Some Asymptotic Results of Gaussian Random Fields with Varying Mean Functions and the Associated Processes

Details Some Asymptotic Results of Gaussian Random Fields with Varying Mean Functions and the Associated Processes Some Asymptotic Results of Gaussian Random Fields with Varying Mean Functions and the Associated Processes

2011-04-10

arxiv.org/abs/1104.1801v2

Mathematics

Statistics Theory

38 pages and 2 figures

Scientific paper

In this paper, we derive tail approximations of integrals of exponential functions of Gaussian random fields with varying mean functions and approximations of the associated point processes. This study is motivated naturally by multiple applications such as hypothesis testing for spatial models, study of the distribution of Bayesian marginal likelihood and Bayes factor, and financial applications.

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