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Almost sure max-limits for nonstationary Gaussian sequence

Author

Listed:
  • Chen, Shouquan
  • Lin, Zhengyan

Abstract

We obtain some almost sure limit theorems for a standardized nonstationary Gaussian sequence under some mild conditions.

Suggested Citation

  • Chen, Shouquan & Lin, Zhengyan, 2006. "Almost sure max-limits for nonstationary Gaussian sequence," Statistics & Probability Letters, Elsevier, vol. 76(11), pages 1175-1184, June.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:11:p:1175-1184
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    References listed on IDEAS

    as
    1. Csáki, Endre & Gonchigdanzan, Khurelbaatar, 2002. "Almost sure limit theorems for the maximum of stationary Gaussian sequences," Statistics & Probability Letters, Elsevier, vol. 58(2), pages 195-203, June.
    2. Stadtmüller, U., 2002. "Almost sure versions of distributional limit theorems for certain order statistics," Statistics & Probability Letters, Elsevier, vol. 58(4), pages 413-426, July.
    3. Fahrner, Ingo, 2000. "An extension of the almost sure max-limit theorem," Statistics & Probability Letters, Elsevier, vol. 49(1), pages 93-103, August.
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    Citations

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    Cited by:

    1. Zhicheng Chen & Hongyun Zhang & Xinsheng Liu, 2020. "Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    2. Luísa Pereira & Zhongquan Tan, 2017. "Almost Sure Convergence for the Maximum of Nonstationary Random Fields," Journal of Theoretical Probability, Springer, vol. 30(3), pages 996-1013, September.
    3. Panga, Zacarias & Pereira, Luísa, 2019. "On the almost sure convergence for the joint version of maxima and minima of stationary sequences," Statistics & Probability Letters, Elsevier, vol. 154(C), pages 1-1.
    4. Tan, Zhongquan & Peng, Zuoxiang, 2009. "Almost sure convergence for non-stationary random sequences," Statistics & Probability Letters, Elsevier, vol. 79(7), pages 857-863, April.

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