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Principled decision making in emergency response management necessitates the use of statistical models that predict the spatial-temporal likelihood of incident occurrence. These statistical models are then used for proactive stationing…

Machine Learning · Computer Science 2021-06-16 Sayyed Mohsen Vazirizade , Ayan Mukhopadhyay , Geoffrey Pettet , Said El Said , Hiba Baroud , Abhishek Dubey

Neural autoregressive sequence models smear the probability among many possible sequences including degenerate ones, such as empty or repetitive sequences. In this work, we tackle one specific case where the model assigns a high probability…

Machine Learning · Computer Science 2021-12-23 Ilia Kulikov , Maksim Eremeev , Kyunghyun Cho

Suppose data are fitted to some parametric model but that the true model happens to be one with an additional parameter. When a parameter is to be estimated one can use likelihood estimation in the wider model or in the narrow model.…

Methodology · Statistics 2026-03-27 Nils Lid Hjort

Ideally, a meta-analysis will summarize data from several unbiased studies. Here we consider the less than ideal situation in which contributing studies may be compromised by measurement error. Measurement error affects every study design,…

The topic of deep learning has seen a surge of interest in recent years both within and outside of the field of Statistics. Deep models leverage both nonlinearity and interaction effects to provide superior predictions in many cases when…

Methodology · Statistics 2020-09-18 Paul A. Parker , Scott H. Holan

In real-world applications, observations are often constrained to a small fraction of a system. Such spatial subsampling can be caused by the inaccessibility or the sheer size of the system, and cannot be overcome by longer sampling.…

Data Analysis, Statistics and Probability · Physics 2017-06-02 Anna Levina , Viola Priesemann

Neural network ensembles, such as Bayesian neural networks (BNNs), have shown success in the areas of uncertainty estimation and robustness. However, a crucial challenge prohibits their use in practice. BNNs require a large number of…

Machine Learning · Computer Science 2022-07-15 Namuk Park , Songkuk Kim

In many settings, robust data analysis involves computational methods for uncertainty quantification and statistical inference. To design frequentist studies that leverage robust analysis methods, suitable sample sizes to achieve desired…

Methodology · Statistics 2025-12-19 Luke Hagar , Andrew J. Martin

Several studies demonstrate that there are critical differences between real wireless networks and simulation models. This finding has permitted to extract spatial and temporal properties for links and to provide efficient methods as biased…

Networking and Internet Architecture · Computer Science 2012-07-12 Mohamed-Haykel Zayani , Vincent Gauthier , Djamal Zeghlache

Forecast quality should be assessed in the context of what is possible in theory and what is reasonable to expect in practice. Often, one can identify an approximate upper bound to a probabilistic forecast's sharpness, which sets a lower,…

Applications · Statistics 2025-11-11 Malte C. Tichy , Illia Babounikau , Nikolas Wolke , Stefan Ulbrich , Michael Feindt

Chain Event Graphs (CEGs) are a widely applicable class of probabilistic graphical model that can represent context-specific independence statements and asymmetric unfoldings of events in an easily interpretable way. Existing model…

Methodology · Statistics 2022-06-20 Peter Strong , Jim Q Smith

Environmental processes resolved at a sufficiently small scale in space and time will inevitably display non-stationary behavior. Such processes are both challenging to model and computationally expensive when the data size is large.…

Applications · Statistics 2020-08-21 Amanda Lenzi , Stefano Castruccio , Haavard Rue , Marc G. Genton

Conventional likelihood-based information criteria for model selection rely on the distribution assumption of data. However, for complex data that are increasingly available in many scientific fields, the specification of their underlying…

Methodology · Statistics 2020-06-25 Chixiang Chen , Ming Wang , Rongling Wu , Runze Li

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

Methodology · Statistics 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

Statistical modeling can involve a tension between assumptions and statistical identification. The law of the observable data may not uniquely determine the value of a target parameter without invoking a key assumption, and, while…

Methodology · Statistics 2022-12-06 Paul Gustafson

Spatial data is a rich source of information for actuarial applications: knowledge of a risk's location could improve an insurance company's ratemaking, reserving or risk management processes. Insurance companies with high exposures in a…

Applications · Statistics 2024-08-22 Christopher Blier-Wong , Hélène Cossette , Luc Lamontagne , Etienne Marceau

This paper generalizes recent proposals of density forecasting models and it develops theory for this class of models. In density forecasting, the density of observations is estimated in regions where the density is not observed.…

Statistics Theory · Mathematics 2015-03-18 Young K. Lee , Enno Mammen , Jens P. Nielsen , Byeong U. Park

Accurate estimates of the reproduction ratio are crucial to project infectious disease epidemic evolution and guide public health response. Here, we prove that estimates of the reproduction ratio based on inference from surveillance data…

Physics and Society · Physics 2025-01-08 Piero Birello , Michele Re Fiorentin , Boxuan Wang , Vittoria Colizza , Eugenio Valdano

Reliable application of machine learning is of primary importance to the practical deployment of deep learning methods. A fundamental challenge is that models are often unreliable due to overconfidence. In this paper, we estimate a model's…

Machine Learning · Computer Science 2023-05-03 Ailin Deng , Miao Xiong , Bryan Hooi

Recent likelihood theory produces $p$-values that have remarkable accuracy and wide applicability. The calculations use familiar tools such as maximum likelihood values (MLEs), observed information and parameter rescaling. The usual…

Methodology · Statistics 2008-02-08 M. Bédard , D. A. S. Fraser , A. Wong
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