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Various phenomenological models of particle multiplicity distributions are discussed using a general form of the grand canonical partition function. These phenomenological models include a wide range of varied processes such as coherent…

Nuclear Theory · Physics 2007-05-23 S. J. Lee , A. Z. Mekjian

Simulating samples from arbitrary probability distributions is a major research program of statistical computing. Recent work has shown promise in an old idea, that sampling from a discrete distribution can be accomplished by perturbing and…

Computation · Statistics 2016-04-13 Chris J. Maddison

Difficulties may arise when analyzing longitudinal data using mixed-effects models if there are nonparametric functions present in the linear predictor component. This study extends the use of semiparametric mixed-effects modeling in cases…

Methodology · Statistics 2024-02-05 Mozhgan Taavoni , Mohammad Arashi

We consider bond percolation on the square lattice with perfectly correlated random probabilities. According to scaling considerations, mapping to a random walk problem and the results of Monte Carlo simulations the critical behavior of the…

Statistical Mechanics · Physics 2009-11-07 Róbert Juhász , Ferenc Iglói

A recent observation of a threshold momentum difference in the production of adjacent hadrons is implemented in the fragmentation model of a three-dimensional QCD string, with the aim to investigate the common origin of the azimuthal…

High Energy Physics - Phenomenology · Physics 2021-10-27 Sharka Todorova-Nova

This paper proposes a Sequential Monte Carlo approach for the Bayesian estimation of mixed causal and noncausal models. Unlike previous Bayesian estimation methods developed for these models, Sequential Monte Carlo offers extensive…

Econometrics · Economics 2025-01-08 Gianluca Cubadda , Francesco Giancaterini , Stefano Grassi

In order to describe the extremal behaviour of some stochastic process $X$, approaches from univariate extreme value theory are typically generalized to the spatial domain. In particular, generalized peaks-over-threshold approaches allow…

Methodology · Statistics 2026-01-01 Max Thannheimer , Marco Oesting

This paper deals with feature selection procedures for spatial point processes intensity estimation. We consider regularized versions of estimating equations based on Campbell theorem derived from two classical functions: Poisson likelihood…

Methodology · Statistics 2018-07-12 Achmad Choiruddin , Jean-François Coeurjolly , Frédérique Letué

An average instantaneous cross-correlation function is introduced to quantify the interaction of the financial market of a specific time. Based on the daily data of the American and Chinese stock markets, memory effect of the average…

Statistical Finance · Quantitative Finance 2015-05-18 Tian Qiu , Guang Chen , Li-Xin Zhong , Xiao-Wei Lei

The uncertainty of Compton backscattering process is studied by virtue of analytical formulas, and the special effects of variant energy spread and energy drift on the systematic uncertainty estimation are also studied with Monte Carlo…

High Energy Physics - Phenomenology · Physics 2013-12-13 X. H. Mo

We consider a fractional counting process with jumps of amplitude $1,2,\ldots,k$, with $k\in \mathbb{N}$, whose probabilities satisfy a suitable system of fractional difference-differential equations. We obtain the moment generating…

Probability · Mathematics 2016-03-10 Antonio Di Crescenzo , Barbara Martinucci , Alessandra Meoli

It is our intention to provide via fractional calculus a generalization of the pure and compound Poisson processes, which are known to play a fundamental role in renewal theory, without and with reward, respectively. We first recall the…

Probability · Mathematics 2007-05-23 Francesco Mainardi , Rudolf Gorenflo , Enrico Scalas

We present a comprehensive study of the destruction of quantum multifractality in the presence of perturbations. We study diverse representative models displaying multifractality, including a pseudointegrable system, the Anderson model and…

Chaotic Dynamics · Physics 2015-10-01 R. Dubertrand , I. García-Mata , B. Georgeot , O. Giraud , G. Lemarié , J. Martin

Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

Methodology · Statistics 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

This note examines linear combinations of multi-indexed sequences and derives the multivariate generating function of such a linear combination in terms of the original sequence's m.g.f. Applications include finding distributions and…

Combinatorics · Mathematics 2012-09-18 Michael C. Burkhart

We report on the first results for the second-order perturbation theory correction to the ground-state energy of a nuclear many-body system in a continuum quantum Monte Carlo calculation. Second-order (and higher) perturbative corrections…

Nuclear Theory · Physics 2023-11-10 Ryan Curry , Joel E. Lynn , Kevin E. Schmidt , Alexandros Gezerlis

This study considers the Merton model with temporal correlation. We show the Merton model becomes Poisson process with the log-normal distributed intensity function in the limit. We discuss the relation between this model and Hawkes…

Risk Management · Quantitative Finance 2025-05-21 Masato Hisakado , Shintaro Mori

In this paper we consider a stochastic process that may experience random reset events which bring suddenly the system to the starting value and analyze the relevant statistical magnitudes. We focus our attention on monotonous…

Mathematical Physics · Physics 2013-01-21 Miquel Montero , Javier Villarroel

In this article, we primarily propose a novel Bayesian characterization of stationary and nonstationary stochastic processes. In practice, this theory aims to distinguish between global stationarity and nonstationarity for both parametric…

Statistics Theory · Mathematics 2020-05-04 Sucharita Roy , Sourabh Bhattacharya

We derive the general analytical expressions for the statistical uncertainties of cumulants up to fourth order including an efficiency correction. The analytical expressions have been tested with a toy Monte Carlo model analysis. An…

Nuclear Theory · Physics 2022-03-25 Fan Si , Yifei Zhang