Komárek, Arnošt; Lesaffre, Emmanuel Bayesian accelerated failure time model with multivariate doubly interval-censored data and flexible distributional assumptions. (English) Zbl 1469.62373 J. Am. Stat. Assoc. 103, No. 482, 523-533 (2008). Summary: We consider the relationship of covariates to the time to caries of permanent first molars. This involves an analysis of multivariate doubly interval-censored data. To describe this relationship, we suggest an accelerated failure time model with random effects, taking into account that the observations are clustered. Indeed, up to four permanent molars per child enter into the analysis, implying up to four caries times for each child. Each distributional part of the model is specified in a flexible way as a penalized Gaussian mixture with an overspecified number of mixture components. A Bayesian approach with the Markov chain Monte Carlo methodology is used to estimate the model parameters, and a software package in the R language has been written that implements it. Cited in 25 Documents MSC: 62P10 Applications of statistics to biology and medical sciences; meta analysis 62M40 Random fields; image analysis 62N05 Reliability and life testing Keywords:clustered data; density smoothing; Gaussian Markov random field; Markov chain Monte Carlo; regression; survival data Software:R; GMRFLib PDFBibTeX XMLCite \textit{A. Komárek} and \textit{E. Lesaffre}, J. Am. Stat. Assoc. 103, No. 482, 523--533 (2008; Zbl 1469.62373) Full Text: DOI