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Fiducial Inference, introduced by Fisher in the 1930s, has a long history, which at times aroused passionate disagreements. However, its application has been largely confined to relatively simple parametric problems. In this paper, we…

Methodology · Statistics 2018-03-28 Yifan Cui , Jan Hannig

In this work we study and establish some quenched functional Central Limit Theorems (CLTs) for stationary random fields under a projective criteria. These results are functional generalizations of the theorems obtained by Zhang et al.…

Dynamical Systems · Mathematics 2024-05-28 Lucas Reding , Na Zhang

We expand the theoretical background of the recently introduced superadditive and subadditive transformations of aggregation functions $A$. Necessary and sufficient conditions ensuring that a transformation of a proper aggregation function…

Functional Analysis · Mathematics 2016-01-05 Alexandra Šipošová

Spatial confounding between the spatial random effects and fixed effects covariates has been recently discovered and showed that it may bring misleading interpretation to the model results. Solutions to alleviate this problem are based on…

Methodology · Statistics 2016-05-17 Marcos O. Prates , Erica C. Rodrigues , Renato M. Assunção

We characterize order preserving continuous surjections between compact linearly ordered spaces which admit an averaging operator, together with estimates of the norm of such an operator. This result is used to the study of strengthenings…

Functional Analysis · Mathematics 2012-10-23 Wieslaw Kubiś , Ondrej Kalenda

We study conditions for the existence of stable and group-strategy-proof mechanisms in a many-to-one matching model with contracts if students' preferences are monotone in contract terms. We show that "equivalence", properly defined, to a…

Theoretical Economics · Economics 2021-07-13 Jan Christoph Schlegel

We address the estimation of conditional quantiles when the covariate is functional and when the order of the quantiles converges to one as the sample size increases. In a first time, we investigate to what extent these large conditional…

Statistics Theory · Mathematics 2013-04-26 Laurent Gardes , Stéphane Girard

Survival analysis aims at modeling the relationship between covariates and event occurrence with some untracked (censored) samples. In implementation, existing methods model the survival distribution with strong assumptions or in a discrete…

Machine Learning · Computer Science 2023-05-25 Yu Ling , Weimin Tan , Bo Yan

In many real-life situations that involve exchanges of arguments, individuals may differ on their assessment of which supports between the arguments are in fact justified, i.e., they put forward different support-relations. When confronted…

Artificial Intelligence · Computer Science 2021-06-23 Weiwei Chen

In this brief paper we introduce a robust-safety notion for differential inclusions, and we propose a general framework to certify such a notion in terms of barrier functions. While existing literature studied only what we designate by…

Optimization and Control · Mathematics 2023-05-08 Mohamed Maghenem , Masoumeh Ghanbarpour , Adnane Saoud

We axiomatically introduce risk-consistent conditional systemic risk measures defined on multidimensional risks. This class consists of those conditional systemic risk measures which can be decomposed into a state-wise conditional…

Risk Management · Quantitative Finance 2016-09-27 Hannes Hoffmann , Thilo Meyer-Brandis , Gregor Svindland

Survival analysis is crucial for many medical applications, but remains challenging for modern machine learning due to limited data, censoring, and the heterogeneity of tabular covariates. While the prior-fitted paradigm, which relies on…

Machine Learning · Computer Science 2026-05-14 Dmitrii Seletkov , Paul Hager , Georgios Kaissis , Rickmer Braren , Daniel Rueckert , Raphael Rehms

We introduce a new class of conditional autoregressive models for spatially dependent functional data, formulated through conditional means given neighboring functional observations and characterized by a covariance operator and a spatial…

Methodology · Statistics 2026-05-22 Sooran Kim

Conformal predictors provide set or functional predictions that are valid under the assumption of randomness, i.e., under the assumption of independent and identically distributed data. The question asked in this paper is whether there are…

Machine Learning · Computer Science 2025-06-10 Vladimir Vovk

Providing safety guarantees for stochastic dynamical systems is a central problem in various fields, including control theory, machine learning, and robotics. Existing methods either employ Stochastic Barrier Functions (SBFs) or rely on…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Luca Laurenti , Morteza Lahijanian

One goal in survival analysis of right-censored data is to estimate the marginal survival function in the presence of dependent censoring. When many auxiliary covariates are sufficient to explain the dependent censoring, estimation based on…

Statistics Theory · Mathematics 2007-06-13 Donglin Zeng

The fundamental tension between availability and consistency shapes the design of distributed storage systems. Classical results capture extreme points of this trade-off: the CAP theorem shows that strong models like linearizability…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-29 Hagit Attiya , Constantin Enea , Enrique Román-Calvo

In a refreshing mathematical investigation, Mark (2018) shows that status hierarchy may facilitate the emergence of cooperation in groups. Despite the contribution, the present paper notes that there are limitations in Mark's model that…

General Economics · Economics 2020-08-18 Hsuan-Wei Lee , Yen-Ping Chang , Yen-Sheng Chiang

We argue that models coming from a variety of fields, such as matching models and discrete choice models among others, share a common structure that we call matching function equilibria with partial assignment. This structure includes an…

General Economics · Economics 2023-09-21 Liang Chen , Eugene Choo , Alfred Galichon , Simon Weber

We propose an empirically stable and asymptotically efficient covariate-balancing approach to the problem of estimating survival causal effects in data with conditionally-independent censoring. This addresses a challenge often encountered…

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