The DA-T Gibbs sampler is proposed by Maris and Maris (2002) as a Bayesian estimation method for a wide variety of Item Response Theory (IRT) models. The present paper provides an expository account of the DAT Gibbs sampler for the 2PL model. However, the scope is not limited to the 2PL model. It is demonstrated how the DA-T Gibbs sampler for the 2PL may be used to build, quite easily, Gibbs sa...

Gibbs field is one of the central objects of the modern probability, mathematical statistical physics and euclidean quantum field theory. Here we define and study its natural generalization for the case when the space, where the random field is defined is itself random. Moreover, this randomness is not given apriori and independently of the configuration, but rather they depend on each other, a...

1. Definition of Catalytic Properties 1.1. Conversion 1.2. Selectivity 1.3. Yield 1.4. Catalyst Deactivation and Sustainability 2. Reactor Types 2.1. Batch Reactor 2.2. Perfectly Mixed Flow Reactor 2.3. Plug Flow Reactor 3. Intrinsic Kinetics 3.1. External Mass and Heat Transport Limitations 3.2. Internal Mass and Heat Transport Limitations 3.3. Flow Pattern Ideality 4. Specific Reactor Types 4...

Ever increasing computational power along with ever more sophisticated statistical computing techniques is making it possible to fit ever more complex statistical models. Among the popular, computationally intensive methods, the Gibbs sampler (Geman and Geman, 1984) has been spotlighted because of its simplicity and power to effectively generate samples from a high-dimensional probability distr...

Given a countable graph G and a finite graph H, we consider Hom(G ,H) the set of graph homomorphisms from G to H and we study Gibbs measures supported on Hom(G ,H). We develop some sufficient and other necessary conditions on Hom(G ,H) for the existence of Gibbs specifications satisfying strong spatial mixing (with exponential decay rate). We relate this with previous work of Brightwell and Win...