# Estimates for Distributions of Suprema of Spherical Random Fields

### Abstract

Bounds for distributions of suprema of $\varphi$-sub-Gaussian random fields defined over the $N$-dimensional unit sphere are stated. Applications of the results to the spherical fractional Brownian motion, isotropic Gaussian fields and some other models are presented.### References

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*Statistics, Optimization & Information Computing*,

*11*(2), 186-195. https://doi.org/10.19139/soic-2310-5070-1705

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