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The distribution functions of the matricvariate beta type I and II distributions are studied under real normed division algebras. The unified approach for real, complex, quaternions and octonions, also considers general properties and…

统计理论 · 数学 2024-09-27 José A. Díaz-García , Francisco J. Caro-Lopera

Motivated by the need, in some Bayesian likelihood free inference problems, of imputing a multivariate counting distribution based on its vector of means and variance-covariance matrix, we define a generic multivariate discrete…

应用统计 · 统计学 2011-03-28 Marcos Capistrán , J. Andrés Christen

This paper introduces the modeling of circular data with excess zeros under a longitudinal framework, where the response is a circular variable and the covariates can be both linear and circular in nature. In the literature, various…

统计方法学 · 统计学 2026-01-21 Prajamitra Bhuyan , Soutik Halder , Jayant Jha

This paper proposes a computationally efficient Bayesian factor model for multiple grouped count data. Adopting the link function approach, the proposed model can capture the association within and between the at-risk probabilities and…

统计方法学 · 统计学 2024-05-13 Genya Kobayashi , Yuta Yamauchi

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

统计计算 · 统计学 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan

Within the framework of probability models for overdispersed count data, we propose the generalized fractional Poisson distribution (gfPd), which is a natural generalization of the fractional Poisson distribution (fPd), and the standard…

概率论 · 数学 2021-01-12 Dexter Cahoy , Elvira Di Nardo , Federico Polito

Gaussian factor models have proven widely useful for parsimoniously characterizing dependence in multivariate data. There is a rich literature on their extension to mixed categorical and continuous variables, using latent Gaussian variables…

统计方法学 · 统计学 2013-01-14 Jared S. Murray , David B. Dunson , Lawrence Carin , Joseph E. Lucas

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

机器学习 · 计算机科学 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

The analysis of data sets arising from multiple sensors has drawn significant research attention over the years. Traditional methods, including kernel-based methods, are typically incapable of capturing nonlinear geometric structures. We…

数据分析、统计与概率 · 物理学 2017-08-04 Ronen Talmon , Hau-tieng Wu

Bayesian hierarchical models are used to share information between related samples and obtain more accurate estimates of sample-level parameters, common structure, and variation between samples. When the parameter of interest is the…

统计方法学 · 统计学 2019-06-18 Jonathan Christensen , Li Ma

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

人工智能 · 计算机科学 2012-06-18 Ydo Wexler , Christopher Meek

The bivariate Gaussian distribution has been a key model for many developments in statistics. However, many real-world phenomena generate data that follow asymmetric distributions, and consequently bivariate normal model is inappropriate in…

统计方法学 · 统计学 2022-12-08 Roberto Vila , Narayanaswamy Balakrishnan , Helton Saulo , Ana Protazio

We develop a model-based boosting approach for multivariate distributional regression within the framework of generalized additive models for location, scale, and shape. Our approach enables the simultaneous modeling of all distribution…

统计方法学 · 统计学 2022-07-19 Annika Strömer , Nadja Klein , Christian Staerk , Hannah Klinkhammer , Andreas Mayr

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

统计方法学 · 统计学 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

Applied researchers often find themselves making statistical inferences in settings that would seem to require multiple comparisons adjustments. We challenge the Type I error paradigm that underlies these corrections. Moreover we posit that…

应用统计 · 统计学 2009-07-16 Andrew Gelman , Jennifer Hill , Masanao Yajima

Handball has received growing interest during the last years, including academic research for many different aspects of the sport. On the other hand modelling the outcome of the game has attracted less interest mainly because of the…

统计方法学 · 统计学 2024-04-08 Dimitris Karlis , Rouven Michels , Marius Otting

Many testing problems are readily amenable to randomised tests such as those employing data splitting. However despite their usefulness in principle, randomised tests have obvious drawbacks. Firstly, two analyses of the same dataset may…

统计方法学 · 统计学 2024-09-05 F. Richard Guo , Rajen D. Shah

This paper proposes a unified approach to enable the study of diverse distributions in the real, complex, quaternion and octonion cases, simultaneously. In particular, the central, nonsingular matricvariate and matrix multivariate Pearson…

统计理论 · 数学 2010-11-24 Jose A. Diaz-Garcia , Ramon Gutierrez-Jaimez

One way of defining probability distributions for circular variables (directions in two dimensions) is to radially project probability distributions, originally defined on $\mathbb{R}^2$, to the unit circle. Projected distributions have…

统计方法学 · 统计学 2020-11-06 Luis Nieto-Barajas , Gabriel Nuñez-Antonio

The univariate distorted distribution were introduced in risk theory to represent changes (distortions) in the expected distributions of some risks. Later they were also applied to represent distributions of order statistics, coherent…

统计理论 · 数学 2020-10-28 Jorge Navarro , Camilla Calì , Maria Longobardi , Fabrizio Durante