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A wide class of ``counting'' problems have been studied in Computer Science. Three typical examples are the estimation of - (i) the permanent of an $n\times n$ 0-1 matrix, (ii) the partition function of certain $n-$ particle Statistical…

概率论 · 数学 2007-05-23 Ravi Kannan

The effective action of the linear meson model generates the mesonic n-point functions with all quantum effects included. Based on chiral symmetry and a systematic quark mass expansion we derive relations between meson masses and decay…

高能物理 - 唯象学 · 物理学 2011-09-13 D. -U. Jungnickel , C. Wetterich

Pathwise predictability of continuous time processes is studied in deterministic setting. We discuss uniform prediction in some weak sense with respect to certain classes of inputs. More precisely, we study possibility of approximation of…

最优化与控制 · 数学 2009-11-13 Nikolai Dokuchaev

One of the broadest concepts of measurement in quantum theory is the generalized measurement. Another paradigm of measurement--arising naturally in quantum optics, among other fields--is that of continuous-time measurements, which can be…

量子物理 · 物理学 2009-11-13 Martin Varbanov , Todd A. Brun

In this paper we extend the classical Glivenko-Cantelli theorem to real-valued empirical functions under dependence structures characterised by $\alpha$-mixing and $\beta$-mixing conditions. We investigate sufficient conditions ensuring…

统计理论 · 数学 2025-05-02 Ousmane Coulibaly , Harouna Sangaré

Mixture models have been around for over 150 years, as an intuitively simple and practical tool for enriching the collection of probability distributions available for modelling data. In this chapter we describe the basic ideas of the…

统计方法学 · 统计学 2018-05-08 Peter J. Green

The behavior of viscosity, $\eta$, as a function of concentration in dense fluids remains an unsolved problem, as is the case with other transport coefficients. Boltzmann's theory and the Chapman-Enskog method predict the value of the…

统计力学 · 物理学 2025-07-14 L. Marchioni , M. A. Di Muro , M. Hoyuelos

Characterizations of finite sequences $\beta_{1}<\cdots<\beta_{n}$ representing expected values of order statistics from a random sample of size $n$ are given. As a by-product, a characterization of binomial mixtures, when the mixing random…

概率论 · 数学 2022-05-02 A. Okolewski , N. Papadatos

This review article provides an overview of recent work in the modeling and analysis of recurrent events arising in engineering, reliability, public health, biomedicine and other areas. Recurrent event modeling possesses unique facets…

统计方法学 · 统计学 2007-08-03 Edsel A. Peña

Mixture models are one of the most widely used statistical tools when dealing with data from heterogeneous populations. This paper considers the long-standing debate over finite mixture and infinite mixtures and brings the two modelling…

统计方法学 · 统计学 2019-04-23 Raffaele Argiento , Maria De Iorio

The past two decades have seen a revolution in statistical physics, generalizing it to apply to systems of arbitrary size, evolving while arbitrarily far from equilibrium. Many of these new results are based on analyzing the dynamics of the…

统计力学 · 物理学 2022-08-08 David H. Wolpert

Kinetics of collision processes with linear mixing rules are investigated analytically. The velocity distribution becomes self-similar in the long time limit and the similarity functions have algebraic or stretched exponential tails. The…

统计力学 · 物理学 2007-05-23 Daniel ben-Avraham , Eli Ben-Naim , Katja Lindenberg , Alexandre Rosas

In this article we extend results from our previous work [Bendersky, de la Torre, Senno, Figueira and Ac\'in, Phys. Rev. Lett. 116, 230406 (2016)] by providing a protocol to distinguish in finite time and with arbitrarily high success…

The concept of biased data is well known and its practical applications range from social sciences and biology to economics and quality control. These observations arise when a sampling procedure chooses an observation with probability that…

统计理论 · 数学 2007-06-13 Sam Efromovich

Let $(X_t)_{t \geq 0}$ be a continuous time Markov process on some metric space $M,$ leaving invariant a closed subset $M_0 \subset M,$ called the {\em extinction set}. We give general conditions ensuring either "Stochastic persistence"…

概率论 · 数学 2023-10-26 Michel Benaim

We study general random dynamical systems of continuous maps on some compact metric space. Assuming a local contraction condition and uniqueness of the stationary measure, we establish probabilistic limit laws such as the central limit…

动力系统 · 数学 2023-11-21 Katrin Gelfert , Graccyela Salcedo

The $\eta^\prime$ transition form factor is reanalyzed in view of the recent BESIII first observation of the Dalitz decay $\eta^\prime\to\gamma e^+e^-$ in both space- and time-like regions at low and intermediate energies using the Pad\'e…

高能物理 - 唯象学 · 物理学 2016-09-28 Rafel Escribano , Sergi Gonzalez-Solis , Pere Masjuan , Pablo Sanchez-Puertas

We study correlation measures for complex systems. First, we investigate some recently proposed measures based on information geometry. We show that these measures can increase under local transformations as well as under discarding…

适应与自组织系统 · 物理学 2012-04-20 Tobias Galla , Otfried Gühne

This paper studies identifiability and convergence behaviors for parameters of multiple types in finite mixtures, and the effects of model fitting with extra mixing components. First, we present a general theory for strong identifiability,…

统计理论 · 数学 2015-01-13 Nhat Ho , XuanLong Nguyen

We derive rates of convergence for the mixing of operators under infinitely divisible measures in the framework of linear dynamics on Banach spaces. Our approach is based on the characterization of mixing in terms of codifference…

概率论 · 数学 2025-11-12 Camille Mau , Nicolas Privault
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