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 and financial applications.
"Some asymptotic results of Gaussian random fields with varying mean functions and the associated processes." Ann. Statist. 40 (1) 262 - 293, February 2012. https://doi.org/10.1214/11-AOS960