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The asymptotic location of the maximum of a stationary random field

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  • Pereira, L.

Abstract

In this paper we study the limiting distribution of the location of the maximum generated by a stationary random field satisfying a long range weak dependence for each coordinate at a time.

Suggested Citation

  • Pereira, L., 2009. "The asymptotic location of the maximum of a stationary random field," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2166-2169, October.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:20:p:2166-2169
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    References listed on IDEAS

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    1. Ferreira, H. & Pereira, L., 2008. "How to compute the extremal index of stationary random fields," Statistics & Probability Letters, Elsevier, vol. 78(11), pages 1301-1304, August.
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    Cited by:

    1. Tan, Zhongquan, 2013. "The limit theorems on extremes for Gaussian random fields," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 436-444.
    2. Luísa Pereira, 2018. "On the Asymptotic Locations of the Largest and Smallest Extremes of a Stationary Sequence," Journal of Theoretical Probability, Springer, vol. 31(2), pages 853-866, June.
    3. Peng, Zuoxiang & Tong, Jinjun & Weng, Zhichao, 2019. "Exceedances point processes in the plane of stationary Gaussian sequences with data missing," Statistics & Probability Letters, Elsevier, vol. 149(C), pages 73-79.
    4. Tan, Zhongquan & Tang, Linjun, 2017. "On the maxima and sums of homogeneous Gaussian random fields," Statistics & Probability Letters, Elsevier, vol. 125(C), pages 44-54.
    5. Liu, Huiyan & Tan, Zhongquan, 2022. "Point processes of exceedances by Gaussian random fields with applications to asymptotic locations of extreme order statistics," Statistics & Probability Letters, Elsevier, vol. 189(C).

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    1. Tan, Zhongquan, 2013. "The limit theorems on extremes for Gaussian random fields," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 436-444.
    2. Tan, Zhongquan & Tang, Linjun, 2017. "On the maxima and sums of homogeneous Gaussian random fields," Statistics & Probability Letters, Elsevier, vol. 125(C), pages 44-54.
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