Veres M. Minimax methods of estimation in linear problems with parameter

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U000326

Thesis Registration Form

0405U000326.pdf

Applicant for

Specialization

  • 01.05.04 - Системний аналіз і теорія оптимальних рішень

20-01-2005

Specialized Academic Board

Д 26.001.35.

Essay

In the dissertation methods of minimax estimation of the equations with parameter are considered at some obviously unknown functions. Theorems concerning a kind minimax estimations and errors of minimax estimation of decisions linear algebraic, difference and differential equations are proved. For the set forth above equations the proved theorems concerning properties aprioristic and a posteriori minimax estimations and errors minimax estimation at special restrictions on unknown functions. It is shown that such estimations are expressed through the decision of special systems of the equations, which have the unique decision. For special, practically important, classes of functions constructive minimax procedures of estimation of decisions in terms of Couchet transformation are received.

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aref.DOC

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