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To improve the efficiency of Monte Carlo estimation, practitioners are turning to biased Markov chain Monte Carlo procedures that trade off asymptotic exactness for computational speed. The reasoning is sound: a reduction in variance due to…

机器学习 · 统计学 2019-01-03 Jackson Gorham , Lester Mackey

We consider two recent suggestions for how to perform an empirically motivated Monte Carlo study to help select a treatment effect estimator under unconfoundedness. We show theoretically that neither is likely to be informative except under…

计量经济学 · 经济学 2019-04-18 Arun Advani , Toru Kitagawa , Tymon Słoczyński

In the field of structural reliability, the Monte-Carlo estimator is considered as the reference probability estimator. However, it is still untractable for real engineering cases since it requires a high number of runs of the model. In…

统计方法学 · 统计学 2015-03-19 V. Dubourg , F. Deheeger , B. Sudret

We present a preconditioned Monte Carlo method for computing high-dimensional multivariate normal and Student-$t$ probabilities arising in spatial statistics. The approach combines a tile-low-rank representation of covariance matrices with…

统计计算 · 统计学 2020-11-26 Jian Cao , Marc G. Genton , David E. Keyes , George M. Turkiyyah

Linear combinations of multinomial probabilities, such as those resulting from contingency tables, are of use when evaluating classification system performance. While large sample inference methods for these combinations exist, small sample…

统计方法学 · 统计学 2021-04-20 Katherine A. Batterton , Christine M. Schubert , Richard L. Warr

The rank envelope test (Myllym\"aki et al., Global envelope tests for spatial processes, arXiv:1307.0239 [stat.ME]) is proposed as a solution to multiple testing problem for Monte Carlo tests. Three different situations are recognized: 1) a…

统计方法学 · 统计学 2015-06-05 Tomáš Mrkvička , Mari Myllymäki , Ute Hahn

Software packages usually report the results of statistical tests using p-values. Users often interpret these by comparing them to standard thresholds, e.g. 0.1%, 1% and 5%, which is sometimes reinforced by a star rating (***, **, *). We…

统计方法学 · 统计学 2019-11-05 Axel Gandy , Georg Hahn , Dong Ding

In this work, we leverage a generative data model considering comparison noise to develop a fast, precise, and informative ranking algorithm from pairwise comparisons that produces a measure of confidence on each comparison. The problem of…

机器学习 · 计算机科学 2025-07-24 Filipa Valdeira , Cláudia Soares

Rating systems are ubiquitous, with applications ranging from product recommendation to teaching evaluations. Confidence intervals for functionals of rating data such as empirical means or quantiles are critical to decision-making in…

统计理论 · 数学 2019-12-10 Robert Nowak , Ervin Tánczos

When the target parameter for inference is a real-valued, continuous function of probabilities in the $k$-sample multinomial problem, variance estimation may be challenging. In small samples or when the function is nondifferentiable at the…

统计计算 · 统计学 2025-05-13 Michael C Sachs , Erin E Gabriel , Michael P Fay

In this paper, we address the problem of testing independence between two high-dimensional random vectors. Our approach involves a series of max-sum tests based on three well-known classes of rank-based correlations. These correlation…

统计方法学 · 统计学 2024-04-04 Hongfei Wang , Binghui Liu , Long Feng

We describe and analyze a variance reduction approach for Monte Carlo (MC) sampling that accelerates the estimation of statistics of computationally expensive simulation models using an ensemble of models with lower cost. These lower cost…

统计计算 · 统计学 2021-05-04 Alex A. Gorodetsky , Gianluca Geraci , Mike Eldred , John D. Jakeman

We present an original simulation-based method to estimate likelihood ratios efficiently for general state-space models. Our method relies on a novel use of the conditional Sequential Monte Carlo (cSMC) algorithm introduced in…

统计方法学 · 统计学 2018-09-10 Sinan Yıldırım , Christophe Andrieu , Arnaud Doucet

High-dimensional linear models with endogenous variables play an increasingly important role in recent econometric literature. In this work we allow for models with many endogenous variables and many instrument variables to achieve…

计量经济学 · 经济学 2019-08-30 Alexandre Belloni , Christian Hansen , Whitney Newey

Continuous-time random disturbances from the renewable generation pose a significant impact on power system dynamic behavior. In evaluating this impact, the disturbances must be considered as continuous-time random processes instead of…

最优化与控制 · 数学 2020-07-09 Yiwei Qiu , Jin Lin , Xiaoshuang Chen , Feng Liu , Yonghua Song

Random-effects meta-analyses have been widely applied in evidence synthesis for various types of medical studies. However, standard inference methods (e.g. restricted maximum likelihood estimation) usually underestimate statistical errors…

统计方法学 · 统计学 2019-05-13 Shonosuke Sugasawa , Hisashi Noma

Independence screening is a variable selection method that uses a ranking criterion to select significant variables, particularly for statistical models with nonpolynomial dimensionality or "large p, small n" paradigms when p can be as…

统计方法学 · 统计学 2012-10-18 Gaorong Li , Heng Peng , Jun Zhang , Lixing Zhu

In a previous article of ours, we explained the reasons why the MNCS and all similar per-publication citation indicators should not be used to measure research performance, whereas efficiency indicators (output to input) such as the FSS are…

数字图书馆 · 计算机科学 2018-10-31 Giovanni Abramo , Ciriaco Andrea D'Angelo

In epidemiological cohort studies, the relative risk (also known as risk ratio) is a major measure of association to summarize the results of two treatments or exposures. Generally, it measures the relative change in disease risk as a…

统计方法学 · 统计学 2022-07-05 Gopal Nath , Krishna K. Saha , Suojin Wang

Automated scoring of student work at scale requires balancing accuracy against cost and latency. In "cascade" systems, small language models (LMs) handle easier scoring tasks while escalating harder ones to larger LMs -- but the challenge…

计算机与社会 · 计算机科学 2026-04-23 Tyler Burleigh