On excursion sets, tube formulas and maxima of random fields

Adler, R. J. (2000). On excursion sets, tube formulas and maxima of random fields.

Type

Unclassified

Intellectual base

Unclassified

Year

2000

DOI

10.1214/aoap/1019737664

Link

https://doi.org/10.1214/aoap/1019737664

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Excursion probability
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Large deviations of Gaussian random functions
  • Results depend on covariance smoothness, stationarity, domain geometry and whether the target is a maximum, integral or excursion set; finite-dimensional Gaussian tails alone do not determine field extremes.

    This source(Special invited paper.).

Verification

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