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Partial orderings and measures of information for continuous univariate random variables with special roles of Gaussian and uniform distributions are discussed. The information measures and measures of non-Gaussianity including third and…

统计理论 · 数学 2020-06-22 Una Radojicic , Klaus Nordhausen , Hannu Oja

We explore a macroscopic, algebraic approach to rate independent hysteresis using semigroup theory. A macroscopic description of metastable states relevant to rate independent hysteresis is introduced using field history. The semigroup…

无序系统与神经网络 · 物理学 2007-07-24 Xiangjun Xing

Racialized economic segregation, a key metric that simultaneously accounts for spatial, social and income polarization, has been linked to adverse health outcomes, including morbidity and mortality; however, statistical methods for…

应用统计 · 统计学 2023-03-21 Yang Xu , Loni Philip Tabb

In the literature on stochastic frontier models until the early 2000s, the joint consideration of spatial and temporal dimensions was often inadequately addressed, if not completely neglected. However, from an evolutionary economics…

统计方法学 · 统计学 2024-10-29 Elisa Fusco , Giuseppe Arbia , Francesco Vidoli , Vincenzo Nardelli

A new class of graphical models capturing the dependence structure of events that occur in time is proposed. The graphs represent so-called local independences, meaning that the intensities of certain types of events are independent of some…

统计理论 · 数学 2013-07-11 Vanessa Didelez

This study introduces a general semiparametric clusterwise index distribution model to analyze how latent clusters affect the covariate-response relationships. By employing sufficient dimension reduction to account for the effects of…

统计方法学 · 统计学 2025-09-30 Jen-Chieh Teng , Chin-Tsang Chiang

We analyze statistical consequences of a conjecture that there exists a fundamental (indivisible) quant of time. We study particle dynamics with discrete time. We show that a quantum-like interference pattern could appear as a statistical…

量子物理 · 物理学 2007-05-23 Andrei Khrennikov , Yaroslav Volovich

We study the well-known sociological phenomenon of gang aggregation and territory formation through an interacting agent system defined on a lattice. We introduce a two-gang Hamiltonian model where agents have red or blue affiliation but…

数学物理 · 物理学 2015-06-11 Alethea B. T. Barbaro , Lincoln Chayes , Maria R. D'Orsogna

Geometric aspects play an important role in the construction and analysis of structure-preserving numerical methods for a wide variety of ordinary and partial differential equations. Here we review the development and theory of symplectic…

数值分析 · 数学 2017-10-12 Ludwig Gauckler , Ernst Hairer , Christian Lubich

We consider estimating the parametric components of semi-parametric multiple index models in a high-dimensional and non-Gaussian setting. Such models form a rich class of non-linear models with applications to signal processing, machine…

统计理论 · 数学 2018-07-19 Zhuoran Yang , Krishnakumar Balasubramanian , Han Liu

The present communication addresses a set of observations, obeying both deterministic as well as statistical formal requirements, and serving to operate within the framework of the dynamical systems theory, with a certain emphasis placed on…

物理与社会 · 物理学 2017-06-30 Adam Gadomski , Marcel Ausloos , Tahlia Casey

We introduce an index based on information theory to quantify the stationarity of a stochastic process.The index compares on the one hand the information contained in the increment at the time scale $\tau$ of the process at time $t$ with,…

数据分析、统计与概率 · 物理学 2021-12-02 Carlos Granero-Belinchon , Stéphane G. Roux , Nicolas B. Garnier

We apply stochastic process theory to the analysis of immigrant integration. Using a unique and detailed data set from Spain, we study the relationship between local immigrant density and two social and two economic immigration quantifiers…

物理与社会 · 物理学 2016-02-02 Elena Agliari , Adriano Barra , Pierluigi Contucci , Rickard Sandell , Cecilia Vernia

Computing the distribution of trajectories from a Gaussian Process model of a dynamical system is an important challenge in utilizing such models. Motivated by the computational cost of sampling-based approaches, we consider approximations…

机器学习 · 统计学 2023-05-16 Steffen Ridderbusch , Sina Ober-Blöbaum , Paul Goulart

We study the existence of densities for distributions of piecewise deterministic Markov processes. We also obtain relationships between invariant densities of the continuous time process and that of the process observed at jump times. In…

概率论 · 数学 2020-06-03 Piotr Gwiżdż , Marta Tyran-Kamińska

Scholars from diverse fields increasingly rely on high-frequency spatio-temporal data. Yet, causal inference with these data remains challenging due to spatial spillover and temporal carryover effects. We develop methods to estimate…

统计方法学 · 统计学 2025-11-03 Lingxiao Zhou , Kosuke Imai , Jason Lyall , Georgia Papadogeorgou

Transportation infrastructure, such as road or railroad networks, represent a fundamental component of our civilization. For sustainable planning and informed decision making, a thorough understanding of the long-term evolution of…

计算机视觉与模式识别 · 计算机科学 2022-03-22 Johannes H. Uhl , Stefan Leyk , Yao-Yi Chiang , Craig A. Knoblock

This paper presents a novel quantitative approach for comparative economic studies, addressing limitations in current classification methods. Conventional approaches in comparative economics often rely on ad hoc and categorical…

综合经济学 · 经济学 2025-12-24 Ali Zeytoon-Nejad

The statistical modeling of multivariate count data observed on a space-time lattice has generally focused on using a hierarchical modeling approach where space-time correlation structure is placed on a continuous, latent, process. The…

应用统计 · 统计学 2021-02-16 Nicholas J Clark , Philip M. Dixon

In this paper we bring to bear some new tools from statistical learning on the analysis of roll call data. We present a new data-driven model for roll call voting that is geometric in nature. We construct the model by adapting the…

应用统计 · 统计学 2011-08-16 Greg Leibon , Scott Pauls , Daniel N. Rockmore , Robert Savell