Vine copula mixture models and clustering for non-Gaussian data
نویسندگان
چکیده
The majority of finite mixture models suffer from not allowing asymmetric tail dependencies within components and capturing non-elliptical clusters in clustering applications. Since vine copulas are very flexible these types dependencies, we propose a novel copula model for continuous data. We discuss the selection parameter estimation problems further formulate new model-based algorithm. use allows range shapes dependency structures clusters. Our simulation experiments illustrate significant gain accuracy when notably or/and non-Gaussian margins exist. analysis real data sets accompanies proposed method. show that algorithm with outperforms other techniques, especially multivariate
منابع مشابه
Spatial Interpolation Using Copula for non-Gaussian Modeling of Rainfall Data
‎One of the most useful tools for handling multivariate distributions of dependent variables in terms of their marginal distribution is a copula function‎. ‎The copula families capture a fair amount of attention due to their applicability and flexibility in describing the non-Gaussian spatial dependent data‎. ‎The particular properties of the spatial copula are rarely ...
متن کاملGMCM: Unsupervised Clustering and Meta-Analysis using Gaussian Mixture Copula Models
Methods for unsupervised clustering is an important part of the statistical toolbox in numerous scientific disciplines. Tewari, Giering, and Raghunathan (2011) proposed to use so-called Gaussian Mixture Copula Models (GMCM) for general unsupervised clustering. Li, Brown, Huang, and Bickel (2011) independently discussed a special case of these GMCMs as a novel approach to meta-analysis in high-d...
متن کاملVine Copula Models with GLM and Sparsity
Vine copula provides a flexible tool to capture asymmetry in modelling multivariate distributions. Nevertheless, its flexibility is achieved at the expense of exponentially increasing complexity of the model. To alleviate this issue, the simplifying assumption (SA) is commonly adapted in specific applications of vine copula models. In this paper, generalized linear models (GLMs) are proposed fo...
متن کاملHard-Clustering with Gaussian Mixture Models
Training the parameters of statistical models to describe a given data set is a central task in the field of data mining and machine learning. A very popular and powerful way of parameter estimation is the method of maximum likelihood estimation (MLE). Among the most widely used families of statistical models are mixture models, especially, mixtures of Gaussian distributions. A popular hard-clu...
متن کاملCopula Mixture Model for Dependency-seeking Clustering
We introduce a copula mixture model to perform dependency-seeking clustering when cooccurring samples from different data sources are available. The model takes advantage of the great flexibility offered by the copulas framework to extend mixtures of Canonical Correlation Analysis to multivariate data with arbitrary continuous marginal densities. We formulate our model as a non-parametric Bayes...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Econometrics and Statistics
سال: 2022
ISSN: ['2452-3062', '2468-0389']
DOI: https://doi.org/10.1016/j.ecosta.2021.08.011