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Bayesian Local Influence of Generalized Failure Time Models with Latent Variables and Multivariate Censored Data

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Abstract

We develop a Bayesian local influence procedure for generalized failure time models with latent variables and multivariate censored data. We propose to use the penalized splines (P-splines) approach to formulate the unknown functions of the proposed models. We assess the effects of minor perturbations to individual observations, the prior distributions of parameters, and the sampling distribution on statistical inference through various perturbation schemes. The first-order local influence measure is used to quantify the degree of minor perturbations to different aspects of a statistical model with the use of Bayes factor as an objective function. Simulation studies show that the empirical performance of the Bayesian local influence procedure is satisfactory. An application to a study of renal disease for type 2 diabetes patients is presented.

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Funding

This research was supported by GRF 14305014 and 14601115 from the Research Grant Council of the Hong Kong Special Administration Region, Direct Grants from the Chinese University of Hong Kong, the National Natural Science Foundation of China (Grant No. 11471277).

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Authors and Affiliations

  1. Shenzhen Research Institute & Department of Statistics, Chinese University of Hong Kong, Shatin, NT, Hong Kong

    Ming Ouyang & Xinyuan Song

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  1. Ming Ouyang
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  2. Xinyuan Song
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Correspondence to Xinyuan Song.

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Ouyang, M., Song, X. Bayesian Local Influence of Generalized Failure Time Models with Latent Variables and Multivariate Censored Data. J Classif 37, 298–316 (2020). https://doi.org/10.1007/s00357-018-9294-6

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  • DOI: https://doi.org/10.1007/s00357-018-9294-6

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