Parametric Survival Analysis Assuming the Proportional Hazard Functions of Survival and Censoring Times Distributions

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2017
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Abstract
The article deals with frequentist and Bayesian Survival analysis in Proportional Hazards model of random censorship using Burr type XII distribution. The Joint Conjugate Prior distribution of the model parameters does not exists while computing the Bayes estimates; we suggest pairwise independent gamma priors for the shape and scale parameters. The closed-form expressions for the Bayes estimates are not possible; we consider two different methods of Bayesian computation, namely, importance sampling and Lindley’s approximation to obtain the Bayes estimates. The Maximum Likelihood estimation is presented in a novel way. Monte Carlo simulation study is carried out to observe the behavior of the Maximum Likelihood estimators and Bayes estimators for different combinations of the quantities involved. One real data analysis is performed for illustration.
Reference Key
imported_1780934154_6a26e60a9e7f0 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Muhammad Yameen Danish, Irshad Ahmad Arshad
Journal Journal of Statistics
Year 2017
DOI
DOI not found
URL
https://jstat.gcu.edu.pk/index.php/jstat/article/view/44
Keywords Keywords not found

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