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

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The problem of approximation of ho-mogeneous 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.

Sampling theoremHomogeneous random fieldLocal averages sampling

SONG Zhanjie、ZHANG Shuo

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School of Mathematics, Tianjin University, Tianjin 300354, China

Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, China

This work is supported by the National Natural Science Foundation of ChinaThis work is supported by the National Natural Science Foundation of ChinaNatural Science Foundation of Tianjin

613790149174610716JCYBJC15900

2019

10.1049/cje.2018.11.001

中国电子杂志(英文版)

中国电子杂志(英文版)

CSTPCDCSCDSCIEI
ISSN：1022-4653
年,卷(期)：2019.28(1)
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