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Ensemble randomized maximum likelihood (EnRML) is an iterative (stochastic) ensemble smoother, used for large and nonlinear inverse problems, such as history matching and data assimilation. Its current formulation is overly complicated and…

Data Analysis, Statistics and Probability · Physics 2019-09-12 Patrick N. Raanes , Geir Evensen , Andreas S. Stordal

Likelihood approximations for images are not trivial to compute and can be useful in many applications. We examine the use of Contrastive Language-Image Pre-training (CLIP) to assess the likelihood of images and captions. We introduce…

Image and Video Processing · Electrical Eng. & Systems 2025-05-13 Roy Betser , Meir Yossef Levi , Guy Gilboa

In Huntington's disease research, a current goal is to understand how symptoms change prior to a clinical diagnosis. Statistically, this entails modeling symptom severity as a function of the covariate 'time until diagnosis', which is often…

Methodology · Statistics 2024-09-19 Seong-ho Lee , Brian D. Richardson , Yanyuan Ma , Karen S. Marder , Tanya P. Garcia

We address the weighting problem in voluntary samples under a nonignorable sample selection model. Under the assumption that the sample selection model is correctly specified, we can compute a consistent estimator of the model parameter and…

Methodology · Statistics 2023-05-12 Jae Kwang Kim , Kosuke Morikawa

Confidence sequences based on test martingales provide time-uniform uncertainty quantification for the mean of bounded IID observations without parametric distributional assumptions. Their practical efficiency, however, depends strongly on…

Machine Learning · Statistics 2026-05-12 Valentin Kilian , Stefano Cortinovis , François Caron

We address the problem of how to achieve optimal inference in distributed quantile regression without stringent scaling conditions. This is challenging due to the non-smooth nature of the quantile regression (QR) loss function, which…

Methodology · Statistics 2022-08-24 Kean Ming Tan , Heather Battey , Wen-Xin Zhou

We consider the problem of constructing confidence intervals (CIs) for the population mean of $N$ values $\{x_1, \ldots, x_N\} \subset \Sigma^N$ based on a random sample of size $n$, denoted by $X^n \equiv (X_1, \ldots, X_n)$, drawn…

Statistics Theory · Mathematics 2026-03-17 Shubhanshu Shekhar , Aaditya Ramdas

This paper deals with a general class of transformation models that contains many important semiparametric regression models as special cases. It develops a self-induced smoothing for the maximum rank correlation estimator, resulting in…

Methodology · Statistics 2013-02-28 Junyi Zhang , Zhezhen Jin , Yongzhao Shao , Zhiliang Ying

Randomized smoothing has shown promising certified robustness against adversaries in classification tasks. Despite such success with only zeroth-order access to base models, randomized smoothing has not been extended to a general form of…

Machine Learning · Computer Science 2024-05-16 Aref Miri Rekavandi , Olga Ohrimenko , Benjamin I. P. Rubinstein

Composite likelihood inference has gained much popularity thanks to its computational manageability and its theoretical properties. Unfortunately, performing composite likelihood ratio tests is inconvenient because of their awkward…

Computation · Statistics 2014-08-01 Manuela Cattelan , Nicola Sartori

In this paper an easy to implement method of stochastically weighing short and long memory linear processes is introduced. The method renders asymptotically exact size confidence intervals for the population mean which are significantly…

Methodology · Statistics 2019-01-15 Masoud M Nasari , Mohamedou Ould-Haye

We review some aspects of Bayesian and frequentist interval estimation, focusing first on their relative strengths and weaknesses when used in "clean" or "textbook" contexts. We then turn attention to observational-data situations which are…

Methodology · Statistics 2010-10-05 Paul Gustafson , Sander Greenland

In the present article, we discuss jackknife empirical likelihood (JEL) and adjusted jackknife empirical likelihood (AJEL) based inference for finding confidence intervals for probability weighted moment (PWM). We obtain the asymptotic…

Methodology · Statistics 2018-07-13 Deepesh Bhati , Sudheesh K Kattumannil , N Sreelakshmi

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…

Methodology · Statistics 2023-10-24 Qingning Zhou , Kin Yau Wong

The widespread use of maximum Jeffreys'-prior penalized likelihood in binomial-response generalized linear models, and in logistic regression, in particular, are supported by the results of Kosmidis and Firth (2021, Biometrika), who show…

Methodology · Statistics 2024-06-10 Patrick Zietkiewicz , Ioannis Kosmidis

In causal inference, the Inverse Probability Weighting (IPW) estimator is commonly used to estimate causal effects for estimands within the class of Weighted Average Treatment Effect (WATE). When constructing confidence intervals (CIs),…

Methodology · Statistics 2023-12-14 Shunichiro Orihara

We present a universal framework for constructing confidence sets based on sequential likelihood mixing. Building upon classical results from sequential analysis, we provide a unifying perspective on several recent lines of work, and…

Machine Learning · Statistics 2025-02-21 Johannes Kirschner , Andreas Krause , Michele Meziu , Mojmir Mutny

We construct bootstrap confidence intervals for a monotone regression function. It has been shown that the ordinary nonparametric bootstrap, based on the nonparametric least squares estimator (LSE) $\hat f_n$ is inconsistent in this…

Statistics Theory · Mathematics 2023-05-24 Piet Groeneboom , Geurt Jongbloed

The classic censored regression model (tobit model) has been widely used in the economic literature. This model assumes normality for the error distribution and is not recommended for cases where positive skewness is present. Moreover, in…

Methodology · Statistics 2021-03-09 Danúbia R. Cunha , Jose A. Divino , Helton Saulo

Simulation schemes for probabilistic inference in Bayesian belief networks offer many advantages over exact algorithms; for example, these schemes have a linear and thus predictable runtime while exact algorithms have exponential runtime.…

Artificial Intelligence · Computer Science 2013-02-28 Remco R. Bouckaert
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