Identification and isotropy characterization of deformed random fields through excursion sets
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Probability"
DOI: 10.1017/apr.2018.32
Abstract: Abstract A deterministic application θ:ℝ2→ℝ2 deforms bijectively and regularly the plane and allows the construction of a deformed random field X∘θ:ℝ2→ℝ from a regular, stationary, and isotropic random field X:ℝ2→ℝ. The deformed field X∘θ is,… read more here.
Keywords: excursion; field; deformed random; identification isotropy ... See more keywords
Lipschitz-Killing curvatures of excursion sets for two-dimensional random fields
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DOI: 10.1214/19-ejs1530
Abstract: In the present paper, we study three geometric characteristics for the excursion sets of a two dimensional stationary random field. First we show that these characteristics can be estimated without bias if the considered field… read more here.
Keywords: excursion sets; considered field; random; sets two ... See more keywords