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We give necessary and/or sufficient conditions for stochastic stability of second-order linear autonomous systems with parameters, which are perturbed by a random process of the "white noise" type. The Ito's and Stratonovich's forms of…

动力系统 · 数学 2021-04-06 M. M. Shumafov , V. B. Tlyachev

The execution time of programs is a key element in many areas of computer science, mainly those where achieving good performance (e.g., scheduling in cloud computing) or a predictable one (e.g., meeting deadlines in embedded systems) is the…

分布式、并行与集群计算 · 计算机科学 2020-07-13 Matheus Henrique Junqueira Saldanha

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

统计力学 · 物理学 2017-03-22 Tamás Biró , Zoltán Néda

The dynamics of two competing species in a finite size community is one of the most studied problems in population genetics and community ecology. Stochastic fluctuations lead, inevitably, to the extinction of one of the species, but the…

种群与进化 · 定量生物学 2016-11-30 Matan Danino , David A. Kessler , Nadav M. Shnerb

An approach for the description of stochastic systems is derived. Some of the variables in the system are studied forward in time, others backward in time. The approach is based on a perturbation expansion in the strength of the coupling…

统计力学 · 物理学 2021-08-04 Piero Olla

When optimizing problems with uncertain parameter values in a linear objective, decision-focused learning enables end-to-end learning of these values. We are interested in a stochastic scheduling problem, in which processing times are…

机器学习 · 计算机科学 2024-08-16 Kim van den Houten , David M. J. Tax , Esteban Freydell , Mathijs de Weerdt

We attempt to characterize irreversibility of a dynamical system from the existence of different forward and backward mathematical representations depending on the direction of the time arrow. Such different representations have been…

动力系统 · 数学 2025-08-13 Giorgio Picci

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…

最优化与控制 · 数学 2020-12-08 Andrey Tremba

We characterize the identified sets of a wide range of stochastic choice models, including random utility, various models of boundedly-rational behavior, and dynamic discrete choice. In each of these settings, we show two distributions over…

理论经济学 · 经济学 2026-02-24 Peter Caradonna , Christopher Turansick

Stochastic point processes with refractoriness appear frequently in the quantitative analysis of physical and biological systems, such as the generation of action potentials by nerve cells, the release and reuptake of vesicles at a synapse,…

After a short report of results on infinite servers queues systems, focusing on its busy period, using networks of queues with infinite servers nodes a model is constructed to study a two echelons repair system. These repair systems may be…

概率论 · 数学 2021-10-06 Manuel Alberto M. Ferreira

Stochastic processes that are randomly reset to an initial condition serve as a showcase to investigate non-equilibrium steady states. However, all existing results have been restricted to the special case of memoryless resetting protocols.…

统计力学 · 物理学 2016-03-23 Stephan Eule , Jakob Metzger

In this paper, we develop Bayesian predictive inferential procedures for prediction of repair times of a series system, applying a minimal repair strategy, using the information contained in an independent observed hybrid censored sample of…

统计理论 · 数学 2015-05-26 S. M. T. K. MirMostafaee , Morteza Amini , A. Asgharzadeh

As a specific proportional hazard rates model, sequential order statistics can be used to describe the lifetimes of load-sharing systems. Inference for these systems needs to account for small sample sizes, which are prevalent in…

统计方法学 · 统计学 2019-09-17 Fabian Mies , Stefan Bedbur

This paper considers the joint distribution of elements of a random sample and an order statistic of the same sample. \ The motivation for this work stems from the important problem in reliability analysis, to estimate the number of…

统计理论 · 数学 2019-03-04 Ismihan Bairamov

Deterministic population growth models with power-law rates can exhibit a large variety of growth behaviors, ranging from algebraic, exponential to hyperexponential (finite time explosion). In this setup, selfsimilarity considerations play…

统计力学 · 物理学 2016-04-20 Nicolas Grosjean , Thierry Huillet

In this paper, we investigate stochastic comparisons of parallel systems, and obtain two characterization results in this regard. First, we compare a parallel system with independent heterogeneous components to a parallel system with…

概率论 · 数学 2019-12-03 Khaled Masoumifard

This work considers stochastic operators in general inner-product spaces, and in particular, systems with stochastically time-varying input delays of a known probability distribution. Stochastic dissipativity and stability are defined from…

最优化与控制 · 数学 2024-04-22 Ethan LoCicero , Amy Strong , Leila Bridgeman

This article is a contribution to the understanding of fluctuations in the out of equilibrium dynamics of glassy systems. By extending theoretical ideas based on the assumption that time-reparametrization invariance develops asymptotically…

统计力学 · 物理学 2015-05-28 Claudio Chamon , Federico Corberi , Leticia F. Cugliandolo

Any large functioning system consists of equipment that needs to be repaired during its lifetime. The methods of mathematical programming are used to formalize the optimization problem of preventive equipment repair planning in this paper.…

最优化与控制 · 数学 2018-11-15 O. A. Malafeyev , N. D. Redinskikh , S. A. Nemnyugin , I. D. Kolesin , I. V. Zaitseva