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Byar, D.P., Huse, R., Bailar, J.C. and The Veterans Administration Cooperative Urological Research Group (1974) An exponential model relating censored survival data and concomitant information for prostatic cancer patients. Journal of National Cancer Institute, 52(2), 321-326.

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• TITLE: Bayesian and hierarchical Bayesian analysis of response - time data with concomitant variables

  AUTHORS: Dinesh Kumar

  KEYWORDS: Bayes Estimator; Bayesian Posterior Density; Gamma Prior Density (GPD); Hierarchical Bayes Estimator; Hyperprior; Noninformative Prior Quasi-Density (NPQD); Progressive Censoring; Squared Error Loss Function (SELF); Whittaker Function W s1, s2 (.).

  JOURNAL NAME: Journal of Biomedical Science and Engineering, Vol.3 No.7, July 15, 2010

  ABSTRACT: This paper considers the Bayes and hierarchical Bayes approaches for analyzing clinical data on response times with available values for one or more concomitant variables. Response times are assumed to follow simple exponential distributions, with a different parameter for each patient. The analyses are carried out in case of progressive censoring assuming squared error loss function and gamma distribution as priors and hyperpriors. The possibilities of using the methodology in more general situations like dose- response modeling have also been explored. Bayesian estimators derived in this paper are applied to lung cancer data set with concomitant variables.