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Functional central limit theorem for the volume of excursion sets generated by associated random fields

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  • Meschenmoser, D.
  • Shashkin, A.

Abstract

We prove a functional central limit theorem for the volume of the excursion sets generated by a stationary and associated random field with smooth realizations.

Suggested Citation

  • Meschenmoser, D. & Shashkin, A., 2011. "Functional central limit theorem for the volume of excursion sets generated by associated random fields," Statistics & Probability Letters, Elsevier, vol. 81(6), pages 642-646, June.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:6:p:642-646
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    Cited by:

    1. Marie Kratz & Sreekar Vadlamani, 2018. "Central Limit Theorem for Lipschitz–Killing Curvatures of Excursion Sets of Gaussian Random Fields," Journal of Theoretical Probability, Springer, vol. 31(3), pages 1729-1758, September.
    2. Marie Kratz & Sreekar Vadlamani, 2016. "CLT for Lipschitz-Killing curvatures of excursion sets of Gaussian random fields," Working Papers hal-01373091, HAL.

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