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Stochastic orders are very useful tool to compare the lifetimes of two coherent systems. We show that, under certain conditions, a coherent system of used components performs better (worse) than a used coherent system with respect to…

应用统计 · 统计学 2016-01-20 Nil Kamal Hazra , Asok K. Nanda

We develop a stochastic epidemic model progressing over dynamic networks, where infection rates are heterogeneous and may vary with individual-level covariates. The joint dynamics are modeled as a continuous-time Markov chain such that…

统计方法学 · 统计学 2021-12-16 Fan Bu , Allison E. Aiello , Alexander Volfovsky , Jason Xu

The past decades have seen increasing interest in modelling uncertainty by heterogeneous methods, combining probability and interval analysis, especially for assessing parameter uncertainty in engineering models. A unifying mathematical…

概率论 · 数学 2022-08-15 Jelena Karakašević , Michael Oberguggenberger

The notion of periodic two-scale convergence and the method of periodic unfolding are prominent and useful tools in multiscale modeling and analysis of PDEs with rapidly oscillating periodic coefficients. In this paper we are interested in…

偏微分方程分析 · 数学 2021-05-28 Martin Heida , Stefan Neukamm , Mario Varga

Finite mixtures of multivariate normal distributions have been widely used in empirical applications in diverse fields such as statistical genetics and statistical finance. Testing the number of components in multivariate normal mixture…

统计理论 · 数学 2019-02-11 Hiroyuki Kasahara , Katsumi Shimotsu

In this paper, we study stochastic ordering results between two finite mixtures with single and multiple outliers, assuming subpopulations follow general exponentiated location-scale distributions. For single-outlier mixtures, several…

统计理论 · 数学 2025-11-04 Raju Bhakta , Kaushik Gupta , Ghobad Saadat Kia , Suchandan Kayal

We study the probability distribution of the ratio of consecutive level spacings for embedded one plus two-body random matrix ensembles with and without spin degree of freedom and for both fermion and boson systems. The agreement between…

混沌动力学 · 物理学 2015-06-16 N. D. Chavda , V. K. B. Kota

We consider a multicontinuum model in porous media applications, which is described as a system of coupled flow equations. The coupling between different continua depends on many factors and its modeling is important for porous media…

概率论 · 数学 2020-01-27 Hakima Bessaih , Razvan Florian Maris

On the basis of a model system of pillars built of unit cubes, a two-component entropic measure for the multiscale analysis of spatio-compositional inhomogeneity is proposed. It quantifies the statistical dissimilarity per cell of the…

统计力学 · 物理学 2015-05-13 Ryszard Piasecki

We propose and analyze a specific asymptotic stochastic order for random processes based on the measure of departure discussed in the literature. As applications, we stochastically compare mixtures of order statistics and record values…

概率论 · 数学 2021-03-04 Sugata Ghosh , Asok K. Nanda

Usually, methods evaluating system reliability require engineers to quantify the reliability of each of the system components. For series and parallel systems, there are some options to handle the estimation of each component's reliability.…

统计方法学 · 统计学 2018-05-29 Agatha Rodrigues , Carlos Alberto Pereira , Adriano Polpo

Parareal is a well-studied algorithm for numerically integrating systems of time-dependent differential equations by parallelising the temporal domain. Given approximate initial values at each temporal sub-interval, the algorithm locates a…

数值分析 · 数学 2022-07-11 Kamran Pentland , Massimiliano Tamborrino , D. Samaddar , L. C. Appel

In this paper we present Ethane, a parallel search algorithm specifically designed for its execution on heterogeneous hardware environments. With Ethane we propose an algorithm inspired in the structure of the chemical compound of the same…

神经与进化计算 · 计算机科学 2011-06-01 Julián Domínguez , Enrique Alba

The homogeneous partly pinned fluid systems are simple models of a fluid confined in a disordered porous matrix obtained by arresting randomly chosen particles in a one-component bulk fluid or one of the two components of a binary mixture.…

软凝聚态物质 · 物理学 2010-12-07 Vincent Krakoviack

We consider the averaging principle for deterministic or stochastic systems with a fast stochastic component (family of continuous-time Markov chains depending on the state of the system as a parameter). We show that, due to bifurcations in…

概率论 · 数学 2020-02-25 Mark Freidlin , Leonid Koralov

Given a chain complex with the only modification that each cell of the complex has a probability distribution assigned. We will call this complex - a random complex and what should be understood in practice, is that we have a classical…

代数拓扑 · 数学 2016-11-25 Todor Todorov

We study the homogenization property of systems of quasi-linear PDEs of parabolic type with periodic coefficients, highly oscillating drift and highly oscillating nonlinear term. To this end, we propose a probabilistic approach based on the…

概率论 · 数学 2007-05-23 Francois Delarue

Materials with nanoscale phase separation are considered. These materials are formed by a mixture of several phases, so that inside one phase there exist nanosize inclusions of other phases, with random shapes and random spatial locations.…

介观与纳米尺度物理 · 物理学 2014-03-31 V. I. Yukalov , E. P. Yukalova

Discrete random structures are important tools in Bayesian nonparametrics and the resulting models have proven effective in density estimation, clustering, topic modeling and prediction, among others. In this paper, we consider nested…

In this manuscript, we consider a finite multivariate nonparametric mixture model where the dependence between the marginal densities is modeled using the copula device. Pseudo EM stochastic algorithms were recently proposed to estimate all…

统计计算 · 统计学 2022-12-14 Michael Levine , Gildas Mazo