Analysis of clustered interval-censored data using a class of semiparametric partly linear frailty transformation models

Chun Yin Lee, Kin Yau Wong, K. F. Lam, Jinfeng Xu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)


A flexible class of semiparametric partly linear frailty transformation models is considered for analyzing clustered interval-censored data, which arise naturally in complex diseases and dental research. This class of models features two nonparametric components, resulting in a nonparametric baseline survival function and a potential nonlinear effect of a continuous covariate. The dependence among failure times within a cluster is induced by a shared, unobserved frailty term. A sieve maximum likelihood estimation method based on piecewise linear functions is proposed. The proposed estimators of the regression, dependence, and transformation parameters are shown to be strongly consistent and asymptotically normal, whereas the estimators of the two nonparametric functions are strongly consistent with optimal rates of convergence. An extensive simulation study is conducted to study the finite-sample performance of the proposed estimators. We provide an application to a dental study for illustration.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
Publication statusAccepted/In press - Nov 2020


  • clustered data
  • nonparametric estimation
  • partly linear model
  • random effects model
  • sieve maximum likelihood estimation

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this