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We study the expectation-maximization (EM) algorithm for general latent-variable models under (i) distributional misspecification and (ii) nonidentifiability induced by a group action. We formulate EM on the quotient parameter space and…

统计理论 · 数学 2026-01-06 Koustav Mallik

The Binary Emax model is widely employed in dose-response analysis during drug development, where missing data often pose significant challenges. Addressing nonignorable missing binary responses, where the likelihood of missing data is…

统计方法学 · 统计学 2026-01-01 Jiangshan Zhang , Vivek Pradhan , Yuxi Zhao

In many areas of science, complex phenomena are modeled by stochastic parametric simulators, often featuring high-dimensional parameter spaces and intractable likelihoods. In this context, performing Bayesian inference can be challenging.…

机器学习 · 计算机科学 2021-11-10 François Rozet , Gilles Louppe

There have been significant advancements made by large language models (LLMs) in various aspects of our daily lives. LLMs serve as a transformative force in natural language processing, finding applications in text generation, translation,…

机器学习 · 计算机科学 2023-11-28 Zhihang Li , Zhao Song , Zifan Wang , Junze Yin

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

统计方法学 · 统计学 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

The case-cohort design is a commonly used cost-effective sampling strategy for large cohort studies, where some covariates are expensive to measure or obtain. In this paper, we consider regression analysis under a case-cohort study with…

统计方法学 · 统计学 2023-10-24 Qingning Zhou , Kin Yau Wong

This article develops limit laws for network sampling based estimates of subgraph counts and clustering coefficient of a large population network, and uses them for predictive inference. A model based approach is used, where the population…

统计理论 · 数学 2026-04-14 Anirban Mandal , Arindam Chatterjee

The computational complexity of simultaneous inference methods in high-dimensional linear regression models quickly increases with the number variables. This paper proposes a computationally efficient method based on the Moore-Penrose…

统计理论 · 数学 2021-02-02 Tom Boot , Didier Nibbering

Uncertainty is ubiquitous in real-world data, and the assumptions underlying classical linear regression models are often violated in practice. Inspired by the theory of sublinear expectation, we consider a linear regression model where the…

统计理论 · 数学 2026-04-28 Xifeng Li , Shuzhen Yang

We study mixed models with a single grouping factor, where inference about unknown parameters requires optimizing a marginal likelihood defined by an intractable integral. Low-dimensional numerical integration techniques are regularly used…

统计方法学 · 统计学 2025-01-22 Alex Stringer , Blair Bilodeau , Yanbo Tang

Extreme mass ratio inspirals (EMRIs) are thought to be one of the most exciting gravitational wave sources to be detected with LISA. Due to their complicated nature and weak amplitudes the detection and parameter estimation of such sources…

广义相对论与量子宇宙学 · 物理学 2013-01-04 Asad Ali , Nelson Christensen , Renate Meyer , Christian Röver

Distributed systems have been widely used in practice to accomplish data analysis tasks of huge scales. In this work, we target on the estimation problem of generalized linear models on a distributed system with nonrandomly distributed…

统计方法学 · 统计学 2020-04-07 Feifei Wang , Danyang Huang , Yingqiu Zhu , Hansheng Wang

We consider a continuous-time Markov chain model of SIR disease dynamics with two levels of mixing. For this so-called stochastic households model, we provide two methods for inferring the model parameters---governing within-household…

种群与进化 · 定量生物学 2018-02-07 James N. Walker , Joshua V. Ross , Andrew J. Black

In this article, we consider the problem of reconstructing networks for continuous, binary, count and discrete ordinal variables by estimating sparse precision matrix in Gaussian copula graphical models. We propose two approaches: $\ell_1$…

统计方法学 · 统计学 2014-01-22 Fentaw Abegaz , Ernst Wit

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

We investigate a weighted Multilevel Richardson-Romberg extrapolation for the ergodic approximation of invariant distributions of diffusions adapted from the one introduced in~[Lemaire-Pag\`es, 2013] for regular Monte Carlo simulation. In a…

概率论 · 数学 2016-07-05 Gilles Pagès , Fabien Panloup

Reliability inference based on parametric distributions is an important problem in electrical and mechanical engineering. Most existing methods rely on approximations or bootstrap procedures, which may not perform satisfactorily when data…

统计方法学 · 统计学 2026-04-15 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of problems, including the clustering of data based on the Gaussian…

机器学习 · 统计学 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal

Confidence intervals for a binomial parameter or for the ratio of Poisson means are commonly desired in high energy physics (HEP) applications such as measuring a detection efficiency or branching ratio. Due to the discreteness of the data,…

数据分析、统计与概率 · 物理学 2009-12-23 Robert D. Cousins , Kathryn E. Hymes , Jordan Tucker

This paper illustrates two algorithms designed in Forneron & Ng (2020): the resampled Newton-Raphson (rNR) and resampled quasi-Newton (rqN) algorithms which speed-up estimation and bootstrap inference for structural models. An empirical…

计量经济学 · 经济学 2021-02-23 Jean-Jacques Forneron , Serena Ng
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