Objective Bayesian reference analysis for the Poisson process model in presence of recurrent events data

This article applies Bayesian reference analysis, widely considered as the most successful method to produce objective, model-based, posterior distributions, to a problem of inference in survival analysis. A formulation is considered where individuals are expected to experience repeated events, alon...

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Bibliographic Details
Published inTest (Madrid, Spain) Vol. 20; no. 1; pp. 204 - 221
Main Authors Bernardo, José Miguel, Tomazella, Vera Lucia
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.05.2011
Springer Nature B.V
Subjects
Bayesian analysis
Economics
Experiments
Finance
Inference
Insurance
Management
Mathematical models
Mathematics and Statistics
Original Paper
Poisson distribution
Sampling
Statistical Theory and Methods
Statistics
Statistics for Business
Studies
Survival
Survival analysis
Tumors
Reference analysis
62N01
Bayesian inference
63F15
Poisson process
Recurrent events
Intensity function
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Summary:This article applies Bayesian reference analysis, widely considered as the most successful method to produce objective, model-based, posterior distributions, to a problem of inference in survival analysis. A formulation is considered where individuals are expected to experience repeated events, along with concomitant variables. The sampling distribution of the observations is modeled through a proportional intensity homogeneous Poisson process.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1133-0686
1863-8260
DOI:10.1007/s11749-010-0195-1