A Comparison of Different Bayesian Models for Leukemia Data. Issue 3 (3rd July 2022)

• Record Type: Journal Article
• Authors: Rafique, Maria; Ali, Sajid; Shah, Ismail; Ashraf, Bilal
• Is Part Of: American journal of mathematical and management sciences. Volume 41:Issue 3(2022)
• Page Start: 244
• Page End: 258
• Publication Date: 2022-07-03
• Subjects: Censored data -- Bayesian inference -- exponentially modified Gaussian distribution -- Leukemia -- Watanabe-Akaike information criterion -- Weibull distribution; 62J02 -- 62F15 -- 62N01 -- 62N02; Operations research -- Periodicals; Management science -- Periodicals; Periodicals; 658.4034
• DOI: 10.1080/01966324.2021.1957730
• Languages: English
• ISSNs: 0196-6324

Abstract

Abstract: Different probability models are used to model survival data. However, it is important to know which model describe best the data because if the assumptions for parametric methods hold, the resulting estimates have smaller standard errors and are easier to interpret and helps in predictions. This article presents the Bayesian censored data modeling assuming Gumbel, double exponential, exponentially modified Gaussian, Weibull, and lognormal distributions as sampling models. In particular, a historical Leukemia data set is used to show the comparison among different models. Markov Chain Monte Carlo (MCMC) methods are used to compute the posterior summaries. Different model selection criteria, like, Akaike Information Criterion (AIC), Deviance Information Criterion (DIC), Leave-one-out Cross-Validation (LOOCV), and Watanabe-Akaike Information Criterion (WAIC) are used for model selection. It is observed from the comparative study that the lognormal model has the minimum values of different model selection criteria and considered to be the best for this Leukemia data.