SONG Zhanjie, ZHANG Shuo. An Almost Sure Result on Approximation of Homogeneous Random Field from Local Averages[J]. Chinese Journal of Electronics, 2019, 28(1): 93-99. doi: 10.1049/cje.2018.11.001
 Citation: SONG Zhanjie, ZHANG Shuo. An Almost Sure Result on Approximation of Homogeneous Random Field from Local Averages[J]. Chinese Journal of Electronics, 2019, 28(1): 93-99.

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

##### doi: 10.1049/cje.2018.11.001
Funds:  This work is supported by the National Natural Science Foundation of China (No.61379014, No.91746107) and the Natural Science Foundation of Tianjin (No.16JCYBJC15900).
• Corresponding author: ZHANG Shuo (corresponding author) was born in Hebei Province, China. She received the M.S. and Ph.D. degrees in Tianjin University. She is a university lecturer of Tianjin University of Finance and Economics. Her research interests include random field and sampling approximation. (Email:shuozhang@tju.edu.cn)
• Rev Recd Date: 2017-05-03
• Publish Date: 2019-01-10
• 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.
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