An Almost Sure Result on Approximation of Homogeneous Random Field from Local Averages  

作　　者：SONG Zhanjie ZHANG Shuo 

机构地区：[1]School of Mathematics,Tianjin University [2]Department of Mathematics,Tianjin University of Finance and Economics

出　　处：《Chinese Journal of Electronics》2019年第1期93-99,共7页电子学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.61379014,No.91746107);the Natural Science Foundation of Tianjin(No.16JCYBJC15900)

摘　　要：The problem of approximation of homogeneous random field from asymmetric local average sampling is considered in this paper. As a general sampling result, a sufficient condition is obtained to ensure the homogeneous random field be approximated from local averages with probability 1, which extended the result for weak sense stochastic process from local averages to homogeneous random field.The problem of approximation of homogeneous random field from asymmetric local average sampling is considered in this paper. As a general sampling result, a sufficient condition is obtained to ensure the homogeneous random field be approximated from local averages with probability 1, which extended the result for weak sense stochastic process from local averages to homogeneous random field.

关 键 词：Sampling THEOREM HOMOGENEOUS random field LOCAL AVERAGES sampling 

分 类 号：TN[电子电信]