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The "marginal" distributions for measurable coordinate and spin projection is introduced. Then, the analog of the Pauli equation for spin-1/2 particle is obtained for such probability distributions instead of the usual wave functions. That…

Quantum Physics · Physics 2009-11-06 S. Mancini , O. V. Man'ko , V. I. Man'ko , P. Tombesi

An interesting line of research is the investigation of the laws of random variables known as Dirichlet means. However, there is not much information on interrelationships between different Dirichlet means. Here, we introduce two…

Statistics Theory · Mathematics 2010-10-11 Lancelot F. James

The large amount of information contained in bibliographic databases has recently boosted the use of citations, and other indicators based on citation numbers, as tools for the quantitative assessment of scientific research. Citations…

Physics and Society · Physics 2012-04-02 Filippo Radicchi , Claudio Castellano

The quantum statistical parton distributions approach proposed more than one decade ago is revisited by considering a larger set of recent and accurate Deep Inelastic Scattering experimental results. It enables us to improve the description…

High Energy Physics - Phenomenology · Physics 2015-10-22 Jacques Soffer , Claude Bourrely

We study the properties of marginal distributions-projections of the phase space representation of a physical system-under relativistic transforms. We consider the Galileo case as well as the Lorentz transforms exploiting the relativistic…

Quantum Physics · Physics 2009-10-31 Stefano Mancini , Paolo Tombesi , Vladimir I. Man'ko

The advent of various wireless technologies have revolutionized the communication infrastructure and consequently changed the entire world into a global village. Use of wireless technology has also been made for transmission of electric…

Networking and Internet Architecture · Computer Science 2013-11-22 A. Mahmood , H. Fakhar , S. H. Ahmed , N. Javaid

The experimental evaluation of the methods and concepts covered in software engineering has been increasingly valued. This value indicates the constant search for new forms of assessment and validation of the results obtained in Software…

Software Engineering · Computer Science 2020-06-30 T. F. M. Sirqueira , M. A. Miguel , H. L. O. Dalpra , M. A. P. Araujo , J. M. N. David

Two data-dependent information metrics are developed to quantify the information of the prior and likelihood functions within a parametric Bayesian model, one of which is closely related to the reference priors from Berger, Bernardo, and…

Machine Learning · Statistics 2017-09-08 Giri Gopalan

A class of conserved models of wealth distributions are studied where wealth (or money) is assumed to be exchanged between a pair of agents in a population like the elastically colliding molecules of a gas exchanging energy. All sorts of…

Physics and Society · Physics 2008-12-02 Abhijit Kar Gupta

In this paper we introduce a new probability distribution on (0,1), associated with the I-function, namely, the I-function distribution. This distribution generalizes several known distributions with positive support. It is also shown that…

Probability · Mathematics 2015-03-09 P. Vellaisamy , K. K. Kataria

Many social, technological and biological interactions involve network relationships whose outcome intimately depends on the structure of the network and on the strengths of the connections. Yet, although much information is now available…

Statistical Mechanics · Physics 2009-11-10 Guido Caldarelli , Fabrizio Coccetti , Paolo De Los Rios

This text presents an unified approach of probability and statistics in the pursuit of understanding and computation of randomness in engineering or physical or social system with prediction with generalizability. Starting from elementary…

History and Overview · Mathematics 2024-01-19 Lakshman Mahto

Multiparticle production processes provide valuable information about the mechanism of the conversion of the initial energy of projectiles into a number of secondaries by measuring their multiplicity distributions and their distributions in…

High Energy Physics - Phenomenology · Physics 2018-04-12 Grzegorz Wilk , Zbigniew Włodarczyk

In this paper we propose a family of multivariate asymmetric distributions over an arbitrary subset of set of real numbers which is defined in terms of the well-known elliptically symmetric distributions. We explore essential properties,…

Methodology · Statistics 2024-09-02 Roberto Vila , Helton Saulo , Leonardo Santos , João Monteiros , Felipe Quintino

Several distributions and families of distributions are proposed to model skewed data, think, e.g., of skew-normal and related distributions. Lambert W random variables offer an alternative approach where, instead of constructing a new…

Methodology · Statistics 2023-10-17 Meelis Käärik , Anne Selart , Tuuli Puhkim , Liivika Tee

Random variables of the generalized Pareto distribution, can be transformed to that of the Pareto distribution. Explicit expressions exist for the maximum likelihood estimators of the parameters of the Pareto distribution. The performance…

Computational Finance · Quantitative Finance 2018-11-06 J. Martin van Zyl

In this paper, the quantile based flattened logistic distribution introduced by Gilchrist has been studied. Some classical and quantile based properties of the distribution have been obtained. Closed form expression of L-moments and…

Methodology · Statistics 2016-12-19 Dreamlee Sharma

Since its origin in the thermodynamics of the 19th century, the concept of entropy has also permeated other fields of physics and mathematics, such as Classical and Quantum Statistical Mechanics, Information Theory, Probability Theory,…

Machine Learning · Statistics 2025-03-06 Salomé A. Sepúveda Fontaine , José M. Amigó

A new unimodal distribution family indexed by the mode and three other parameters is derived from a mixture of a Gumbel distribution for the maximum and a Gumbel distribution for the minimum. Properties of the proposed distribution are…

Methodology · Statistics 2024-07-02 Qingyang Liu , Xianzheng Huang , Haiming Zhou

The study of the singularities and zeros of the generating functions of multiplicity distributions is advocated. Some hints from well known probability distributions and experimental data are given. The statistical mechanics analogies…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. M. Dremin