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We briefly review statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the agents…

Statistical Finance · Quantitative Finance 2011-03-14 Victor M. Yakovenko

A new distribution is introduced, which we call the twin-t distribution. This distribution is heavy-tailed like the t distribution, but closer to normality in the central part of the curve. Its properties are described, e.g. the pdf, the…

Methodology · Statistics 2014-08-15 Rose Baker , Dan Jackson

The 'pretzelosity' distribution is discussed. Theoretical properties, model results, and perspectives to access experimental information on this leading twist, transverse momentum dependent parton distribution function are reviewed. Its…

High Energy Physics - Phenomenology · Physics 2017-08-23 H. Avakian , A. V. Efremov , P. Schweitzer , F. Yuan

Pareto distributions, and power laws in general, have demonstrated to be very useful models to describe very different phenomena, from physics to finance. In recent years, the econophysical literature has proposed a large amount of papers…

Methodology · Statistics 2015-06-16 Pasquale Cirillo

In this paper we present a flexible bivariate distribution specified by a quantile function. The distribution contains as special cases new bivariate exponential, Pareto I, Pareto II, beta, power, log logistic and uniform distributions and…

Other Statistics · Statistics 2025-03-17 Shifna P R , N. Unnikrishnan Nair , S. M. Sunoj

In this paper, a generalization for the Birnbaum Saunders distribution, which has been applied to the modelling of fatigue failure times and reliability studies, is considered. The maximum likelihood estimators and statistical inference for…

Statistics Theory · Mathematics 2021-09-06 Beenu Thomas , Chacko V M

The paper advocates the use of a statistical tool dedicated to the exploration of data samples populated by several sources of events. This new technique, called sPlot, is able to unfold the contributions of the different sources to the…

Data Analysis, Statistics and Probability · Physics 2008-11-26 Muriel Pivk , Francois R. Le Diberder

First-order statistics of scattered light is described using the representation of probability density cloud which visualizes a two-dimensional distribution for complex amplitude. The geometric parameters of the cloud are studied in detail…

Instrumentation and Methods for Astrophysics · Physics 2017-08-02 Natalia Yaitskova

Instead of testing for unanimous agreement, I propose learning how broad of a consensus favors one distribution over another (of earnings, productivity, asset returns, test scores, etc.). Specifically, given a sample from each of two…

Econometrics · Economics 2024-08-27 David M. Kaplan

Since its introduction, the skew-$t$ distribution has received much attention in the literature both for the study of theoretical properties and as a model for data fitting in empirical work. A major motivation for this interest is the high…

Computation · Statistics 2019-07-25 Adelchi Azzalini , Mahdi Salehi

It is often necessary to compare the power spectra of two or more time series: one may, for instance, wish to estimate what the power spectrum of the combined data sets might have been, or one may wish to estimate the significance of a…

Astrophysics · Physics 2007-05-23 P. A. Sturrock , M. S. Wheatland

A new characterization for power function distributions is obtained which is based on products of order statistics. This result may be considered as a generalization of some recent results for contractions. We note that in this new result…

Statistics Theory · Mathematics 2012-10-30 Güvenç Arslan

In order to improve the already existing models that are used extensively in bio sciences and applied sciences research, a new class of Weighted Power function distribution (WPFD) has been proposed with its various properties and different…

Other Statistics · Statistics 2020-08-03 Azam Zaka , Ahmad Saeed Akhter , Riffat Jabeen

Meta distributions (MDs) are refined performance metrics in wireless networks modeled using point processes. While there is no known method to directly calculate MDs, the moments of the underlying conditional distributions (given the point…

Information Theory · Computer Science 2018-05-01 Martin Haenggi

Machine learning models are often deployed in different settings than they were trained and validated on, posing a challenge to practitioners who wish to predict how well the deployed model will perform on a target distribution. If an…

Machine Learning · Computer Science 2022-04-12 Mayee Chen , Karan Goel , Nimit S. Sohoni , Fait Poms , Kayvon Fatahalian , Christopher Ré

Transmuted geometric distribution with two parameters and is proposed as a new generalization of the geometric distribution by employing the quadratic transmutation techniques of Shaw and Buckley (2007). Its important distributional and…

Statistics Theory · Mathematics 2015-02-17 Subrata Chakraborty

The advent of data science has spurred interest in estimating properties of distributions over large alphabets. Fundamental symmetric properties such as support size, support coverage, entropy, and proximity to uniformity, received most…

Information Theory · Computer Science 2016-11-29 Jayadev Acharya , Hirakendu Das , Alon Orlitsky , Ananda Theertha Suresh

Bayesian approaches to data analysis and machine learning are widespread and popular as they provide intuitive yet rigorous axioms for learning from data; see Bernardo and Smith (2004) and Bishop (2006). However, this rigour comes with a…

Methodology · Statistics 2017-01-31 Chris Holmes , Stephen Walker

The Dirichlet distribution, also known as multivariate beta, is the most used to analyse frequencies or proportions data. Maximum likelihood is widespread for estimation of Dirichlet's parameters. However, for small sample sizes, the…

Methodology · Statistics 2021-03-04 Vincenzo Gioia , Euloge Clovis Kenne Pagui

In this paper we propose a new lifetime model, called the odd generalized exponential linear failure rate distribution. Some statistical properties of the proposed distribution such as the moments, the quantiles, the median, and the mode…

Statistics Theory · Mathematics 2015-10-28 M. A. El-Damcese , Abdelfattah Mustafa , B. S. El-Desouky , M. E. Mustafa
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