Sub-interval analysis and possibilities of its use

Harin, Alexander (2012): Sub-interval analysis and possibilities of its use.

Abstract

This paper is a brief review and development of a part of the plenary report in the Moscow Institute of Physics and Technology. Three existing tools of sub-interval analysis (sub-interval arithmetic, incomplete data analysis and images) are reviewed and elements of two new tools (sub-interval calculus and layerwise analysis) are presented. The sub-interval analysis may be used, e.g., in economics: microeconomics, macroeconomics, accounting, econometrics, utility theory; internet.

• Item Type: MPRA Paper
• Language: English
• Keywords: economics; microeconomics; macroeconomics; accounting; econometrics; utility; utility theory; modeling; internet
• Subjects: C - Mathematical and Quantitative Methods > C0 - General; A - General Economics and Teaching > A1 - General Economics; C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General

References

Astafyev, G. (2012a) Private communication.

Astafyev, G. (2012b) Private communication.

Harin, А. (2012b) "Sub-interval analysis and possibilities of its use", 55-th Scientific conference of MIPT "Modern problems of fundamental and applied sciences", Moscow, (2012). http://mipt.ru/nauka/55conf/f_5v77jd/f_5v7b0a-arphacx5reu

Harin, А. (2012a) "Introduction to Sub-Interval Analysis and its Applications (Selected Chapters)" // ZBW - German National Library of Economics, EconStor Books, № 62286, 2012. Selected chapters of the book are in open access http://ideas.repec.org/b/zbw/esmono/62286.html

Harin, А. (2011b) "Interval analysis of distributions. Interval images of text, music, representations and video information", 54-th Scientific conference of MIPT "Modern problems of fundamental and applied sciences", Moscow, (2011).

Harin, А. (2011a) About possible additions to interval arithmetic, X International conference on Financial and Actuarial Mathematics and Eventoconvergence of Technologies, Krasnoyarsk, (2011).

Nguyen, H. Kreinovich, V. Wu, B. and Xiang G. "Computing Statistics under Interval and Fuzzy Uncertainty", Springer Verlag, Berlin, Heidelberg, 2012, ISBN 978-3-642-24904-4.

Krivtsov, V. (2012) Comment to the plenary report.

Kruglikov, S. (2011) "The task of a priori laying routes traversing operate in conditions of non-convex obstacles. Guaranteed approach", International conference "Modern problems of applied mathematics and mechanics", Novosibirsk, (2011).

Moore, R. E. (1966) Interval Analysis. Prentice-Hall, Englewood Cliffs N. J., 1966.

Nazarbayev, N. (2012) "Address by the President of the Republic of Kazakhstan Nursultan Nazarbayev on Astana Economic Forum. 23.05.2012". http://www.akorda.kz/ru/page/vystuplenie-prezidenta-respubliki-kazakhstan-nursultana-nazarbaeva-na-v-astaninskom-ekonomicheskom-forume-23_1340714814

Shary, S. P. (2010) Finite-dimensional interval analysis. “XYZ”, Novosibirsk, 2010.