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A modified gamma kernel should not be automatically preferred to the standard gamma kernel, especially for univariate convex densities with a pole at the origin. In the multivariate case, multiple combined gamma kernels, defined as a…

We develop sampling methods, which consist of Gaussian invariant versions of random walk Metropolis (RWM), Metropolis adjusted Langevin algorithm (MALA) and second order Hessian or Manifold MALA. Unlike standard RWM and MALA we show that…

机器学习 · 统计学 2025-06-27 Michalis K. Titsias , Angelos Alexopoulos , Siran Liu , Petros Dellaportas

We establish some limit theorems for quasi-arithmetic means of random variables. This class of means contains the arithmetic, geometric and harmonic means. Our feature is that the generators of quasi-arithmetic means are allowed to be…

统计理论 · 数学 2022-05-09 Yuichi Akaoka , Kazuki Okamura , Yoshiki Otobe

Bi-factor and second-order models based on copulas are proposed for item response data, where the items can be split into non-overlapping groups such that there is a homogeneous dependence within each group. Our general models include the…

统计方法学 · 统计学 2021-02-23 Sayed H. Kadhem , Aristidis K. Nikoloulopoulos

Introducing inequality constraints in Gaussian process (GP) models can lead to more realistic uncertainties in learning a great variety of real-world problems. We consider the finite-dimensional Gaussian approach from Maatouk and Bay (2017)…

机器学习 · 统计学 2021-11-04 Andrés F. López-Lopera , François Bachoc , Nicolas Durrande , Olivier Roustant

In this paper we consider an extension of the beta regression model proposed by Ferrari and Cribari-Neto (2004). We extend their model in two different ways, first, we let the regression structure be nonlinear, second, we allow a regression…

统计方法学 · 统计学 2009-10-24 Alexandre B. Simas , Wagner Barreto-Souza , Andréa V. Rocha

This paper presents foundational theoretical results on distributed parameter estimation for undirected probabilistic graphical models. It introduces a general condition on composite likelihood decompositions of these models which…

机器学习 · 统计学 2014-06-13 Yariv Dror Mizrahi , Misha Denil , Nando de Freitas

The tail of a bivariate distribution function in the domain of attraction of a bivariate extreme-value distribution may be approximated by the one of its extreme-value attractor. The extreme-value attractor has margins that belong to a…

统计理论 · 数学 2012-05-14 Simon Guillotte , Francois Perron , Johan Segers

The G-Wishart distribution is an essential component for the Bayesian analysis of Gaussian graphical models as the conjugate prior for the precision matrix. Evaluating the marginal likelihood of such models usually requires computing…

统计方法学 · 统计学 2025-04-11 Ching Wong , Giusi Moffa , Jack Kuipers

This paper proposes a bivariate marginal likelihood specification of spatial econometrics models that simplifies the derivation of the log-likelihood and leads to a closed form expression for the estimation of the parameters. With respect…

统计方法学 · 统计学 2013-01-07 Giuseppe Arbia

In many instances, the application of approximate Bayesian methods is hampered by two practical features: 1) the requirement to project the data down to low-dimensional summary, including the choice of this projection, which ultimately…

统计方法学 · 统计学 2020-06-26 David T. Frazier

In this paper, we introduce a new bivariate distribution we called it bivariate expo- nentiated modified Weibull extension distribution (BEMWE). The model introduced here is of Marshall-Olkin type. The marginals of the new bivariate…

统计理论 · 数学 2015-01-16 A. El-Gohary , M. El-Morshedy

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

统计方法学 · 统计学 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox

In this paper, we propose a method based on GMM (the generalized method of moments) to estimate the parameters of stable distributions with $0<\alpha<2$. We don't assume symmetry for stable distributions.

统计理论 · 数学 2007-06-13 Chunlin Wang

This paper proposed a new probability distribution named as inverse xgamma distribution (IXGD). Different mathematical and statistical properties,viz., reliability characteristics, moments, inverse moments, stochastic ordering and order…

统计方法学 · 统计学 2018-07-04 Abhimanyu Singh Yadav , Sudhansu S. Maiti , Mahendra Saha , Arvind Pandey

This paper proposes a family of weighted batch means variance estimators, which are computationally efficient and can be conveniently applied in practice. The focus is on Markov chain Monte Carlo simulations and estimation of the asymptotic…

统计理论 · 数学 2018-05-23 Ying Liu , James M. Flegal

A novel approach to adding two additional parameters to a family of distributions for better adaptability has been put forth. This approach yields a versatile class of distributions supported on the positive real line. We proceed to analyze…

统计方法学 · 统计学 2025-08-19 Subhankar Dutta , Roberto Vila , Terezinha K. A. Ribeiro

We develop new representations for the Levy measures of the beta and gamma processes. These representations are manifested in terms of an infinite sum of well-behaved (proper) beta and gamma distributions. Further, we demonstrate how these…

统计方法学 · 统计学 2012-06-22 Yingjian Wang , Lawrence Carin

We propose a new class of estimators of the multivariate response linear regression coefficient matrix that exploits the assumption that the response and predictors have a joint multivariate Normal distribution. This allows us to indirectly…

统计方法学 · 统计学 2015-07-17 Aaron J. Molstad , Adam J. Rothman

In this paper we develop a very general class of bivariate discrete distributions. The basic idea is very simple. The marginals are obtained by taking the random geometric sum of a baseline distribution function. The proposed class of…

统计方法学 · 统计学 2018-05-22 Debasis Kundu