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

Jingchen Liu; Gongjun Xu

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arXiv · 1104.1801

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

Jingchen Liu·Gongjun Xu

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Abstract

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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Jingchen Liu, Gongjun Xu. 2011-04-10. Some Asymptotic Results of Gaussian Random Fields with Varying Mean Functions and the Associated Processes. https://arxiv.org/abs/1104.1801

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