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概率统计∣ Gaussian Random Fields on the Sphere: Some Probabilistic and Statistical Properties

编辑:wfy 时间:2019年11月29日 访问次数:144

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

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

時間: 20191219日(周四)15: 30 

地點: 浙江大學玉泉校區歐陽樓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!    

聯系人:蘇中根suzhonggen@zju.edu.cn)    

浙江大學數學學院統計系