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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,…

量子物理 · 物理学 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…

统计理论 · 数学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计理论 · 数学 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…

统计方法学 · 统计学 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.…

统计计算 · 统计学 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…

机器学习 · 统计学 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…

统计方法学 · 统计学 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,…

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,…

统计计算 · 统计学 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…

广义相对论与量子宇宙学 · 物理学 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…

数据分析、统计与概率 · 物理学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 2025-12-02 William Stewart , Carly L. Brantner , Elizabeth A. Stuart , Laine Thomas