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This work presents a low-rank tensor model for multi-dimensional Markov chains. A common approach to simplify the dynamical behavior of a Markov chain is to impose low-rankness on the transition probability matrix. Inspired by the success…

系统与控制 · 电气工程与系统科学 2024-11-05 Madeline Navarro , Sergio Rozada , Antonio G. Marques , Santiago Segarra

This paper describes a compound Poisson-based random effects structure for modeling zero-inflated data. Data with large proportion of zeros are found in many fields of applied statistics, for example in ecology when trying to model and…

应用统计 · 统计学 2009-07-29 Marie-Pierre Etienne , Eric Parent , Benoit Hugues , Bernier Jacques

Data and models of non-motorized traffic on multiuse urban trails are needed to improve planning and management of urban transportation systems. Negative binomial regression models are appropriate and useful when dependent variables are…

物理与社会 · 物理学 2022-08-15 Xize Wanga , Greg Lindsey , Steve Hankey , Kris Hoff

Background: Outcome measures that are count variables with excessive zeros are common in health behaviors research. There is a lack of empirical data about the relative performance of prevailing statistical models when outcomes are…

应用统计 · 统计学 2023-08-17 Zhengyang Zhou , Dateng Li , David Huh , Minge Xie , Eun-Young Mun

A framework for tightly integrated motion mode classification and state estimation in motion-constrained inertial navigation systems is presented. The framework uses a jump Markov model to describe the navigation system's motion mode and…

信号处理 · 电气工程与系统科学 2023-08-23 Isaac Skog , Gustaf Hendeby , Manon Kok

Motivated by applications in movement ecology, in this paper I propose a new class of integrated continuous-time hidden Markov models in which each observation depends on the underlying state of the process over the whole interval since the…

统计方法学 · 统计学 2019-10-01 Paul G Blackwell

Motivated by a real failure dataset in a two-dimensional context, this paper presents an extension of the Markov modulated Poisson process (MMPP) to two dimensions. The one-dimensional MMPP has been proposed for the modeling of dependent…

统计方法学 · 统计学 2024-01-30 Yoel G. Yera , Rosa E. Lillo , Bo F. Nielsen , Pepa Ramírez-Cobo , Fabrizio Ruggeri

There is discussion if traffic displays multiple phases (e.g. laminar, jammed, synchronized) or not. This paper presents evidence that a stochastic car following model, by changing one of its parameters, can be moved from showing two phases…

统计力学 · 物理学 2007-05-23 Dominic Jost , Kai Nagel

We study barrier crossing in a two-state system, namely the kinetic Ising model, in the presence of a weak bias field and spatially homogeneous, but time-dependent, Gaussian random fields. We find that the bias field determines the location…

统计力学 · 物理学 2026-05-28 Sara Oliver-Bonafoux , Raúl Toral , Amitabha Chakrabarti

Stochastic state-transition models of infectious disease transmission can be used to deduce relevant drivers of transmission when fitted to data using statistically principled methods. Fitting this individual-level data requires inference…

统计方法学 · 统计学 2026-02-12 James Neill , Lloyd A. C. Chapman , Chris Jewell

Quantum dots (QDs) are pivotal for the development of quantum technologies, with applications ranging from single-photon sources for secure communication to quantum computing infrastructures. Understanding the electron dynamics within these…

量子物理 · 物理学 2024-12-20 Markus Sifft , Johannes C. Bayer , Daniel Hägele , Rolf J. Haug

Spatio-temporal hidden Markov models are extremely difficult to estimate because their latent joint distributions are available only in trivial cases. In the estimation phase, these latent distributions are usually substituted with…

统计方法学 · 统计学 2025-09-19 Daniele Tancini , Riccardo Rastelli , Francesco Bartolucci

The zero-inflated logistic regression model accommodates binary responses with excess zeros, which often arise from a latent mixture of susceptible and insusceptible subpopulations or asymmetric misclassification of the response. The model…

统计方法学 · 统计学 2026-04-23 Yui Tomo , Shinto Eguchi , Daisuke Yoneoka

The problem of appropriately matching items subject to compatibility constraints arises in a number of important applications. While most of the literature on matching theory focuses on a static setting with a fixed number of items, several…

概率论 · 数学 2022-01-04 Céline Comte

We introduce a discrete time microscopic single particle model for kinetic transport. The kinetics is modeled by a two-state Markov chain, the transport by deterministic advection plus a random space step. The position of the particle after…

概率论 · 数学 2011-06-16 Michel Dekking , Derong Kong

In the problem of asymptotic binary i.i.d. state discrimination, the optimal asymptotics of the type I and the type II error probabilities is in general an exponential decrease to zero as a function of the number of samples; the set of…

量子物理 · 物理学 2023-01-18 Gergely Bunth , Gábor Maróti , Milán Mosonyi , Zoltán Zimborás

A statistical test is presented to decide whether data are adequately described by probabilistic functions of finite state Markov chains (''hidden Markov models'') as applied in the analysis of ion channel data. Particularly, the test can…

chao-dyn · 物理学 2009-10-30 J. Timmer , S. Klein

Catastrophe Markov chain population models have received a lot of attention in the recent past. We herewith consider two special cases of such models involving total disasters, both in discrete and in continuous-time. Depending on the…

概率论 · 数学 2021-01-12 Branda Goncalves , Thierry Huillet

Multivariate regression models and ANOVA are probably the most frequently applied methods of all statistical analyses. We study the case where the predictors are qualitative variables, and the response variable is quantitative. In this…

应用统计 · 统计学 2021-05-04 Abraham Gutierrez , Sebastian Müller

Semi-competing risks refer to the phenomenon where a primary event (such as mortality) can ``censor'' an intermediate event (such as relapse of a disease), but not vice versa. Under the multi-state model, the primary event consists of two…

统计方法学 · 统计学 2024-10-10 Yuhao Deng , Yi Wang , Xiang Zhan , Xiao-Hua Zhou