This essential reference presents key Bayesian models and computation both from a methodological and application point of view. It further describes parametric and nonparametric Bayesian methods for modeling and how to use modern computational methods to summarize inferences using simulation. The book covers wide range of topics including objective and subjective Bayesian inferences with a variety of applications in modeling categorical, survival, spatial, spatiotemporal, Epidemiological, software reliability, small area and micro array data.