A Note on Asymptotic Normality of Kernel Estimation for Linear Random Fields on Z 2

Author:

Cheng Tsung-Lin,Ho Hwai-Chung,Lu Xuewen

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference21 articles.

1. Bradley, R.C.: Basic properties of strong mixing conditions. In: Eberlein, E., Taqqu, M.S. (eds.) Dependence in Probability and Statistics, pp. 162–192. Birkhäuser, Boston (1986)

2. Cheng, T.L., Ho, H.C.: Asymptotic normality for non-linear functionals of non-causal linear processes with summable weights. J. Theor. Probab. 18, 345–358 (2005)

3. Cheng, T.L., Ho, H.C.: Central limit theorems for instantaneous filters of linear random fields on Z 2. In: Hsiung, A.C., Ying, Z., Zhang, C.H. (eds.) Random Walks, Sequential Analysis and Related Topics—A Festschrift in Honor of Y.S. Chow, pp. 71–84. World Scientific, Singapore (2007)

4. Lecture Notes in Statistics;P. Doukhan,1994

5. Doukhan, P., Lang, G., Surgailis, D.: Asymptotics of weighted empirical processes of linear fields with long-range dependence. Ann. Inst. H. Poincaré 38, 879–896 (2002)

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