ISJ Theoretical & Applied Science



Information about the scientific conferences and journal

Schedule of conferences

Submit a report to the conference

Requirements to the article



Journal archive

Tracing of postal items

The organizing Committee of Conference

Editorial Board       p-ISSN 2308-4944 (print)       e-ISSN 2409-0085 (online)
SOI: 1.1/TAS         DOI: 10.15863/TAS

Journal Archive

ISJ Theoretical & Applied Science 09(53) 2017

ISPC Innovations in science, Philadelphia, USA

* Scientific Article * Impact Factor 6.630

Zhanatauov SU


Full Article: PDF

Scientific Object Identifier:


Language: Russian

Citation: Zhanatauov SU (2017) THEOREM ON THE - SAMPLES. ISJ Theoretical & Applied Science, 09 (53): 177-192. Soi: Doi:

Pages: 177-192

Published: 30.09.2017

Abstract: The proof of the theorem on the existence of infinite sets of -samples simulated within framework of the inverse model of the principal component analysis (IM PCA) [2-5,8] with n=2 is given in the article. IM PCA was developed for any integer value of n greater than 2:n>2 [2-5,8]. Within the framework of the IM PCA, the inverse problem of the principal component analysis (IP PCA) having an infinite set of associated solutions--samples Z(t, mn, 1-dimensional z-variables in which is modeled and histogramically adequate to 1-dimensional z-variables in a real multidimen sional sample [8,12-16].It is shown how to quantify the effect of the coefficient r12=r21=r on the f-parameters f2,…,f6 [2-5,8] of the spectrum nn of the correlation matrix R()nn and on the elements of the matrices 22,C()22, the multidimensional -samples Y(t)m2,Z(t,)m2, t=1,…,кt<,=1,…,k<.

Key words: inverse model jf the principal component analysis, -sample








© «Theoretical &Applied Science»                      2013 г.