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Load-sharing systems arise in many different reliability applications, for instance, when modeling tensile strength of fibrous composites in textile industry or lifetimes of redundant technical systems in engineering. Sequential order…

统计方法学 · 统计学 2025-05-01 Stefan Bedbur , Johann Köhne , Fabian Mies

CUSUMs based on the signed sequential ranks of observations are developed for detecting location and scale changes in symmetric distributions. The CUSUMs are distribution free and fully self-starting: given a specified in-control median and…

统计方法学 · 统计学 2017-06-14 F. Lombard , C. Van Zyl

This paper focuses on the invariance control problem for discrete-time switched nonlinear systems. The proposed approach computes controlled invariant sets in a finite number of iterations and directly yields a partition-based invariance…

最优化与控制 · 数学 2016-09-01 Yinan Li , Jun Liu

The present work addresses a finite-horizon linear-quadratic optimal control problem for uncertain systems driven by piecewise constant controls. The precise values of the system parameters are unknown, but assumed to belong to a finite set…

系统与控制 · 计算机科学 2021-08-05 Félix A. Miranda , Fernando Castaños , Alexander Poznyak

A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is built by considering one cut-point in the non-negative…

统计方法学 · 统计学 2025-01-15 Christian Acal , Juan Eloy Ruiz-Castro , David Maldonado , Juan B. Roldán

This paper develops a unified methodology for probabilistic analysis and optimal control design for jump diffusion processes defined by polynomials. For such systems, the evolution of the moments of the state can be described via a system…

最优化与控制 · 数学 2017-02-03 Andrew Lamperski , Khem Raj Ghusinga , Abhyudai Singh

In this paper we design suboptimal control laws for an unknown linear system on the basis of measured data. We focus on the suboptimal linear quadratic regulator problem and the suboptimal H2 control problem. For both problems, we establish…

最优化与控制 · 数学 2020-05-08 Henk J. van Waarde , Mehran Mesbahi

Building on the free-probability stochastic control framework introduced in arXiv:2502.17329, we connect optimal control problems for $n \times n$ random matrix ensembles with their infinite-dimensional, free-probability analogues. Under…

偏微分方程分析 · 数学 2025-12-01 Wilfrid Gangbo , David Jekel , Kyeongsik Nam , Aaron Z. Palmer

This paper is concerned with the distributed linear quadratic optimal control problem. In particular, we consider a suboptimal version of the distributed optimal control problem for undirected multi-agent networks. Given a multi-agent…

最优化与控制 · 数学 2018-03-08 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

Data-driven damage detection methods achieve damage identification by analyzing changes in damage-sensitive features (DSFs) derived from structural health monitoring (SHM) data. The core reason for their effectiveness lies in the fact that…

应用统计 · 统计学 2026-01-21 Zhicheng Chen , Wenyu Chen , Xinyi Lei

Causal graphs may inform covariate adjustment for estimating causal effects and improve estimation efficiency by exploiting the graphical structure. In many applications, however, the target causal parameter may not be point-identified due…

In this work, we introduce a deterministic frontier model in which efficiency is governed by the Matsuoka distribution, a parsimonious one-parameter specification on $(0,1)$ designed to reflect patterns typically observed in efficiency…

统计方法学 · 统计学 2026-01-14 Danilo Hiroshi Matsuoka , Guilherme Pumi , Hudson da Silva Torrent , Marcio valk

We study an optimal control problem for traffic regulation via variable speed limit. The traffic flow dynamics is described with the Lighthill-Whitham-Richards (LWR) model with Newell-Daganzo flux function. We aim at minimizing the $L^2$…

最优化与控制 · 数学 2016-03-16 Maria Laura Delle Monache , Benedetto Piccoli , Francesco Rossi

Originating from a system theory and an input/output point of view, I introduce a new class of generalized distributions. A parametric nonlinear transformation converts a random variable $X$ into a so-called Lambert $W$ random variable $Y$,…

应用统计 · 统计学 2015-03-13 Georg M. Goerg

We provide new limit theory for functionals of a general class of processes lying at the boundary between stationarity and nonstationarity -- what we term weakly nonstationary processes (WNPs). This includes, as leading examples, fractional…

统计理论 · 数学 2020-08-17 James A. Duffy , Ioannis Kasparis

We consider the complex eigenvalues of a Wishart type random matrix model $X=X_1 X_2^*$, where two rectangular complex Ginibre matrices $X_{1,2}$ of size $N\times (N+\nu)$ are correlated through a non-Hermiticity parameter $\tau\in[0,1]$.…

概率论 · 数学 2021-03-26 Gernot Akemann , Sung-Soo Byun , Nam-Gyu Kang

This paper considers a sequence of random variables generated according to a common distribution. The distribution might undergo periods of transient changes at an unknown set of time instants, referred to as change-points. The objective is…

信息论 · 计算机科学 2018-04-26 Javad Heydari , Ali Tajer

This paper presents novel stabilizability conditions for switched linear systems with arbitrary and uncontrollable underlying switching signals. We distinguish and study two particular settings: i) the \emph{robust} case, in which the…

最优化与控制 · 数学 2023-06-21 Matteo Della Rossa , Thiago Alves Lima , Marc Jungers , Raphaël M. Jungers

Increasing practical interest has been shown in regression problems where the errors, or disturbances, are centred in a way that reflects particular characteristics of the mechanism that generated the data. In economics this occurs in…

统计理论 · 数学 2009-09-07 Peter Hall , Ingrid Van Keilegom

In this paper, we investigate how to achieve the unpredictability against malicious inferences for linear systems. The key idea is to add stochastic control inputs, named as unpredictable control, to make the outputs irregular. The future…

系统与控制 · 电气工程与系统科学 2025-08-21 Chendi Qu , Jianping He , Jialun Li , Xiaoming Duan