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相关论文: Finite Mixtures of Multivariate Skew Laplace Distr…

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In this study, we propose a robust mixture regression procedure based on the skew t distribution to model heavy-tailed and/or skewed errors in a mixture regression setting. Using the scale mixture representation of the skew t distribution,…

统计理论 · 数学 2017-06-12 Fatma Zehra Doğru , Olcay Arslan

Finite mixture of skew distributions have emerged as an effective tool in modelling heterogeneous data with asymmetric features. With various proposals appearing rapidly in the recent years, which are similar but not identical, the…

统计方法学 · 统计学 2013-05-29 Sharon X. Lee , Geoffrey J. McLachlan

We develop an unsupervised mixture model for non-negative, skewed and heavy-tailed data, such as losses in actuarial and risk management applications. The mixture has a lognormal component, which is usually appropriate for the body of the…

统计方法学 · 统计学 2025-05-29 Marco Bee , Flavio Santi

Finite mixture models have been widely used for the modelling and analysis of data from heterogeneous populations. Maximum likelihood estimation of the parameters is typically carried out via the Expectation-Maximization (EM) algorithm. The…

统计计算 · 统计学 2016-06-08 Sharon X Lee , Kaleb L Lee , Geoffrey J McLachlan

Skew normal mixture models provide a more flexible framework than the popular normal mixtures for modelling heterogeneous data with asymmetric behaviors. Due to the unboundedness of likelihood function and the divergency of shape…

统计方法学 · 统计学 2016-08-05 Libin Jin , Wangli Xu , Liping Zhu , Lixing Zhu

Analysis of matrix-variate data is becoming increasingly common in the literature, particularly in the field of clustering and classification. It is well-known that real data, including real matrix-variate data, often exhibit high levels of…

统计方法学 · 统计学 2024-07-30 Abbas Mahdavi , Narayanaswamy Balakrishnan , Ahad Jamalizadeh

An expanded family of mixtures of multivariate power exponential distributions is introduced. While fitting heavy-tails and skewness has received much attention in the model-based clustering literature recently, we investigate the use of a…

统计方法学 · 统计学 2015-06-15 Utkarsh J. Dang , Ryan P. Browne , Paul D. McNicholas

Finite mixture models have been widely used to model and analyze data from a heterogeneous populations. Moreover, data of this kind can be missing or subject to some upper and/or lower detection limits because of the restriction of…

In this article, we propose joint location, scale and skewness models of the skew Laplace normal (SLN) distribution as an alternative model for joint modelling location, scale and skewness models of the skew-t-normal (STN) distribution when…

统计理论 · 数学 2018-03-15 Fatma Zehra Doğru , Olcay Arslan

In this article, we present the maximum weighted likelihood estimator (MWLE) for robust estimations of heavy-tail finite mixture models (FMM). This is motivated by the complex distributional phenomena of insurance claim severity data, where…

统计方法学 · 统计学 2021-08-04 Tsz Chai Fung

We propose the finite mixture of skewed sub-Gaussian stable distributions. The maximum likelihood estimator for the parameters of proposed finite mixture model is computed through the expectation-maximization algorithm. The proposed model…

统计方法学 · 统计学 2022-05-30 Mahdi Teimouri

We show how the expectation-maximization (EM) algorithm can be applied exactly for the fitting of mixtures of general multivariate skew t (MST) distributions, eliminating the need for computationally expensive Monte Carlo estimation. Finite…

统计方法学 · 统计学 2012-09-06 S. X. Lee , G. J. McLachlan

Mixtures of experts (MoE) models provide a flexible framework for modelling heterogeneity in data for regression and model-based clustering and classification. MoE models for regression are typically based on the Gaussian assumption for the…

统计方法学 · 统计学 2026-05-05 Sphiwe B. Skhosana , Hien Duy Nguyen

This paper considers an extension of the multivariate symmetric Laplace distribution to matrix variate case. The symmetric Laplace distribution is a scale mixture of normal distribution. The maximum likelihood estimators (MLE) of the…

统计理论 · 数学 2025-09-18 Pooja Yadav , Tanuja Srivastava

This paper develops a two-part finite mixture quantile regression model for semi-continuous longitudinal data. The proposed methodology allows heterogeneity sources that influence the model for the binary response variable, to influence…

统计方法学 · 统计学 2021-07-19 Antonello Maruotti , Luca Merlo , Lea Petrella

A mixture of shifted asymmetric Laplace distributions is introduced and used for clustering and classification. A variant of the EM algorithm is developed for parameter estimation by exploiting the relationship with the general inverse…

统计方法学 · 统计学 2017-10-09 Brian C. Franczak , Ryan P. Browne , Paul D. McNicholas

This paper describes an algorithm for fitting finite mixtures of unrestricted Multivariate Skew t (FM-uMST) distributions. The package EMMIX-uskew implements a closed-form expectation-maximization (EM) algorithm for computing the maximum…

统计计算 · 统计学 2013-03-29 Sharon X. Lee , Geoffrey J. McLachlan

Mixtures of shifted asymmetric Laplace distributions were introduced as a tool for model-based clustering that allowed for the direct parameterization of skewness in addition to location and scale. Following common practices, an…

统计方法学 · 统计学 2023-03-28 Yuan Fang , Brian C. Franczak , Sanjeena Subedi

Finite mixtures of skew distributions provide a flexible tool for modelling heterogeneous data with asymmetric distributional features. However, parameter estimation via the Expectation-Maximization (EM) algorithm can become very…

统计计算 · 统计学 2016-08-10 Sharon X Lee , Kaleb L Leemaqz , Geoffrey J McLachlan

Mixture models whose components have skewed hypercube contours are developed via a generalization of the multivariate shifted asymmetric Laplace density. Specifically, we develop mixtures of multiple scaled shifted asymmetric Laplace…

统计方法学 · 统计学 2023-03-28 Brian C. Franczak , Cristina Tortora , Ryan P. Browne , Paul D. McNicholas
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