202,552 research outputs found
Gentle Perturbations of the Free Bose Gas I
It is demonstrated that the thermal structure of the noncritical free Bose
Gas is completely described by certain periodic generalized Gaussian stochastic
process or equivalently by certain periodic generalized Gaussian random field.
Elementary properties of this Gaussian stochastic thermal structure have been
established. Gentle perturbations of several types of the free thermal
stochastic structure are studied. In particular new models of non-Gaussian
thermal structures have been constructed and a new functional integral
representation of the corresponding euclidean-time Green functions have been
obtained rigorously.Comment: 51 pages, LaTeX fil
Variable Selection for Nonparametric Gaussian Process Priors: Models and Computational Strategies
This paper presents a unified treatment of Gaussian process models that
extends to data from the exponential dispersion family and to survival data.
Our specific interest is in the analysis of data sets with predictors that have
an a priori unknown form of possibly nonlinear associations to the response.
The modeling approach we describe incorporates Gaussian processes in a
generalized linear model framework to obtain a class of nonparametric
regression models where the covariance matrix depends on the predictors. We
consider, in particular, continuous, categorical and count responses. We also
look into models that account for survival outcomes. We explore alternative
covariance formulations for the Gaussian process prior and demonstrate the
flexibility of the construction. Next, we focus on the important problem of
selecting variables from the set of possible predictors and describe a general
framework that employs mixture priors. We compare alternative MCMC strategies
for posterior inference and achieve a computationally efficient and practical
approach. We demonstrate performances on simulated and benchmark data sets.Comment: Published in at http://dx.doi.org/10.1214/11-STS354 the Statistical
Science (http://www.imstat.org/sts/) by the Institute of Mathematical
Statistics (http://www.imstat.org
MCMC Bayesian Estimation in FIEGARCH Models
Bayesian inference for fractionally integrated exponential generalized
autoregressive conditional heteroskedastic (FIEGARCH) models using Markov Chain
Monte Carlo (MCMC) methods is described. A simulation study is presented to
access the performance of the procedure, under the presence of long-memory in
the volatility. Samples from FIEGARCH processes are obtained upon considering
the generalized error distribution (GED) for the innovation process. Different
values for the tail-thickness parameter \nu are considered covering both
scenarios, innovation processes with lighter (\nu2) tails
than the Gaussian distribution (\nu=2). A sensitivity analysis is performed by
considering different prior density functions and by integrating (or not) the
knowledge on the true parameter values to select the hyperparameter values
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