| UNIFORM CONVERGENCY FOR WEIGHTED PERIODOGRAM OF STATIONARY LINEAR RANDOM FIELDS |
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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 0:00:00 |
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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| Institution: | DepartmentofProbabilityandStatistics,BeijingUniversity,Beijing100871,China |
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| 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. |
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| Keywords: | Periodogram Random field Martingale difference Log-convergency |
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