Semenovska N. Linear prediction problems for a homogeneous and isotropic random field observing on a sphere

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U003892

Thesis Registration Form

0407U003892.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

24-09-2007

Specialized Academic Board

Д26.001.37

Essay

For concrete correlation models of homogeneous and isotropic random fields there are obtained the explicit formulas for the linear unbiased estimate of the value of the field at the center of the sphere and for variations of linear unbiased estimates of unknown mean by observations on the sphere and in the ball . The interpolation problem for homogeneous and isotropic random field for an arbitrary point of the circle (sphere) by observations from finite set on the circle (sphere) is investigated .

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Files

Aref.pdf

dis.pdf

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