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We propose a method to remove the contributions of pileup events from higher-order cumulants and moments of event-by-event particle distributions. Assuming that the pileup events are given by the superposition of two independent…

Data Analysis, Statistics and Probability · Physics 2020-10-28 Toshihiro Nonaka , Masakiyo Kitazawa , ShinIchi Esumi

We construct a one-dimensional piecewise linear intermittent map from the interevent time distribution for a given renewal process. Then, we characterize intermittency by the asymptotic behavior near the indifferent fixed point in the…

Chaotic Dynamics · Physics 2015-05-13 Takuma Akimoto , Tomohiro Hasumi , Yoji Aizawa

Factorial moments are convenient tools in nuclear physics to characterize the multiplicity distributions when phase-space resolution ($\Delta$) becomes small. For uncorrelated particle production within $\Delta$, Gaussian statistics holds…

Statistical Finance · Quantitative Finance 2011-08-30 Laurent Schoeffel

The description of multiplicity distributions in terms of the ratios of cumulants to factorial moments is analyzed both for data and for the Monte Carlo generated events. For the PYTHIA generated events the moments are investigated for the…

High Energy Physics - Phenomenology · Physics 2009-11-11 K. Fialkowski , R. Wit

We review recent theoretical developments in understanding the intermittency phenomenon observed in high-energy leptonic, hadronic and nuclear collisions. In particular, we discuss self-similar cascading and QCD parton showers, models with…

High Energy Physics - Phenomenology · Physics 2009-10-22 Ina Sarcevic

The erraticity in the random-cascading $\alpha$ model is revisited. It is found that in contrary to the previous expectation, even in the pure single-$\alpha$ random-cascading model without putting in any particle there exists erraticity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zhou Yifei , Liu Qin , Tang Ying , Cheng Chun

The influence of the entrance channel asymmetry upon the fragmentation process is addressed by studying heavy-ion induced reactions around the Fermi energy. The data have been recorded with the INDRA 4pi array. An event selection method…

Nuclear Experiment · Physics 2009-11-07 N. Bellaize

Models of intermittent behaviour are usually formulated using a set of multiplicative random weights on a Cayley tree. However, intermittency in particle multiproduction from QCD jets is related to fragmentation of an additive quantum…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Peschanski

We extend the definition of a Stochastic Hybrid Automaton (SHA) to overcome limitations that make it difficult to use for on-line control. Since guard sets do not specify the exact event causing a transition, we introduce a clock structure…

Optimization and Control · Mathematics 2012-03-26 Ali Kebarighotbi , Christos G. Cassandras

It is demonstrated how to obtain the least biased description of the single particle spectra measured in all multiparticle production processes by using information theory approach (known also as MaxEnt approach). The case of e+e-…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. S. Navarra , O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

Event of the same type occurring several times for one individual (recurrent events) are present in various domains (industrial systems reliability, episodes of unemployment, political conflicts, chronic diseases episodes). Analysis of such…

Applications · Statistics 2024-01-24 Génia Babykina , Vincent Vandewalle

We report on a Python-toolbox for unbiased statistical analysis of fluorescence intermittency properties of single emitters. Intermittency, i.e., step-wise temporal variations in the instantaneous emission intensity and fluorescence decay…

Computational Physics · Physics 2021-05-06 Isabelle M. Palstra , A. Femius Koenderink

Finding interdependency relations between (possibly multivariate) time series provides valuable knowledge about the processes that generate the signals. Information theory sets a natural framework for non-parametric measures of several…

Information Theory · Computer Science 2016-02-09 German Gomez-Herrero , Wei Wu , Kalle Rutanen , Miguel C. Soriano , Gordon Pipa , Raul Vicente

A method is derived for the quantitative analysis of signals that are composed of superpositions of isolated, time-localized "events". Here these events are taken to be well represented as rescaled and phase-rotated versions of generalized…

Methodology · Statistics 2017-04-20 J. M. Lilly

Inhomogeneous phase-type (IPH) distributions extend classical phase-type models by allowing transition intensities to vary over time, offering greater flexibility for modeling heavy-tailed or time-dependent absorption phenomena. We focus on…

Methodology · Statistics 2025-12-19 Fernando Baltazar-Larios , Alejandra Quintos

Theoretical and experimental studies of high multiplicity events are analyzed. Some interesting phenomena can be revealed at high multiplicities. Preliminary results of project "Thermalization" are reported.

High Energy Physics - Phenomenology · Physics 2007-07-03 E. S. Kokoulina , A. Ya. Kutov , for SVD-2 Collaboration

Three-level data structures arising from repeated measures on individuals clustered within larger units are common in health research studies. Missing data are prominent in such studies and are often handled via multiple imputation (MI).…

In order to process a potential moment sequence by the entropy optimization method one has to be assured that the original measure is absolutely continuous with respect to Lebesgue measure. We propose a non-linear exponential transform of…

Functional Analysis · Mathematics 2013-01-01 Marko Budišić , Mihai Putinar

The intermittency-type fluctuations as outlined by Bialas and Peschanski in the 1980s is analysed in $pp$ collisions at $\sqrt{s}=$ 0.9, 7 and 8 TeV from the CMS collaboration at CERN. Our preliminary analysis shows that the intermittency…

High Energy Physics - Phenomenology · Physics 2022-02-24 Z. Ong , P. Agarwal , H. W. Ang , A. H. Chan , C. H. Oh

Many scientific fields, from medicine to seismology, rely on analyzing sequences of events over time to understand complex systems. Traditionally, machine learning models must be built and trained from scratch for each new dataset, which is…

Machine Learning · Computer Science 2026-01-21 David Berghaus , Patrick Seifner , Kostadin Cvejoski , Ramses J. Sanchez