UNIFORM CONVERGENCY FOR WEIGHTED PERIODOGRAM OF STATIONARY LINEAR RANDOM FIELDS

Citation:

He Shuyuan.UNIFORM CONVERGENCY FOR WEIGHTED PERIODOGRAM OF STATIONARY LINEAR RANDOM FIELDS[J].Chinese Annals of Mathematics B,1995,16(3):331~340
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Authors:

He Shuyuan;
Abstract: Let $\{X_n;n\in \Cal N^2\}$ be a two dimensionally indexed linear stationary random field generated by a $1/4$ martingale difference white noise. The logarithm uniform convergency resulte for the weighted periodogram of $\{X_k; 1\leq k\leq n\}$ is proved.

Keywords:

Periodogram, Random field, Martingale difference, Log-convergency.

Classification:

60A10, 60F15.
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