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Normalisation in probability theory turns a subdistribution into a proper distribution. It is a partial operation, since it is undefined for the zero subdistribution. This partiality makes it hard to reason equationally about normalisation.…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Bart Jacobs

Estimating probability distributions which describe where an object is likely to be from camera data is a task with many applications. In this work we describe properties which we argue such methods should conform to. We also design a…

计算机视觉与模式识别 · 计算机科学 2023-03-10 David Mohlin , Josephine Sullivan

Three-way data can be conveniently modelled by using matrix variate distributions. Although there has been a lot of work for the matrix variate normal distribution, there is little work in the area of matrix skew distributions. Three matrix…

统计方法学 · 统计学 2018-08-15 Michael P. B. Gallaugher , Paul D. McNicholas

A finite point process is characterized by the distribution of the number of points (the size) of the process. In some applications, for example, in the context of packet flows in modern communication networks, it is of interest to infer…

统计理论 · 数学 2016-02-03 Ritwik Chaudhuri , Vladas Pipiras

In this paper three new characterizing theorems of exponential distribution are presented. They are based on equidistribution of some functions of order statistics. All of them include the median of sample of size three.

概率论 · 数学 2015-12-31 Marko Obradović

Models for learning probability distributions such as generative models and density estimators behave quite differently from models for learning functions. One example is found in the memorization phenomenon, namely the ultimate convergence…

机器学习 · 统计学 2021-03-03 Hongkang Yang , Weinan E

We study the factorised steady state of a general class of mass transport models in which mass, a conserved quantity, is transferred stochastically between sites. Condensation in such models is exhibited when above a critical mass density…

统计力学 · 物理学 2008-09-25 Martin R. Evans , Satya N. Majumdar

A novel over-dispersed discrete distribution, namely the PoiTG distribution is derived by the convolution of a Poisson variate and an independently distributed transmuted geometric random variable. This distribution generalizes the…

统计理论 · 数学 2024-08-02 Anupama Nandi , Subrata Chakraborty , Aniket Biswas

We apply extensive Monte Carlo simulations to study the probability distribution $P(m)$ of the order parameter $m$ for the simple cubic Ising model with periodic boundary condition at the transition point. Sampling is performed with the…

计算物理 · 物理学 2020-03-18 Jiahao Xu , Alan M. Ferrenberg , David P. Landau

We study the probability distribution P(M) of the order parameter (average magnetization) M, for the finite-size systems at the critical point. The systems under consideration are the 3-dimensional Ising model on a simple cubic lattice, and…

统计力学 · 物理学 2009-10-31 M. M. Tsypin , H. W. J. Blöte

A partially linear probit model for spatially dependent data is considered. A triangular array setting is used to cover various patterns of spatial data. Conditional spatial heteroscedasticity and non-identically distributed observations…

统计方法学 · 统计学 2018-03-13 Ahmed , Dabo

The study of the dynamics of the size of a population via mathematical modelling is a problem of interest and widely studied. Traditionally, continuous deterministic methods based on differential equations have been used to deal with this…

概率论 · 数学 2020-01-08 J. -C. Cortés , A. Navarro-Quiles , J. -V. Romero , M. -D. Roselló

In this paper, we proposed a new lifetime distribution namely generalized weighted Lindley (GLW) distribution. The GLW distribution is a useful generalization of the weighted Lindley distribution, which accommodates increasing, decreasing,…

统计理论 · 数学 2016-07-20 P. L. Ramos , F. Louzada

The paper considers probability distribution, density, conditional distribution and density and conditional moments as well as their kernel estimators in spaces of generalized functions. This approach does not require restrictions on…

统计理论 · 数学 2013-03-07 Victoria Zinde-Walsh

Several probability distributions have been proposed in the literature, especially with the aim of obtaining models that are more flexible relative to the behaviors of the density and hazard rate functions. Recently, a new generalization of…

统计计算 · 统计学 2016-04-26 K. V. P. Barco , J. Mazucheli , V. Janeiro

A discrete version of the Gumbel (Type I) extreme value distribution has been derived by using the general approach of discretization of a continuous distribution. Important distributional and reliability properties have been explored. It…

统计理论 · 数学 2014-10-29 Subrata Chakraborty , Dhrubajyoti Chakravarty

This brief paper develops a probability density that models processes for which the physical mechanism is unknown. It has desirable properties which are not realized by densities derived from Gaussian process or other classic methods. In…

综合物理 · 物理学 2011-04-21 Steven C. Gustafson , Adam C. Hillier

Flexible distributions for modelling angular data have received considerable attention in recent years, with ongoing work extending existing circular models to provide greater flexibility in capturing diverse angular behaviours. In this…

统计方法学 · 统计学 2026-03-18 Johan Ferreira , Delene van Wyk-de Ridder , Janet van Niekerk

In this paper, we introduce a bivariate exponentaited generalized Weibull-Gompertz distribution. The model introduced here is of Marshall-Olkin type. Several properties are studied such as bivariate probability density function and it is…

统计理论 · 数学 2015-01-19 M. A. EL-Damcese , Abdelfattah Mustafa , M. S. Eliwa

The beta distribution is the best-known distribution for modelling doubly-bounded data, \eg percentage data or probabilities. A new generalization of the beta distribution is proposed, which uses a cubic transformation of the beta random…

统计方法学 · 统计学 2016-12-19 Rose Baker