Conditions for the finiteness of the moments of the volume of level sets
Let X(t) be a Gaussian random field R d → R. Using the notion of (d − 1)-integral geometric measures, we establish a relation between (a) the volume of level sets, and (b) the number of crossings of the restriction of the random field to a line. Using this relation we prove the equivalence between t...
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| Hovedforfatter: | |
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| Andre forfattere: | , , |
| Format: | article |
| Sprog: | engelsk |
| Udgivet: |
2019
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| Fag: | |
| Online adgang: | https://hdl.handle.net/20.500.12008/28107 |
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