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We investigate the discrimination of two candidates of an unknown parameter in quantum systems with continuous weak measurement, inspired by the application of hypothesis testing in distinguish-ing two Hamiltonians [Kiilerich and M{\o}lmer,…

Quantum Physics · Physics 2019-07-24 Beili Gong , Wei Cui

In mixed linear models with nonnormal data, the Gaussian Fisher information matrix is called a quasi-information matrix (QUIM). The QUIM plays an important role in evaluating the asymptotic covariance matrix of the estimators of the model…

Statistics Theory · Mathematics 2007-06-13 Jiming Jiang

Nonparametric and nonlinear measures of statistical dependence between pairs of random variables are important tools in modern data analysis. In particular the emergence of large data sets can now support the relaxation of linearity…

Methodology · Statistics 2016-05-13 Sarah Filippi , Chris Holmes

The increasing availability of multiple network data has highlighted the need for statistical models for heterogeneous populations of networks. A convenient framework makes use of metrics to measure similarity between networks. In this…

Methodology · Statistics 2026-03-09 Francesco Barile , Simón Lunagómez , Bernardo Nipoti

As a general and robust alternative to traditional mean regression models, quantile regression avoids the assumption of normally distributed errors, making it a versatile choice when modeling outcomes such as cognitive scores that typically…

Methodology · Statistics 2026-03-19 Rongke Lyu , Marina Vannucci , Suprateek Kundu

We introduce a probabilistic framework for two-sample comparison based on a nonparametric process taking the form of a Markov model that transitions between a "divide" and a "merge" state on a multi-resolution partition tree of the sample…

Methodology · Statistics 2014-05-30 Jacopo Soriano , Li Ma

Assume one observes independent categorical variables or, equivalently, one observes the corresponding multinomial variables. Estimating the distribution of the observed sequence amounts to estimating the expectation of the multinomial…

Statistics Theory · Mathematics 2009-06-15 C. Durot , E. Lebarbier , A. -S. Tocquet

We propose a class of two-sample statistics for testing the equality of proportions and the equality of survival functions. We build our proposal on a weighted combination of a score test for the difference in proportions and a Weighted…

Methodology · Statistics 2021-12-08 Marta Bofill Roig , Guadalupe Gómez Melis

A new methodology for model determination in decomposable graphical Gaussian models is developed. The Bayesian paradigm is used and, for each given graph, a hyper inverse Wishart prior distribution on the covariance matrix is considered.…

Computation · Statistics 2015-03-13 Sophie Donnet , Jean-Michel Marin

Vanilla variational inference finds an optimal approximation to the Bayesian posterior distribution, but even the exact Bayesian posterior is often not meaningful under model misspecification. We propose predictive variational inference…

Machine Learning · Statistics 2026-03-31 Jinlin Lai , Antonio Linero , Yuling Yao

Population attributable risk (PAR) is used in epidemiology to predict the impact of removing a risk factor from the population. Until recently, no standard approach for calculating confidence intervals or the variance for PAR was available…

Methodology · Statistics 2021-05-28 Sarah Pirikahu , Geoffrey Jones , Martin Hazelton

Dynamic assessment of mortality risk in the intensive care unit (ICU) can be used to stratify patients, inform about treatment effectiveness or serve as part of an early-warning system. Static risk scoring systems, such as APACHE or SAPS,…

Machine Learning · Statistics 2020-11-03 Jonathan Heitz , Joanna Ficek , Martin Faltys , Tobias M. Merz , Gunnar Rätsch , Matthias Hüser

The Bayesian approach to clustering is often appreciated for its ability to provide uncertainty in the partition structure. However, summarizing the posterior distribution over the clustering structure can be challenging, due the discrete,…

Computation · Statistics 2026-01-26 Cecilia Balocchi , Sara Wade

Strong lensing of gravitational waves can produce several detectable images as repeated events in the upcoming observing runs, which can be detected with the posterior overlap analysis (Bayes factor). The choice of the binary black hole…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Damon H. T. Cheung , Stefano Rinaldi , Martina Toscani , Otto A. Hannuksela

We describe a statistical method to avoid biased estimation of the content of different particle species. We consider the case when the particle identification information strongly depends on some kinematical variables, whose distributions…

Data Analysis, Statistics and Probability · Physics 2011-06-16 Massimo Casarsa , Pierluigi Catastini , Giovanni Punzi , Luciano Ristori

While national biobanks are essential for advancing medical research, their non-probability sampling designs limit their representativeness of the target population. This paper proposes a method that leverages high-quality national surveys…

Methodology · Statistics 2025-01-17 Huiding Chen , Andrew Guide , Lina Sulieman , Robert M Cronin , Thomas Lumley , Qingxia Chen

Nonresponse weighting adjustment using the response propensity score is a popular tool for handling unit nonresponse. Statistical inference after the nonresponse weighting adjustment is complicated because the effect of estimating the…

Methodology · Statistics 2017-02-14 Hejian Sang , Jae Kwang Kim

Consider $n$ independent measurements, with the additional information of the times at which measurements are performed. This paper deals with testing statistical hypotheses when $n$ is large and only a small amount of observations…

Methodology · Statistics 2018-09-26 Emanuele Dolera , Stefano Favaro , Andrea Bulgarelli , Alessio Aboudan

The win ratio (WR) is a widely used metric to compare treatments in randomized clinical trials with hierarchically ordered endpoints. Counting-based approaches, such as Pocock's algorithm, are the standard for WR estimation. However, this…

Methodology · Statistics 2026-02-17 Yi Liu , Huiman Barnhart , Sean O'Brien , Yuliya Lokhnygina , Roland A. Matsouaka

Clinical study populations often differ meaningfully from the broader populations to which results are intended to generalize. Weighting methods such as inverse probability of sampling weights (IPSW) reweight study participants to resemble…

Methodology · Statistics 2025-12-02 William Stewart , Carly L. Brantner , Elizabeth A. Stuart , Laine Thomas
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