Mixtures of factor analyzers with covariates for modeling multiply censored dependent variables

Wan Lun Wang, Luis M. Castro, Wan Chen Hsieh, Tsung I. Lin

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


Censored data arise frequently in diverse applications in which observations to be measured may be subject to some upper and lower detection limits due to the restriction of experimental apparatus such that they are not exactly quantifiable. Mixtures of factor analyzers with censored data (MFAC) have been recently proposed for model-based density estimation and clustering of high-dimensional data in the presence of censored observations. In this paper, we consider an extended version of MFAC by considering regression equations to describe the relationship between covariates and multiply censored dependent variables. Two analytically feasible EM-type algorithms are developed for computing maximum likelihood estimates of model parameters with closed-form expressions. Moreover, we provide an information-based method to compute asymptotic standard errors of mixing proportions and regression coefficients. The utility and performance of our proposed methodology are illustrated through a simulation study and two real data examples.

Original languageEnglish
Pages (from-to)2119-2145
Number of pages27
JournalStatistical Papers
Issue number5
Publication statusPublished - 2021 Oct

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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