Radchenko S. Stable Estimation of Statistical Models of Technical Systems

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0510U000113

Thesis Registration Form

0510U000113.pdf

Applicant for

Radchenko Stanislav Grjgorovich

Specialization

01.05.02 - Математичне моделювання та обчислювальні методи

Date of defense

15-02-2010

Specialized Academic Board

Д 26.002.02

Publishing and Printing Institute of Igor Sikorsky Kyiv Polytechnic Institute

Essay

Sequential regular designs and ЛП?-based designs of uniformly distributed se-quences of uniformly distributed sequences have been made and studied for the first time. The methods for obtaining quasi-orthogonal and quasi-D-optimal designs of ex-periments (algorithms RASTA 1, RASTA 2) have been developed. A formalized system of basic functions being necessary and sufficient for obtaining the adequate statistical models, algorithm RASTA 3 of formalized search for the models have been made and checked for the first time. A method of topologic mapping of the factor space pre-image into image to obtain the model which is the best of all possible ones in the image domain of arbitrary shape has been proposed and analyzed for the first time. The method variants have been real-ized in the RASTA 4, RASTA 4K, RASTA 5.1, RASTA 10, RASTA 14, RASTA 13 al-gorithms. It is shown that the mapping of the experiment design point coordinates from the pre-image into image makes a group; factors orthogonality and other experiment design properties in the pre-image are also preserved in the image in the proper coded coordi-nate system.

Official opponents

Теленик Сергій Федорович
Винничук Степан Дмитрович
Пепеляєв Володимир Анатолійович

Files

aref.doc

dis_Радченко--Dis6.doc

dis_Радченко--dis1.doc

dis_Радченко--dis10.doc

dis_Радченко--dis11.doc

dis_Радченко--dis12.doc

dis_Радченко--dis13.doc

dis_Радченко--dis14.doc

dis_Радченко--dis15.doc

dis_Радченко--dis2.doc

dis_Радченко--dis3.doc

dis_Радченко--dis4.doc

dis_Радченко--dis5.doc

dis_Радченко--dis7.doc

dis_Радченко--dis8.doc

dis_Радченко--dis9.doc

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