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A central limit theorem for Lebesgue integrals of random fields

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  • Kampf, Jürgen

Abstract

In this paper we show a central limit theorem for Lebesgue integrals of stationary BL(θ)-dependent random fields as the integration domain grows in Van Hove-sense. Our method is to use the (known) analogue result for discrete sums.

Suggested Citation

  • Kampf, Jürgen, 2017. "A central limit theorem for Lebesgue integrals of random fields," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 5-12.
    • Handle: RePEc:eee:stapro:v:124:y:2017:i:c:p:5-12
    DOI: 10.1016/j.spl.2016.12.017
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    References listed on IDEAS

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    1. Taylor, Jonathan E. & Worsley, Keith J., 2007. "Detecting Sparse Signals in Random Fields, With an Application to Brain Mapping," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 913-928, September.
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