Klykavka B. Tauberian theorems for random fields with singularity in spectrum

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U001025

Thesis Registration Form

0411U001025.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

20-12-2010

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The thesis is devoted to the investigation of random fields with singularities in spectrum. The homogeneous isotropic random fields with singularities at non-zero frequencies are studied. This class of random fields generalizes strongly dependent random fields, which have only singularity of spectral density at zero. The limit theorem for random fields with singularity of isotropic spectral density at nonzero frequencies is proved. Some properties of discrete version of the deformation method for nonstationary random fields are studied.

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Files

Diser_Klykavka.pdf

aref.doc

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