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  • 标题:Log-ratio methods in mixture models for compositional data sets
  • 本地全文:下载
  • 作者:Marc Comas-Cufí ; Josep Antoni Martín-Fernández ; Glòria Mateu-Figueras
  • 期刊名称:SORT-Statistics and Operations Research Transactions
  • 印刷版ISSN:2013-8830
  • 出版年度:2016
  • 卷号:1
  • 期号:2
  • 页码:349-374
  • 语种:English
  • 出版社:SORT- Statistics and Operations Research Transactions
  • 摘要:When traditional methods are applied to compositional data misleading and incoherent results could be obtained. Finite mixtures of multivariate distributions are becoming increasingly important nowadays. In this paper, traditional strategies to fit a mixture model into compositional data sets are revisited and the major difficulties are detailed. A new proposal using a mixture of distributions defined on orthonormal log-ratio coordinates is introduced. A real data set analysis is presented to illustrate and compare the different methodologies.
  • 关键词:Compositional data, Finite Mixture, Log ratio, Model-based clustering, Normal distribution, Orthonormal coordinates, Simplex
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