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A pivotal task in quantum metrology, and quantum parameter estimation in general, is to de- sign schemes that achieve the highest precision with given resources. Standard models of quantum metrology usually assume the dynamics is fixed, the…

量子物理 · 物理学 2017-07-18 Jing Liu , Haidong Yuan

During their exposure, nuclear emulsion sheets detect both tracks from experiment-related particles, as well as a considerable amount of background tracks, mainly due to cosmic rays. Unless the exposure has been fairly short, it is…

高能物理 - 实验 · 物理学 2009-10-31 G. Brooijmans

As experiments continue to push the quantum-classical boundary using increasingly complex dynamical systems, the interpretation of experimental data becomes more and more challenging: when the observations are noisy, indirect, and limited,…

量子物理 · 物理学 2014-01-28 Mankei Tsang

Superstatistics is a widely employed tool of non-equilibrium statistical physics which plays an important role in analysis of hierarchical complex dynamical systems. Yet, its "canonical" formulation in terms of a single nuisance parameter…

统计金融 · 定量金融 2017-11-10 Petr Jizba , Jan Korbel , Hynek Lavička , Martin Prokš , Václav Svoboda , Christian Beck

Statistical methods are indispensable to scientific inference. However, there exists a longstanding tension across a wide range of scientific disciplines about the role that ``context'' should play in the application of statistical methods…

应用统计 · 统计学 2026-04-06 Ashley I Naimi

The cleanest way to discover a new particle is generally the "bump-hunt" methodology: looking for a localised excess in a mass (or related) distribution. However, if the mass of the particle being discovered is not known the procedure of…

高能物理 - 唯象学 · 物理学 2025-06-03 William Murray , Matt O'Neill , Finn O'Gara

We report new statistical time-series analysis tools providing significant improvements in the rapid, precision extraction of discrete state dynamics from large databases of experimental observations of molecular machines. By building…

In this paper we improve some existing results concerning the approximation of the distribution of extremes of a 1-dependent and stationary sequence of random variables. We enlarge the range of applicability and improve the approximation…

概率论 · 数学 2012-11-26 Alexandru Amarioarei

We investigate the statistics of the cosmic microwave background using the Kolmogorov-Smirnov test. We show that, when we correctly de-correlate the data, the partition function of the Kolmogorov stochasticity parameter is compatible with…

宇宙学与河外天体物理 · 物理学 2012-11-01 Mona Frommert , Ruth Durrer , Jérôme Michaud

We discuss a general approach to handling "multiple hypotheses" testing in the case when a particular hypothesis states that the vector of parameters identifying the distribution of observations belongs to a convex compact set associated…

统计理论 · 数学 2016-02-24 A. Goldenshluger , A. Juditski , A. Nemirovski

We deliver a call to arms for probabilistic numerical methods: algorithms for numerical tasks, including linear algebra, integration, optimization and solving differential equations, that return uncertainties in their calculations. Such…

数值分析 · 数学 2016-02-17 Philipp Hennig , Michael A Osborne , Mark Girolami

The incorporation of uncertainties to calculations of signal significance in planned experiments is an actual task. Several approaches to this problem are discussed. We present a procedure for taking into account the systematic uncertainty…

高能物理 - 唯象学 · 物理学 2009-11-07 S. I. Bityukov

We demonstrate that fast removal of many electrons uncovers initial correlations of atoms in a finite sample through a pronounced peak in the kinetic-energy spectrum of the exploding ions. This maximum is the result of an intricate…

原子与分子团簇 · 物理学 2013-03-27 Ulf Saalmann , Alexey Mikaberidze , Jan M. Rost

Sampling is often a necessary evil to reduce the processing and storage costs of distributed tracing. In this work, we describe a scalable and adaptive sampling approach that can preserve events of interest better than the widely used…

数据结构与算法 · 计算机科学 2021-07-19 Otmar Ertl

We propose several statistics to test the Markov hypothesis for $\beta$-mixing stationary processes sampled at discrete time intervals. Our tests are based on the Chapman--Kolmogorov equation. We establish the asymptotic null distributions…

统计理论 · 数学 2016-08-14 Yacine Aït-Sahalia , Jianqing Fan , Jiancheng Jiang

Recently we proposed a formalism, based in nuclear statistical spectroscopy, for efficient computation of nuclear level density, or densities of states, through a sum of partitioned binomial functions (SUPARB). In this Letter we extend the…

核理论 · 物理学 2007-05-23 Calvin W. Johnson , Jameel-Un Nabi , W. Erich Ormand

We prescribe the minimal set of experimental data and parameters that should be reported for random-laser experiments and models. This prescript allows for a quantitative comparison between different experiments, and for a criterion whether…

无序系统与神经网络 · 物理学 2009-11-11 Karen L. van der Molen , Allard P. Mosk , Ad Lagendijk

Higher criticism is a large-scale testing procedure that can attain the optimal detection boundary for sparse and faint signals. However, there has been a lack of knowledge in most existing works about its asymptotic distribution for more…

统计理论 · 数学 2025-11-11 Jingkun Qiu

We demonstrate the equilibration of isolated macroscopic quantum systems, prepared in non-equilibrium mixed states with significant population of many energy levels, and observed by instruments with a reasonably bound working range compared…

统计力学 · 物理学 2009-11-13 Peter Reimann

We describe an approximate statistical model for the sample variance distribution of the non-linear matter power spectrum that can be calibrated from limited numbers of simulations. Our model retains the common assumption of a multivariate…

天体物理学 · 物理学 2008-09-22 Michael D. Schneider , Lloyd Knox , Salman Habib , Katrin Heitmann , David Higdon , Charles Nakhleh
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