear hypothesis testing (GLHT) in high-dimensional settings, we propose a random integration method based on the reference L2-norm to deal with such problems. The asymptotic…

Statistics Theory · Mathematics 2024-09-19 Mingxiang Cao , Hongwei Zhang , Kai Xu , Daojiang He

We consider the challenge of efficiently detecting changes within a network of sensors, where we also need to minimise communication between sensors and the cloud. We propose an online, communication-efficient method to detect such changes.…

Methodology · Statistics 2024-04-11 Ziyang Yang , Idris A. Eckley , Paul Fearnhead

A new decomposition method for nonstationary signals, named Adaptive Local Iterative Filtering (ALIF), has been recently proposed in the literature. Given its similarity with the Empirical Mode Decomposition (EMD) and its more rigorous…

Numerical Analysis · Mathematics 2022-07-20 Giovanni Barbarino , Antonio Cicone

This paper proposes a multi-label classification algorithm capable of continual learning by applying an Adaptive Resonance Theory (ART)-based clustering algorithm and the Bayesian approach for label probability computation. The ART-based…

Machine Learning · Computer Science 2024-10-04 Naoki Masuyama , Yusuke Nojima , Chu Kiong Loo , Hisao Ishibuchi

We describe likelihood-based statistical tests for use in high energy physics for the discovery of new phenomena and for construction of confidence intervals on model parameters. We focus on the properties of the test procedures that allow…

Data Analysis, Statistics and Probability · Physics 2013-06-25 Glen Cowan , Kyle Cranmer , Eilam Gross , Ofer Vitells

In this letter we propose the Rao test as a simpler alternative to the generalized likelihood ratio test (GLRT) for multisensor fusion. We consider sensors observing an unknown deterministic parameter with symmetric and unimodal noise. A…

Information Theory · Computer Science 2013-08-15 D. Ciuonzo , G. Papa , G. Romano , P. Salvo Rossi , P. K. Willett

In vitro cell biology experiments are routinely used to characterize cell migration properties under various experimental conditions. These experiments can be interpreted using lattice-based random walk models to provide insight into…

Applied Physics · Physics 2024-06-25 Yihan Liu , David J Warne , Matthew J Simpson

This paper introduces the generalized Hausman test as a novel method for detecting non-normality of the latent variable distribution of unidimensional Item Response Theory (IRT) models for binary data. The test utilizes the pairwise maximum…

Methodology · Statistics 2024-02-14 Lucia Guastadisegni , Silvia Cagnone , Irini Moustaki , Vassilis Vasdekis

The Gaussian mixed-effects model driven by a stationary integrated Ornstein-Uhlenbeck process has been used for analyzing longitudinal data having an explicit and simple serial-correlation structure in each individual. However, the…

Statistics Theory · Mathematics 2023-11-07 Takumi Imamura , Hiroki Masuda , Hayato Tajima

We consider the situation where the observed sample contains some observations whose class of origin is known (that is, they are classified with respect to the g underlying classes of interest), and where the remaining observations in the…

Machine Learning · Statistics 2020-04-15 Geoffrey J. McLachlan , Daniel Ahfock

We develop an asymptotic statistical theory for parameter estimation from a class of non-i.i.d. periodic binary event-detection processes subject to nonparalyzable dead time and gating, which we call "dead-time event detection" (DED)…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Frederic J. N. Jorgensen , Steven G. Johnson

We investigate asymptotic properties of least-absolute-deviation or median quantile estimates of the location and scale functions in nonparametric regression models with dependent data from multiple subjects. Under a general dependence…

Statistics Theory · Mathematics 2014-07-07 Zhibiao Zhao , Ying Wei , Dennis K. J. Lin

Model selection, via penalized likelihood type criteria, is a standard task in many statistical inference and machine learning problems. Progress has led to deriving criteria with asymptotic consistency results and an increasing emphasis on…

Statistics Theory · Mathematics 2022-05-13 TrungTin Nguyen , Faicel Chamroukhi , Hien Duy Nguyen , Florence Forbes

Operational risk models commonly employ maximum likelihood estimation (MLE) to fit loss data to heavy-tailed distributions. Yet several desirable properties of MLE (e.g. asymptotic normality) are generally valid only for large sample-sizes,…

Risk Management · Quantitative Finance 2016-08-26 Paul Larsen

The paper considers the problem of distributed adaptive linear parameter estimation in multi-agent inference networks. Local sensing model information is only partially available at the agents and inter-agent communication is assumed to be…

Optimization and Control · Mathematics 2012-08-07 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

This paper establishes a formal connection between finite-sample and asymptotically minimax robust hypothesis testing under distributional uncertainty. It is shown that, whenever a finite-sample minimax robust test exists, it coincides with…

Statistics Theory · Mathematics 2026-02-24 Gökhan Gül

This article introduces a robust hypothesis testing procedure: the Lq-likelihood-ratio-type test (LqRT). By deriving the asymptotic distribution of this test statistic, the authors demonstrate its robustness both analytically and…

Applications · Statistics 2016-09-27 Yichen Qin , Carey E. Priebe

This paper extends validity of the conditional likelihood ratio (CLR) test developed by Moreira (2003) to instrumental variable regression models with unknown error variance and many weak instruments. In this setting, we argue that the…

Econometrics · Economics 2025-04-16 Sreevidya Ayyar , Yukitoshi Matsushita , Taisuke Otsu