Parsimonious mixture of mean-mixture of normal distributions with missing data

Document Type : Special Issue Dedicated to memory of Prof. Mahbanoo Tata

Authors

1 Department of Statistics, University of Kashan, Kashan, Iran

2 Farhangian University Of Kerman, Kerman, Iran

Abstract

Clustering multivariate data based on mixture distributions is a usual method to characterize groups and label data sets. Mixture models have recently been received considerable attention to accommodate asymmetric and missing data via exploiting skewed and heavy-tailed distributions. In this paper, a mixture of multivariate mean-mixture of normal distributions is considered for handling missing data. The EM-type algorithms are carried out to determine maximum likelihood of parameters estimations. We analyzed the real data sets and conducted simulation studies to demonstrate the superiority of the proposed methodology.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 13, Issue 3 - Serial Number 28
Special Issue Dedicated to Memory of Professor Mahbanoo Tata
August 2024
Pages 33-54

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History

  • Receive Date: 08 December 2023
  • Revise Date: 21 February 2024
  • Accept Date: 28 April 2024

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