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We introduce a novel generative model for the representation of joint probability distributions of a possibly large number of discrete random variables. The approach uses measure transport by randomized assignment flows on the statistical…

Machine Learning · Statistics 2025-01-15 Bastian Boll , Daniel Gonzalez-Alvarado , Stefania Petra , Christoph Schnörr

To ensure the effective and objective development of transportation networks, it is crucial to identify performance limitations across various subsystems. A timetable-independent assessment of infrastructure capacity at railway junctions is…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Tamme Emunds , Nils Nießen

Stochastic nonlinear dynamical systems can undergo rapid transitions relative to the change in their forcing, for example due to the occurrence of multiple equilibrium solutions for a specific interval of parameters. In this paper, we…

Data Analysis, Statistics and Probability · Physics 2020-11-12 S. Baars , D. Castellana , F. W. Wubs , H. A. Dijkstra

This paper proposes a novel phase identification method for distribution networks where phases can be severely unbalanced and insufficiently labeled. The analysis approach draws on data from high-precision phasor measurement units…

Systems and Control · Computer Science 2015-01-19 Miles H. F. Wen , Reza Arghandeh , Alexandra von Meier , Kameshwar Poolla , Victor O. K. Li

Resistance switching memory cells such as electrochemical metallization cells and valence change mechanism cells have the potential to revolutionize information processing and storage. However, the creation of deterministic resistance…

Mesoscale and Nanoscale Physics · Physics 2023-10-03 V. A. Slipko , Y. V. Pershin

In this paper, we introduce a new two-parameter lifetime distribution, called the exponential-generalized truncated logarithmic (EGTL) distribution, by compounding the exponential and generalized truncated logarithmic distributions. Our…

Statistics Theory · Mathematics 2018-09-28 Mohieddine Rahmouni , Ayman Orabi

In this paper we define the class of matrix Mittag-Leffler distributions and study some of its properties. We show that it can be interpreted as a particular case of an inhomogeneous phase-type distribution with random scaling factor, and…

Statistics Theory · Mathematics 2020-04-28 Hansjoerg Albrecher , Martin Bladt , Mogens Bladt

Reaction diffusion equations have been used to model a wide range of biological phenomenon related to population spread and proliferation from ecology to cancer. It is commonly assumed that individuals in a population have homogeneous…

Dynamical Systems · Mathematics 2023-04-14 Kyle Nguyen , Erica M. Rutter , Kevin Flores

Parameter estimation in linear errors-in-variables models typically requires that the measurement error distribution be known (or estimable from replicate data). A generalized method of moments approach can be used to estimate model…

Methodology · Statistics 2018-12-04 Linh Nghiem , Michael Byrd , Cornelis Potgieter

Response-adaptive randomization has recently attracted a lot of attention in the literature. In this paper, we propose a new and simple family of response-adaptive randomization procedures that attain the Cramer--Rao lower bounds on the…

Statistics Theory · Mathematics 2009-08-25 Feifang Hu , Li-Xin Zhang , Xuming He

Optimal algorithms are developed for robust detection of changes in non-stationary processes. These are processes in which the distribution of the data after change varies with time. The decision-maker does not have access to precise…

Methodology · Statistics 2025-05-14 Yingze Hou , Yousef Oleyaeimotlagh , Rahul Mishra , Hoda Bidkhori , Taposh Banerjee

Autoregressive processes are intensively studied in statistics and other fields of applied stochastics. For many applications the overshoot and the threshold-time are of special interest. When the upward innovations are in the class of…

Probability · Mathematics 2012-05-02 Sören Christensen

This paper investigates the distributed stochastic nonconvex and nonsmooth composite optimization problem. Existing stochastic typically rely on uniform step size strictly bounded by global network parameters, such as the maximum node…

Optimization and Control · Mathematics 2026-03-10 Yangming Zhang , Yongyang Xiong , Jinming Xu , Keyou You , Yang Shi

Copulas, generalized estimating equations, and generalized linear mixed models promote the analysis of grouped data where non-normal responses are correlated. Unfortunately, parameter estimation remains challenging in these three…

Methodology · Statistics 2024-10-16 Sarah S. Ji , Benjamin B. Chu , Hua Zhou , Kenneth Lange

Efficient and scalable non-parametric or semi-parametric regression analysis and density estimation are of crucial importance to the fields of statistics and machine learning. However, available methods are limited in their ability to…

Machine Learning · Computer Science 2026-03-23 Zeyu Ding , Katja Ickstadt , Nadja Klein , Alexander Munteanu , Simon Omlor

In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

Statistics Theory · Mathematics 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

Phase-type distribution has been an important probabilistic tool in the analysis of complex stochastic system evolution. It was introduced by Neuts \cite{Neuts1975} in 1975. The model describes the lifetime distribution of a finite-state…

Methodology · Statistics 2016-11-14 B. A. Surya

We propose a novel family of test statistics to detect the presence of changepoints in a sequence of dependent, possibly multivariate, functional-valued observations. Our approach allows to test for a very general class of changepoints,…

Methodology · Statistics 2023-10-10 B. Cooper Boniece , Lajos Horváth , Lorenzo Trapani

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotation of measurement data relevant, e.g., for designing…

In this paper, we consider the relationship between phase-type distributions and positive systems through practical examples. Phase-type distributions, commonly used in modelling dynamic systems, represent the temporal evolution of a set of…

Methodology · Statistics 2024-08-20 Luz Judith Rodríguez Esparza , Fernando Baltazar Larios
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