Renormalization Group in Bayesian Statistical Inference

Bayesian Statistical Inference in Anesthesiology

4 July 2013 I N this issue of ANesthesiology, Kant et al.1 demonstrate the application of the Continual Reassessment Method in the estimation of the eD95 for bupivacaine. The article is not only of clinical interest, but also serves to illustrate the utility of a formal Bayesian statistical analysis. in the field of statistics, the use of such a Bayesian approach to evaluate scientific evidence...

Renormalization Group: Applications in Statistical Physics

These notes aim to provide a concise pedagogical introduction to some important applications of the renormalization group in statistical physics. After briefly reviewing the scaling approach and Ginzburg–Landau theory for critical phenomena near continuous phase transitions in thermal equilibrium, Wilson’s momentum shell renormalization group method is presented, and the critical exponents for ...

Non-perturbative effects and renormalization in non-parametric Bayesian statistical inference

The probability that a nearest neighbour random walker is at the origin on a given structure, as t → ∞, is known to scale as t−d̄/2, where d̄ is a scaling parameter which depends on the geometry of the structure. Knowledge of the parameter d̄ gives useful information concerning the properties of the system and is used in condensed matter physics, chemistry and in other areas where diffusive phenom...

The Bayesian Controversy in Statistical Inference

OF THE DISCUSSION Prof. G. A. Barnard, in introducing the paper, said that he felt not only honoured but particularly pleased to be given the opportunity of presenting the paper to a body of people who, probably for longer than anyone else, had been engaged in the application of mathematical doctrine and probabilities in the affairs of life. In § 2 he had indicated his view that the controversy...

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