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The frequentist interpretation of measurement results requires the specification of an ensemble of independent replications of the same experiment. For complex calculations of bias, coverage, significance, etc., this ensemble is often…

Data Analysis, Statistics and Probability · Physics 2014-11-18 Luc Demortier

When common factors strongly influence two power-law cross-correlated time series recorded in complex natural or social systems, using classic detrended cross-correlation analysis (DCCA) without considering these common factors will bias…

Statistical Finance · Quantitative Finance 2015-06-29 Xi-Yuan Qian , Ya-Min Liu , Zhi-Qiang Jiang , Boris Podobnik , Wei-Xing Zhou , H. Eugene Stanley

In this paper we propose a general series method to estimate a semiparametric partially linear varying coefficient model. We establish the consistency and \sqrtn-normality property of the estimator of the finite-dimensional parameters of…

Statistics Theory · Mathematics 2007-06-13 Ibrahim Ahmad , Sittisak Leelahanon , Qi Li

We consider the hypothesis testing problem of deciding whether an observed high-dimensional vector has independent normal components or, alternatively, if it has a small subset of correlated components. The correlated components may have a…

Statistics Theory · Mathematics 2012-06-04 Ery Arias-Castro , Sébastien Bubeck , Gábor Lugosi

We present a high speed random number generation scheme based on measuring the quantum phase noise of a single mode diode laser operating at a low intensity level near the lasing threshold. A delayed self-heterodyning system has been…

Quantum Physics · Physics 2010-01-25 Bing Qi , Yue-Meng Chi , Hoi-Kwong Lo , Li Qian

In this paper we consider a fractional stochastic volatility model, that is a model in which the volatility may exhibit a long-range dependent or a rough/antipersistent behavior. We propose a dynamic sequential Monte Carlo methodology that…

Methodology · Statistics 2017-02-28 Alexandra Chronopoulou , Konstantinos Spiliopoulos

Sequences with low aperiodic autocorrelation are used in communications and remote sensing for synchronization and ranging. The autocorrelation demerit factor of a sequence is the sum of the squared magnitudes of its autocorrelation values…

Information Theory · Computer Science 2024-08-19 Daniel J. Katz , Miriam E. Ramirez

Data series generated by complex systems exhibit fluctuations on many time scales and/or broad distributions of the values. In both equilibrium and non-equilibrium situations, the natural fluctuations are often found to follow a scaling…

Data Analysis, Statistics and Probability · Physics 2008-04-07 Jan W. Kantelhardt

We propose a new method to generate a sequence of random numbers with long-range power-law correlations that overcomes known difficulties associated with large systems. The new method presents an improvement on the commonly-used methods. We…

Condensed Matter · Physics 2009-10-28 Hernán A. Makse , Shlomo Havlin , Moshe Schwartz , H. Eugene Stanley

A measurement is made of the cross section for the process ep --> eXY in deep-inelastic scattering with the H1 detector at HERA. The cross section is presented in terms of a differential structure function F_2^D(3)(x_P,beta,Q^2) of the…

High Energy Physics - Experiment · Physics 2010-03-25 C. Adloff

We propose a general and flexible procedure for testing multiple hypotheses about sequential (or streaming) data that simultaneously controls both the false discovery rate (FDR) and false nondiscovery rate (FNR) under minimal assumptions…

Methodology · Statistics 2019-01-14 Jay Bartroff , Jinlin Song

We apply the scale-length method to several three dimensional samples of the Two degree Field Galaxy Redshift Survey. This method allows us to map in a quantitative and powerful way large scale structures in the distribution of galaxies…

Astrophysics · Physics 2009-08-03 Francesco Sylos Labini , Nikolay L. Vasilyev , Yurij V. Baryshev

Time series forecasting is a long-standing problem in statistics and machine learning. One of the key challenges is processing sequences with long-range dependencies. To that end, a recent line of work applied the short-time Fourier…

Machine Learning · Computer Science 2025-02-28 Eyal Yakir , Dor Tsur , Haim Permuter

We propose a semiparametric model for dyadic link formations in directed networks. The model contains a set of degree parameters that measure different effects of popularity or outgoingness across nodes, a regression parameter vector that…

Methodology · Statistics 2025-02-21 Lianqiang Qu , Lu Chen , Ting Yan , Yuguo Chen

The fluctuation-dissipation mechanism underlying non-equilibrium transport in low-energy heavy-ion reactions remains unclear. Although the time-dependent Hartree-Fock (TDHF) method provides a reasonable description of average reaction…

Nuclear Theory · Physics 2025-07-02 Zepeng Gao , Kazuyuki Sekizawa , Long Zhu

The fluctuations in the quantum spectrum could be treated like a time series. In this framework, we explore the statistical self-similarity in the quantum spectrum using the detrended fluctuation analysis (DFA) and random matrix theory…

Chaotic Dynamics · Physics 2007-05-23 M. S. Santhanam , Jayendra N. Bandyopadhyay , Dilip Angom

Large-scale multiple testing under static factor models is widely used to detect sparse signals in high-dimensional data. However, static factor models are arguably too stringent because they ignore serial correlation, which seriously…

Statistics Theory · Mathematics 2025-04-04 Xinxin Yang , Lilun Du

We develop a monitoring procedure to detect changes in a large approximate factor model. Letting $r$ be the number of common factors, we base our statistics on the fact that the $\left( r+1\right) $-th eigenvalue of the sample covariance…

Methodology · Statistics 2022-02-03 Matteo Barigozzi , Lorenzo Trapani

We study the properties of memory of a financial time series adopting two different methods of analysis, the detrended fluctuation analysis (DFA) and the analysis of the power spectrum (PSA). The methods are applied on three time series:…

Statistical Mechanics · Physics 2008-12-02 Simone Bianco

We have carried out extensive statistical, bit level and visual tests of several random number generators used in the applications of physics. Two of the generators tested were recently included in a paper by Ferrenberg {\it et al.} (Phys.…

Condensed Matter · Physics 2007-05-23 I. Vattulainen , K. Kankaala , J. Saarinen , T. Ala-Nissila
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