A central limit theorem for the Euler integral of a Gaussian random field

Gregory Naitzat; Robert J. Adler

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arXiv · 1506.08772

A central limit theorem for the Euler integral of a Gaussian random field

Gregory Naitzat·Robert J. Adler

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Abstract

Euler integrals of deterministic functions have recently been shown to have a wide variety of possible applications, including in signal processing, data aggregation and network sensing. Adding random noise to these scenarios, as is natural in the majority of applications, leads to a need for statistical analysis, the first step of which requires asymptotic distribution results for estimators. The first such result is provided in this paper, as a central limit theorem for the Euler integral of pure, Gaussian, noise fields.

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Gregory Naitzat, Robert J. Adler. 2015-06-29. A central limit theorem for the Euler integral of a Gaussian random field. https://arxiv.org/abs/1506.08772

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