| UNIFORM CONVERGENCY FOR WEIGHTED PERIODOGRAM OF STATIONARY LINEAR RANDOM FIELDS |
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| 引用本文： | He Shuyuan. UNIFORM CONVERGENCY FOR WEIGHTED PERIODOGRAM OF STATIONARY LINEAR RANDOM FIELDS[J]. 数学年刊B辑(英文版), 1995, 16(3): 331-340 |
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| 作者姓名： | He Shuyuan |
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| 作者单位： | Department of Probability and Statistics，Beijing University，Beijing 100871，China. |
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| 摘 要： | ＵＮＩＦＯＲＭＣＯＮＶＥＲＧＥＮＣＹＦＯＲＷＥＩＧＨＴＥＤＰＥＲＩＯＤＯＧＲＡＭＯＦＳＴＡＴＩＯＮＡＲＹＬＩＮＥＡＲＲＡＮＤＯＭＦＩＥＬＤＳ￥ＨＥＳＨＵＹＵＡＮＡｂｓｔｒａｃｔ：Ｌｅｔ｛Ｘｎ；ｎ∈Ｎ２｝ｂｅａｔｗｏｄｉｍｅｎｓｉｏｎａｌｌｙｉｎｄｅｘ...
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| 关 键 词： | 周期图 随机场 弓形差分 一致收敛 白噪声 偏微分函数 |
| 收稿时间： | 1993-12-24 |
UNIFORM CONVERGENCY FOR WEIGHTED PERIODOGRAM OF STATIONARY LINEAR RANDOM FIELDS |
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| He Shuyuan. UNIFORM CONVERGENCY FOR WEIGHTED PERIODOGRAM OF STATIONARY LINEAR RANDOM FIELDS[J]. Chinese Annals of Mathematics,Series B, 1995, 16(3): 331-340 |
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| Authors: | He Shuyuan |
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| Affiliation: | DepartmentofProbabilityandStatistics,BeijingUniversity,Beijing100871,China |
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| Abstract: | Let ${X_n;nin Cal N^2}$ be a two dimensionallyindexed linear stationary random field generated by a $1/4$ martingale difference white noise. The logarithm uniform convergencyresulte for the weighted periodogram of ${X_k; 1leq kleq n}$ is proved. |
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| Keywords: | Periodogram Random field Martingale difference Log-convergency. |
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