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Relying on the polynomiality property of generalized parton distributions, which roots on Lorentz covariance, we prove that it is enough to know them at vanishing- and low-skewness within the DGLAP region to obtain a unique extension to…

高能物理 - 唯象学 · 物理学 2024-03-26 P. Dall'Olio , F. De Soto , C. Mezrag , J. M. Morgado Chávez , H. Moutarde , J. Rodríguez-Quintero , P. Sznajder , J. Segovia

The probability distribution function for thermodynamics and econophysics is obtained by solving an equilibrium equation. This approach is different from the common one of optimizing the entropy of the system or obtaining the state of…

综合物理 · 物理学 2007-05-23 Diego Saa

The EM-algorithm is a general procedure to get maximum likelihood estimates if part of the observations on the variables of a network are missing. In this paper a stochastic version of the algorithm is adapted to probabilistic neural…

人工智能 · 计算机科学 2013-03-26 Gerhard Paass

This paper investigates Gaussian copula mixture models (GCMM), which are an extension of Gaussian mixture models (GMM) that incorporate copula concepts. The paper presents the mathematical definition of GCMM and explores the properties of…

机器学习 · 计算机科学 2023-05-25 Ke Wan , Alain Kornhauser

In this letter, we present a novel Gaussian Process Learning-based Probabilistic Optimal Power Flow (GP-POPF) for solving POPF under renewable and load uncertainties of arbitrary distribution. The proposed method relies on a non-parametric…

系统与控制 · 电气工程与系统科学 2020-04-17 Parikshit Pareek , Hung D. Nguyen

We introduce the beta generalized normal distribution which is obtained by compounding the beta and generalized normal [Nadarajah, S., A generalized normal distribution, \emph{Journal of Applied Statistics}. 32, 685--694, 2005]…

统计理论 · 数学 2022-06-06 R. J. Cintra , L. C. Rêgo , G. M. Cordeiro , A. D. C. Nascimento

Systems with a long-term stationary state that possess as a spatio-temporally fluctuation quantity $\beta$ can be described by a superposition of several statistics, a "super statistics". We consider first, the Gamma, log-normal and…

统计力学 · 物理学 2015-06-05 O. Obregón , A. Gil-Villegas

The power law distribution is usually used to fit data in the upper tail of the distribution. However, commonly it is not valid to model data in all the range. In this paper, we present a new family of distributions, the so-called…

适应与自组织系统 · 物理学 2016-09-21 Faustino Prieto , José María Sarabia

Generation of molecules with desired chemical and biological properties such as high drug-likeness, high binding affinity to target proteins, is critical for drug discovery. In this paper, we propose a probabilistic generative model to…

生物大分子 · 定量生物学 2023-07-12 Deqian Kong , Bo Pang , Tian Han , Ying Nian Wu

We study a random graph $G_n$, which combines aspects of geometric random graphs and preferential attachment. The resulting random graphs have power-law degree sequences with finite mean and possibly infinite variance. In particular, the…

组合数学 · 数学 2008-01-11 H. van den Esker

The foundations of the Boltzmann-Gibbs (BG) distributions for describing equilibrium statistical mechanics of systems are examined. Broadly, they fall into: (i) probabilistic paaroaches based on the principle of equal a priori probability…

统计力学 · 物理学 2009-11-10 A. K. Rajagopal , Sumiyoshi Abe

A simple lattice gas model in one dimension is constructed in which each site can be occupied by at most one particle of any one of $D$ species. Particles interact with a randomly drawn nearest neighbor interaction. This model is capable of…

高能物理 - 唯象学 · 物理学 2007-05-23 A. D. Jackson , T. Wettig , N. L. Balazs

The ensemble average of physical properties of molecules is closely related to the distribution of molecular conformations, and sampling such distributions is a fundamental challenge in physics and chemistry. Traditional methods like…

机器学习 · 计算机科学 2025-08-06 Liya Guo , Zun Wang , Chang Liu , Junzhe Li , Pipi Hu , Yi Zhu

Random geometric graphs (RGGs) are commonly used to model networked systems that depend on the underlying spatial embedding. We concern ourselves with the probability distribution of an RGG, which is crucial for studying its random…

信息论 · 计算机科学 2018-01-16 Mihai-Alin Badiu , Justin P. Coon

The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called the power Lindley distribution, has been introduced by M. E.…

统计理论 · 数学 2019-07-02 Mohammed Khalleefah , Sofiya Ostrovska , Mehmet Turan

Study of charged particle multiplicity distribution in high energy interactions of particles helps in revealing the dynamics of particle production and the underlying statistical patterns, which these distributions follow. Several…

高能物理 - 唯象学 · 物理学 2020-01-30 R. Aggarwal , M. Kaur

Another new family of continuous probability distribution is proposed by using Generalized Marshal-Olkin distribution as the base line distribution in the Kumaraswamy-G distribution. This family includes (Cordeiro and de Castro, 2011) and…

统计理论 · 数学 2016-09-16 Laba Handique , Subrata Chakraborty

Gibbsian statistical mechanics is extended into the domain of non-negligible {though non-specified} correlations in phase space while respecting the fundamental laws of thermodynamics. The appropriate Gibbsian probability distribution is…

统计力学 · 物理学 2014-06-26 R. A. Treumann , W. Baumjohann

The Expectation-Maximization (EM) algorithm is one of the most popular methods used to solve the problem of parametric distribution-based clustering in unsupervised learning. In this paper, we propose to analyze a generalized EM (GEM)…

最优化与控制 · 数学 2021-05-19 Sarthak Chatterjee , Orlando Romero , Sérgio Pequito

In this article, a generalized inverse xgamma distribution (GIXGD) has been introduced as the generalized version of the inverse xgamma distribution. The proposed model exhibits the pattern of non-monotone hazard rate and belongs to family…

统计方法学 · 统计学 2018-12-13 Harsh Tripathi , Abhimanyu Singh Yadav , Mahendra Saha , Sumit Kumar