Open AccessMathematical modelling in cyber-physical construction systems
Author(s) -
Boris Titarenko,
Roman Titarenko
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1425/1/012158
Subject(s) - robustness (evolution) , minimax , cyber physical system , variance (accounting) , computer science , mathematical optimization , contrast (vision) , mathematics , artificial intelligence , biochemistry , chemistry , accounting , business , gene , operating system
This paper deals with the problem of mathematical foundation for information block of cyber-physical system (CPS). CPS requires the involvement of a variety of information technologies. Their effectiveness is related to methods of data processing of contaminated data sets. The robust estimation means minimizing asymptotic bias of the estimates in the presence of contaminating observations. In the contrast to the approach of P. Huber and J. Tukey, where robustness is minimizing of the asymptotic variance of estimates, minimax asymptotic bias method is based on the maximum likelihood approach assuming an arbitrary contaminating distribution. Examples of this approach for the most common probability distributions and the ways of applying this approach are also given.