Sample behavior and laws of large numbers for Gaussian random elements.
Ergemlidze, Z., Shangua, A., Tarieladze, V. (2003)
Georgian Mathematical Journal
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Displaying similar documents to “Limit Theorem for High Level -upcrossings by -field”
Sample behavior and laws of large numbers for Gaussian random elements.
Hölder versions of Banach space valued random fields.
Račkauskas, Alfredas, Suquet, Charles (2001)
Georgian Mathematical Journal
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Application of the random field theory in PET imaging - injection dose optimization
Jiří Dvořák, Jiří Boldyš, Magdaléna Skopalová, Otakar Bělohlávek (2013)
Kybernetika
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This work presents new application of the random field theory in medical imaging. Results from both integral geometry and random field theory can be used to detect locations with significantly increased radiotracer uptake in images from positron emission tomography (PET). The assumptions needed to use these results are verified on a set of real and simulated phantom images. The proposed method of detecting activation (locations with increased radiotracer concentration) is used to quantify...
Complex determinantal processes and noise.
Rider, Brian, Virag, Balint (2007)
Electronic Journal of Probability [electronic only]
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On the Itô formula in a Banach space.
Mamporia, B. (2000)
Georgian Mathematical Journal
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Hilbert space valued generalized random processes. I.
Seleši, Dora (2007)
Novi Sad Journal of Mathematics
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Functionals of spatial point processes having a density with respect to the Poisson process
Viktor Beneš, Markéta Zikmundová (2014)
Kybernetika
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-statistics of spatial point processes given by a density with respect to a Poisson process are investigated. In the first half of the paper general relations are derived for the moments of the functionals using kernels from the Wiener-Itô chaos expansion. In the second half we obtain more explicit results for a system of -statistics of some parametric models in stochastic geometry. In the logarithmic form functionals are connected to Gibbs models. There is an inequality...