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Multivariate scale mixtures of skew-normal (SMSN) variables are flexible models that account for non-normality in multivariate data scenarios by tail weight assessment and a shape vector representing the asymmetry of the model in a…

统计方法学 · 统计学 2018-06-22 Jorge M. Arevalillo , Hilario Navarro

We study the parameter estimation method for linear regression models with possibly skewed stable distributed errors. Our estimation procedure consists of two stages: first, for the regression coefficients, the Cauchy quasi-maximum…

统计理论 · 数学 2025-06-25 Eitaro Kawamo , Hiroki Masuda

Mixtures of von Mises-Fisher distributions can be used to cluster data on the unit hypersphere. This is particularly adapted for high-dimensional directional data such as texts. We propose in this article to estimate a von Mises mixture…

机器学习 · 计算机科学 2023-01-02 Fabrice Rossi , Florian Barbaro

Spatial generalized linear mixed models (SGLMMs) are popular and flexible models for non-Gaussian spatial data. They are useful for spatial interpolations as well as for fitting regression models that account for spatial dependence, and are…

统计方法学 · 统计学 2021-10-26 Yawen Guan , Murali Haran

The skew-normal and the skew-$t$ distributions are parametric families which are currently under intense investigation since they provide a more flexible formulation compared to the classical normal and $t$ distributions by introducing a…

统计方法学 · 统计学 2012-03-13 Adelchi Azzalini , Reinaldo B. Arellano-Valle

The mixture of Gaussian distributions, a soft version of k-means , is considered a state-of-the-art clustering algorithm. It is widely used in computer vision for selecting classes, e.g., color, texture, and shapes. In this algorithm, each…

机器学习 · 统计学 2016-12-30 Mahajabin Rahman , Davi Geiger

We investigate a clustering problem with data from a mixture of Gaussians that share a common but unknown, and potentially ill-conditioned, covariance matrix. We start by considering Gaussian mixtures with two equally-sized components and…

机器学习 · 统计学 2021-11-30 Damek Davis , Mateo Díaz , Kaizheng Wang

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

This paper outlines a Bayesian approach to estimate finite mixtures of Tobit models. The method consists of an MCMC approach that combines Gibbs sampling with data augmentation and is simple to implement. I show through simulations that the…

计量经济学 · 经济学 2024-11-18 Caio Waisman

Advances in information technology have led to extremely large datasets that are often kept in different storage centers. Existing statistical methods must be adapted to overcome the resulting computational obstacles while retaining…

统计方法学 · 统计学 2021-11-12 Qiong Zhang , Jiahua Chen

We develop a general method for estimating a finite mixture of non-normalized models. Here, a non-normalized model is defined to be a parametric distribution with an intractable normalization constant. Existing methods for estimating…

机器学习 · 统计学 2021-09-01 Takeru Matsuda , Aapo Hyvarinen

We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

统计方法学 · 统计学 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

A novel family of twelve mixture models with random covariates, nested in the linear $t$ cluster-weighted model (CWM), is introduced for model-based clustering. The linear $t$ CWM was recently presented as a robust alternative to the better…

统计计算 · 统计学 2015-03-10 Salvatore Ingrassia , Simona C. Minotti , Antonio Punzo

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

统计方法学 · 统计学 2013-03-07 Cinzia Viroli

This study proposes a mixed logit model with multivariate nonparametric finite mixture distributions. The support of the distribution is specified as a high-dimensional grid over the coefficient space, with equal or unequal intervals…

计量经济学 · 经济学 2018-02-08 Akshay Vij , Rico Krueger

Conventional survival analysis methods are typically ineffective to characterize heterogeneity in the population while such information can be used to assist predictive modeling. In this study, we propose a hybrid survival analysis method,…

机器学习 · 计算机科学 2024-04-09 Bojian Hou , Hongming Li , Zhicheng Jiao , Zhen Zhou , Hao Zheng , Yong Fan

We explore computational aspects of maximum likelihood estimation of the mixture proportions of a nonparametric finite mixture model -- a convex optimization problem with old roots in statistics and a key member of the modern data analysis…

统计计算 · 统计学 2023-12-11 Haoyue Wang , Shibal Ibrahim , Rahul Mazumder

Mixtures of Gaussian factors are powerful tools for modeling an unobserved heterogeneous population, offering - at the same time - dimension reduction and model-based clustering. Unfortunately, the high prevalence of spurious solutions and…

统计方法学 · 统计学 2016-08-08 L. A. García-Escudero , A. Gordaliza , F. Greselin , S. Ingrassia , A. Mayo-Iscar

Due to its heavy-tailed and fully parametric form, the multivariate generalized Gaussian distribution (MGGD) has been receiving much attention for modeling extreme events in signal and image processing applications. Considering the…

应用统计 · 统计学 2017-02-27 F. Pascal , L. Bombrun , J. Y. Tourneret , Y. Berthoumieu

This paper presents a new model called infinite mixtures of multivariate Gaussian processes, which can be used to learn vector-valued functions and applied to multitask learning. As an extension of the single multivariate Gaussian process,…

机器学习 · 计算机科学 2013-07-29 Shiliang Sun
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