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The recent proliferation of computers and the internet have opened new opportunities for collecting and processing data. However, such data are often obtained without a well-planned probability survey design. Such non-probability based…

应用统计 · 统计学 2024-06-28 Vladislav Beresovsky , Julie Gershunskaya , Terrance D. Savitsky

The experimentally measured multiplicity distributions exhibit, after closer inspection, peculiarly enhanced void probability and oscillatory behavior of the modified combinants. We show that both these features can be used as additional…

高能物理 - 唯象学 · 物理学 2019-09-05 M. Rybczynski , Z. Wlodarczyk , G. Wilk

Situations in many fields of research, such as digital communications, nuclear physics and mathematical finance, can be modelled with random matrices. When the matrices get large, free probability theory is an invaluable tool for describing…

信息论 · 计算机科学 2007-07-13 O. Ryan , M. Debbah

The present work provides an original framework for random matrix analysis based on revisiting the concentration of measure theory from a probabilistic point of view. By providing various notions of vector concentration ($q$-exponential,…

概率论 · 数学 2021-01-19 Cosme Louart , Romain Couillet

The emission properties of a molecular light source depend on its optical and chemical environment. This dependence, however, is different for various light sources. We present a general classification of sources by introducing the concepts…

光学 · 物理学 2011-03-10 Ramy G. S. El-Dardiry , Sanli Faez , Ad Lagendijk

This paper considers the problem of estimating a power-law degree distribution of an undirected network using sampled data. Although power-law degree distributions are ubiquitous in nature, the widely used parametric methods for estimating…

社会与信息网络 · 计算机科学 2021-03-09 Buddhika Nettasinghe , Vikram Krishnamurthy

The mutual derivation between arbitrary distribution forms of momenta and momentum components of particles produced in an isotropic emission source are systematically studied in terms of probability theory and mathematical statistics. The…

核理论 · 物理学 2019-07-23 Pei-Pin Yang , Qi Wang , Fu-Hu Liu

Observers are well known in control theory. Originally designed to estimate the hidden states of dynamical systems given some measurements, the observers scope has been recently extended to the estimation of some unknowns, for systems…

最优化与控制 · 数学 2014-01-21 Sharefa Asiri , Taous-Meriem Laleg-Kirati , Chadia Zayane-Aissa

Power systems usually go through electromagnetic and electromechanical transient processes after different disturbances. Learning the characteristics and the differences between them are important but not easy for students majoring in power…

系统与控制 · 电气工程与系统科学 2022-02-01 Abdulelah Alharbi , Shutang You

In this work, a new Physics laboratory experiment on Acoustics beats is presented. We have designed a simple experimental setup to study superposition of sound waves of slightly different frequencies (acoustic beat). The microphone of a…

We propose experimentally feasible ways to probe universal features of absorbing phase transitions from two different approaches, both based on numerical validations. On one hand, we numerically study a probability distribution of…

统计力学 · 物理学 2018-12-20 Keiichi Tamai , Masaki Sano

We introduce a method to sample the orientational distribution function in computer simulations. The method is based on the exact torque balance equation for classical many-body systems of interacting anisotropic particles in equilibrium.…

软凝聚态物质 · 物理学 2023-04-12 Johannes Renner , Matthias Schmidt , Daniel de las Heras

We construct a semiparametric estimator in case-control studies where the gene and the environment are assumed to be independent. A discrete or continuous parametric distribution of the genes is assumed in the model. A discrete distribution…

统计理论 · 数学 2010-10-12 Yanyuan Ma

The envelope of an elliptical Gaussian complex vector, or equivalently, the amplitude or norm of a bivariate normal random vector has application in many weather and signal processing contexts. We explicitly characterize its distribution in…

统计理论 · 数学 2026-02-03 Sattwik Ghosal , Ranjan Maitra

Measurement of a quantum system provides information concerning the state in which it was prepared. In this paper we show how the retrodictive formalism can be used to evaluate the probability associated with any one of a given set of…

量子物理 · 物理学 2016-09-08 Stephen M. Barnett , David T. Pegg , John Jeffers , Ottavia Jedrkiewicz

In this paper we consider a statistical estimation problem known as atomic deconvolution. Introduced in reliability, this model has a direct application when considering biological data produced by flow cytometers. In these experiments,…

统计理论 · 数学 2017-10-12 Manon Costa , Sébastien Gadat , Pauline Gonnord , Laurent Risser

Recent reports of superconductivity in the vicinity of room temperature have been the subject of discussion by the community. Specifically, features in the resistance-temperature (R-T) relations have raised questions. We show that many of…

超导电性 · 物理学 2024-04-02 Alexander C. Mark , Russell J. Hemley

The concept of Probability of Causation (PC) is critically important in legal contexts and can help in many other domains. While it has been around since 1986, current operationalizations can obtain only the minimum and maximum values of…

统计方法学 · 统计学 2018-08-14 Tapajit Dey , Audris Mockus

In particle-in-cell simulations and some other statistical computations, the representation of modelled distributions with tracked macro-particles can become locally excessive. Merging or resampling dense clusters or highly-populated phase…

计算物理 · 物理学 2020-12-21 Arkady Gonoskov

We consider the problem of classification of points sampled from an unknown probability measure on a Euclidean space. We study the question of querying the class label at a very small number of judiciously chosen points so as to be able to…

机器学习 · 计算机科学 2020-12-09 Alexander Cloninger , Hrushikesh Mhaskar