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Some Limit Theorems on the Increments of l p–valued Multi–Parameter Gaussian Processes

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Abstract

In this paper, we establish some limit theorems on the increments of an l p–valued multi–parameter Gaussian process under weaker conditions than those of Csörgő–Shao theorems published in Ann. Probab. (1993).

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou 310028, P. R. China

    Zheng Yan Lin

  2. Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea

    Seaung Hyune Lee

  3. Department of Mathematics, Zhejiang University, Hangzhou 310028, P. R. China

    Kyo Shin Hwang

  4. Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea

    Kyo Shin Hwang

  5. Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea

    Yong Kab Choi

Authors
  1. Zheng Yan Lin
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  2. Seaung Hyune Lee
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  3. Kyo Shin Hwang
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  4. Yong Kab Choi
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Corresponding author

Correspondence to Yong Kab Choi.

Additional information

This work of the first author is supported by NSFC(10131040), SRFDP(2002335090) and KRF(2001-042- D00008), while that of the second, third and fourth authors is supported by KRF(2001-042-D00008)

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Lin, Z.Y., Lee, S.H., Hwang, K.S. et al. Some Limit Theorems on the Increments of l p–valued Multi–Parameter Gaussian Processes. Acta Math Sinica 20, 1019–1028 (2004). https://doi.org/10.1007/s10114-004-0414-3

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  • DOI: https://doi.org/10.1007/s10114-004-0414-3

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