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The structure of a network has a major effect on dynamical processes on that network. Many studies of the interplay between network structure and dynamics have focused on models of phenomena such as disease spread, opinion formation and…

Dynamical Systems · Mathematics 2025-10-21 Lucas Böttcher , Mason A. Porter

A load sharing system has several components and the failure of one component can affect the lifetime of the surviving components. Since component failure does not equate to system failure for different system designs, the analysis of the…

Applications · Statistics 2023-07-20 Tim Pesch , Erhard Cramer , Edward Cripps , Adriano Polpo

Fault tolerance is a key factor of industrial computing systems design. But in practical terms, these systems, like every commercial product, are under great financial constraints and they have to remain in operational state as long as…

Systems and Control · Computer Science 2015-03-31 Andrey A. Shchurov

The work relates to a new way for analysis of one-dimensional stochastic systems, based on consideration of its higher order difference structure. From this point of view, the deterministic and random processes are analyzed. A new numerical…

Chaotic Dynamics · Physics 2016-09-08 A. Yu. Shahverdian , A. V. Apkarian

A new family of penalty functions, adaptive to likelihood, is introduced for model selection in general regression models. It arises naturally through assuming certain types of prior distribution on the regression parameters. To study…

Methodology · Statistics 2013-08-26 Yang Feng , Tengfei Li , Zhiliang Ying

Investigating the main determinants of the mechanical performance of metals is not a simple task. Already known physical inspired qualitative relations between 2D microstructure characteristics and 3D mechanical properties can act as the…

Applications · Statistics 2020-02-05 Martina Vittorietti , Javier Hidalgo , Jilt Sietsma , Wei Li , Geurt Jongbloed

The dependency on the correct functioning of embedded systems is rapidly growing, mainly due to their wide range of applications, such as micro-grids, automotive device control, health care, surveillance, mobile devices, and consumer…

Logic in Computer Science · Computer Science 2017-03-01 Lucas Cordeiro

In this paper, we develop a new method to estimate the parameters of a deteriorating system under perfect condition-based maintenance. This method is based on the asymptotical behavior of the system, which is studied by using the renewal…

Statistics Theory · Mathematics 2013-07-15 Philippe Briand , Edwige Idée , Céline Labart

The influence of the microstructure of a polycrystalline material on its macroscopic deformation response is still one of the major problems in materials engineering. For materials characterized by elastic-plastic deformation responses,…

Materials Science · Physics 2022-02-07 Jan N. Fuhg , Lloyd van Wees , Mark Obstalecki , Paul Shade , Nikolaos Bouklas , Matthew Kasemer

We study the robustness of system estimation to parametric perturbations in system dynamics and initial conditions. We define the problem of sensitivity-based parametric uncertainty quantification in dynamical system estimation. The main…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Ayush Pandey

Bayesian inference and the use of posterior or posterior predictive probabilities for decision making have become increasingly popular in clinical trials. The current practice in Bayesian clinical trials relies on a hybrid…

Methodology · Statistics 2024-04-30 Shirin Golchi , James Willard

This paper analyzes several different biases that emerge from the (possibly) low-precision nonparametric ingredient in a semiparametric model. We show that both the variance part and the bias part of the nonparametric ingredient can lead to…

Statistics Theory · Mathematics 2020-10-15 Jungjun Choi , Xiye Yang

Nanoscale machines are strongly influenced by thermal fluctuations, contrary to their macroscopic counterparts. As a consequence, even the efficiency of such microscopic machines becomes a fluctuating random variable. Using geometric…

Statistical Mechanics · Physics 2019-04-16 Sreekanth K Manikandan , Lennart Dabelow , Ralf Eichhorn , Supriya Krishnamurthy

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

Statistics Theory · Mathematics 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

Failure modes and effects analysis (FMEA) is one of the most practical design tools implemented in the product design to analyze the possible failures and to improve the design. The use of FMEA is diversified, and different approaches are…

Software Engineering · Computer Science 2021-01-15 Hengameh Fakhravar

Beta regression models are a suitable choice for continuous response variables on the unity interval. Random effects add further flexibility to the models and accommodate data structures such as hierarchical, repeated measures and…

Applications · Statistics 2017-04-25 Wagner H. Bonat , Paulo J. Ribeiro , Walmes Marque Zeviani

Yield Multi-Corner Analysis validates circuits across 25+ Process-Voltage-Temperature corners, resulting in a combinatorial simulation cost of $O(K \times N)$ where $K$ denotes corners and $N$ exceeds $10^4$ samples per corner. Existing…

Machine Learning · Computer Science 2026-03-16 Wei W. Xing , Kaiqi Huang , Jiazhan Liu , Hong Qiu , Shan Shen

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

This paper gives a brief overview on the nonparametric techniques that are useful for financial econometric problems. The problems include estimation and inferences of instantaneous returns and volatility functions of time-homogeneous and…

Statistics Theory · Mathematics 2008-12-10 Jianqing Fan

We propose a model in which dividend payments occur at regular, deterministic intervals in an otherwise continuous model. This contrasts traditional models where either the payment of continuous dividends is controlled or the dynamics are…

Optimization and Control · Mathematics 2019-07-24 Jussi Keppo , Max Reppen , H. Mete Soner