On the distribution of a max-stable process conditional on max-linear functionals

Marco Oesting

Statistics & Probability Letters, 2015, vol. 100, issue C, 158-163

Abstract: Recently, Dombry and Éyi-Minko (2013) provided formulae for the distribution of a max-stable process conditional on its values at given sites and proposed a methodology for sampling from this distribution. We generalize their results by allowing for conditions stemming from max-linear functionals of the process. Furthermore, we show that the conditional distribution of the extremal functions, i.e. the spectral functions attaining the imposed conditions, is closely related to the normalized spectral representation. The results are illustrated in several examples.

Keywords: Conditional simulation; Normalized representation; Spatial extremes (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2015.02.002

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