题目:  Gaussian Random Fields on the Sphere: Some Probabilistic and Statistical Properties

报告人： Professor Y.M. Xiao, Michigan State University

时间： 2019年12月19日（周四）15: 30 

地点： 浙江大学玉泉校区欧阳楼316

摘要：  Let T(x), x/in S^2 be a real-valued Gaussian random field,  where  S^2 is the unit sphere in R^3. This talk is concerned with probabilistic and statistical properties of T. When T is isotropic, we show that many properties of T(x) such as regularity, geometric properties of the sample function x→T(x)  are explicitly determined by the high-frequency behavior of its angular power spectrum. 

Moreover, optimal bounds for the prediction errors of the spherical Gaussian field T are derived.                 
 

欢迎大家参加！    

联系人：苏中根suzhonggen@zju.edu.cn）    

浙江大学数学学院统计系