This investigation aims at a new construction of anisotropic fractional Brownian random fields by the white noise approach.Moreover,we investigate its distribution and sample properties(stationariness of increments,se...This investigation aims at a new construction of anisotropic fractional Brownian random fields by the white noise approach.Moreover,we investigate its distribution and sample properties(stationariness of increments,self-similarity,sample continuity)which will furnish some useful views to future applications.展开更多
基金Supported by the National Natural Science Foundation of China(No.10171035)
文摘This investigation aims at a new construction of anisotropic fractional Brownian random fields by the white noise approach.Moreover,we investigate its distribution and sample properties(stationariness of increments,self-similarity,sample continuity)which will furnish some useful views to future applications.