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Bayesian accelerated failure time model with multivariate doubly interval-censored data and flexible distributional assumptions. (English) Zbl 1469.62373

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.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
62M40 Random fields; image analysis
62N05 Reliability and life testing

Software:

R; GMRFLib
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