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Contextual situations are those in which seemingly "the same" random variable changes its identity depending on the conditions under which it is recorded. Such a change of identity is observed whenever the assumption that the variable is…

量子物理 · 物理学 2015-06-19 Ehtibar N. Dzhafarov , Janne V. Kujala

The distribution of the correlation dimension in a power law band random matrix model having critical, i.e. multifractal, eigenstates is numerically investigated. It is shown that their probability distribution function has a fixed point as…

无序系统与神经网络 · 物理学 2009-11-07 I. Varga

We consider a family of determinantal random point processes on the two-dimensional lattice and prove that members of our family can be interpreted as a kind of Gibbs ensembles of nonintersecting paths. Examples include probability measures…

数学物理 · 物理学 2015-05-13 Alexei Borodin , Senya Shlosman

Probabilistic programming languages allow programmers to write down conditional probability distributions that represent statistical and machine learning models as programs that use observe statements. These programs are run by accumulating…

编程语言 · 计算机科学 2021-01-25 Jules Jacobs

Measures of association in contingency tables, such as odds ratios and their generalizations, are often studied under different sampling schemes that either fix or leave random the margins of the table. While classical results show that…

A statistical framework is presented for the study of the orthogonally polarized modes of radio pulsar emission via the covariances between the Stokes parameters. To accommodate the typically heavy-tailed distributions of single-pulse radio…

天体物理仪器与方法 · 物理学 2017-02-07 Willem van Straten , Caterina Tiburzi

We derive an efficient stochastic algorithm for inverse problems that present an unknown linear forcing term and a set of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of the problem is…

数值分析 · 数学 2019-09-17 Darko Volkov

In this paper, we study staircase tableaux, a combinatorial object introduced due to its connections with the asymmetric exclusion process (ASEP) and Askey-Wilson polynomials. Due to their interesting connections, staircase tableaux have…

组合数学 · 数学 2015-09-21 Pawel Hitczenko , Amanda Lohss

Given a periodic point $\omega$ in a $\psi$-mixing shift with countable alphabet, the sequence $\{S_{n}\}$ of random variables counting the number of multiple returns to shrinking cylindrical neighborhoods of $\omega$ is considered.…

概率论 · 数学 2017-03-31 Ariel Rapaport

In many applications involving binary variables, only pairwise dependence measures, such as correlations, are available. However, for multi-way tables involving more than two variables, these quantities do not uniquely determine the joint…

统计方法学 · 统计学 2026-01-13 Roberto Fontana , Elisa Perrone , Fabio Rapallo

This paper introduces a simple formalism for dealing with deterministic, non- deterministic and stochastic cellular automata in an unified and composable manner. This formalism allows for local probabilistic correlations, a feature which is…

离散数学 · 计算机科学 2013-05-20 Pablo Arrighi , Nicolas Schabanel , Guillaume Theyssier

In the process of building (structural learning) a probabilistic graphical model from a set of observed data, the directional, cyclic dependencies between the random variables of the model are often found. Existing graphical models such as…

机器学习 · 计算机科学 2023-10-26 Oleksii Sirotkin

This paper studies synchronization in coupled nonlinear dynamic networks with unknown parameters. Adaptation can be added to one or several elements in the network, while preserving the global synchronization conditions derived in…

适应与自组织系统 · 物理学 2007-05-23 Wei Wang , Jean-Jacques E. Slotine

In this article, we propose a new three parameter distribution by compounding negative binomial with reciprocal inverse Gaussian model called negative binomial-reciprocal inverse Gaussian distribution. This model is tractable with some…

统计方法学 · 统计学 2019-06-10 Ishfaq Shah Ahmad , Anwar Hassan , Peer Bilal Ahmad

The sum of $n$ {non-independent} Bernoulli random variables could be modeled in several different ways. One of these is the Multiplicative Binomial Distribution (MBD), introduced by Altham (1978) and revised by Lovison (1998). In this work,…

统计理论 · 数学 2018-02-26 Francesca Fortunato

We generalize a recent model-independent form factor parameterization derived from rigorous dispersion relations to include constraints from data in the timelike region. These constraints dictate the convergence properties of the…

高能物理 - 唯象学 · 物理学 2014-11-17 W. W. Buck , Richard F. Lebed

Linear causal models are important tools for modeling causal dependencies and yet in practice, only a subset of the variables can be observed. In this paper, we examine the parameter identifiability of these models by investigating whether…

机器学习 · 计算机科学 2025-02-11 Xinshuai Dong , Ignavier Ng , Biwei Huang , Yuewen Sun , Songyao Jin , Roberto Legaspi , Peter Spirtes , Kun Zhang

In the analysis of count data often the equidispersion assumption is not suitable, hence the Poisson regression model is inappropriate. As a generalization of the Poisson distribution, the COM-Poisson distribution can deal with under-,…

Let X be a Poisson point process of intensity lambda on the real line. A thickening of it is a (deterministic) measurable function f such that the union of X and f(X) is a Poisson point process of intensity lambda' where lambda'>lambda. An…

概率论 · 数学 2017-03-14 Ori Gurel-Gurevich , Ron Peled

Building on recent developments in models focused on the shape properties of odds ratios, this paper introduces two new models that expand the class of available distributions while preserving specific shape characteristics of an underlying…

统计理论 · 数学 2025-03-11 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira
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