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We define optimal per-particle fluctuation and correlation measures, relate fluctuations and correlations through an integral equation and show how to invert that equation to obtain precise autocorrelations from fluctuation scale…

High Energy Physics - Phenomenology · Physics 2009-11-11 Duncan J Prindle , Thomas A Trainor

In covariate-adaptive or response-adaptive randomization, the treatment assignment and outcome can be correlated. Under this situation, re-randomization tests are a straightforward and attractive method to provide valid statistical…

Methodology · Statistics 2023-03-14 Yilong Zhang , Yujie Zhao , Yiwen Luo

Biological genomes are divided into coding and non-coding regions. Introns are non-coding parts within genes, while the remaining non-coding parts are intergenic sequences. To study the evolutionary significance of recombination inside…

Populations and Evolution · Quantitative Biology 2009-11-11 Stanislaw Cebrat , Andrzej Pekalski , Fabian Scharf

Permutation approach is suggested as a method to investigate financial time series in micro scales. The method is used to see how high frequency trading in recent years has affected the micro patterns which may be seen in financial time…

Statistical Finance · Quantitative Finance 2014-08-06 Cina Aghamohammadi , Mehran Ebrahimian , Hamed Tahmooresi

Sequential Monte Carlo (SMC) methods are a class of Monte Carlo methods that are used to obtain random samples of a high dimensional random variable in a sequential fashion. Many problems encountered in applications often involve different…

Methodology · Statistics 2018-12-20 Chencheng Cai , Rong Chen , Ming Lin

Consider a Markov chain defined on a finite state space, X, that leaves invariant the uniform distribution on X, and whose transition probabilities are integer multiples of 1/Q, for some integer Q. I show how a simulation of n transitions…

Computation · Statistics 2012-05-02 Radford M. Neal

Large-scale Monte Carlo simulations, together with scaling, are used to obtain the critical behavior of the Hastings long-range model and two corresponding models based on small-world networks. These models have combined short- and…

Materials Science · Physics 2007-05-23 X. Zhang , M. A. Novotny

We investigate the typical cycle lengths, the total number of cycles, and the number of finite cycles in random permutations whose probability involves cycle weights. Typical cycle lengths and total number of cycles depend strongly on the…

Probability · Mathematics 2013-11-28 Nicholas M. Ercolani , Daniel Ueltschi

Sequential Monte Carlo methods, also known as particle methods, are a popular set of techniques for approximating high-dimensional probability distributions and their normalizing constants. These methods have found numerous applications in…

Computation · Statistics 2021-06-23 Jeremy Heng , Adrian N. Bishop , George Deligiannidis , Arnaud Doucet

Recursive Monte Carlo filters, also called particle filters, are a powerful tool to perform computations in general state space models. We discuss and compare the accept--reject version with the more common sampling importance resampling…

Statistics Theory · Mathematics 2007-06-13 Hans R. Künsch

Permutations of correlated sequences of random variables appear naturally in a variety of applications such as graph matching and asynchronous communications. In this paper, the asymptotic statistical behavior of such permuted sequences is…

Information Theory · Computer Science 2020-01-22 Farhad Shirani , Siddharth Garg , Elza Erkip

The paper illustrates an application of the Resampling approach [2] for the estimation of the aircraft circulation plan reliability. Resampling is an intensive computer statistical method, which can be used effectively in the case of small…

Applications · Statistics 2013-05-14 Maxim Fioshin

In order that current and future renormalon results in QCD can be used to their full advantage it is important to understand how the Borel transforms of related functions are themselves related. For example, a change of renormalisation…

High Energy Physics - Phenomenology · Physics 2007-05-23 David T. Barclay

When permutation methods are used in practice, often a limited number of random permutations are used to decrease the computational burden. However, most theoretical literature assumes that the whole permutation group is used, and methods…

Statistics Theory · Mathematics 2018-08-20 Jesse Hemerik , Jelle Goeman

Recurrence plots exhibit line structures which represent typical behaviour of the investigated system. The local slope of these line structures is connected with a specific transformation of the time scales of different segments of the…

Chaotic Dynamics · Physics 2007-05-23 Norbert Marwan , Juergen Kurths

We analyze the effect of correlations in a simple model of small world network by obtaining exact analytical expressions for the distribution of shortest paths in the network. We enter correlations into a simple model with a distinguished…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. Karimipour , A. Ramezanpour

We propose a test for a change in the mean for a sequence of functional observations that are only partially observed on subsets of the domain, with no information available on the complement. The framework accommodates important scenarios,…

Methodology · Statistics 2025-10-10 Šárka Hudecová , Claudia Kirch

Classical and more recent tests for detecting distributional changes in multivariate time series often lack power against alternatives that involve changes in the cross-sectional dependence structure. To be able to detect such changes…

Statistics Theory · Mathematics 2014-09-16 Axel Bücher , Ivan Kojadinovic , Tom Rohmer , Johan Segers

The Monte Carlo algorithm is increasingly utilized, with its central step involving computer-based random sampling from stochastic models. While both Markov Chain Monte Carlo (MCMC) and Reject Monte Carlo serve as sampling methods, the…

Computation · Statistics 2024-02-28 Fengyu Li , Huijiao Yu , Jun Yan , Xianyong Meng

Pseudorandom sequences are used extensively in communications and remote sensing. Correlation provides one measure of pseudorandomness, and low correlation is an important factor determining the performance of digital sequences in…

Information Theory · Computer Science 2018-06-14 Daniel J. Katz