Harin, Alexander (2012): Subinterval analysis and possibilities of its use.

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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 subinterval analysis (subinterval arithmetic, incomplete data analysis and images) are reviewed and elements of two new tools (subinterval calculus and layerwise analysis) are presented. The subinterval analysis may be used, e.g., in economics: microeconomics, macroeconomics, accounting, econometrics, utility theory; internet.
Item Type:  MPRA Paper 

Original Title:  Subinterval analysis and possibilities of its use 
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 
Item ID:  43414 
Depositing User:  Alexander Harin 
Date Deposited:  24 Dec 2012 20:46 
Last Modified:  30 Sep 2019 17:05 
References:  Astafyev, G. (2012a) Private communication. Astafyev, G. (2012b) Private communication. Harin, А. (2012b) "Subinterval analysis and possibilities of its use", 55th Scientific conference of MIPT "Modern problems of fundamental and applied sciences", Moscow, (2012). http://mipt.ru/nauka/55conf/f_5v77jd/f_5v7b0aarphacx5reu Harin, А. (2012a) "Introduction to SubInterval 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", 54th 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 9783642249044. Krivtsov, V. (2012) Comment to the plenary report. Kruglikov, S. (2011) "The task of a priori laying routes traversing operate in conditions of nonconvex obstacles. Guaranteed approach", International conference "Modern problems of applied mathematics and mechanics", Novosibirsk, (2011). Moore, R. E. (1966) Interval Analysis. PrenticeHall, 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/vystuplenieprezidentarespublikikazakhstannursultananazarbaevanavastaninskomekonomicheskomforume23_1340714814 Shary, S. P. (2010) Finitedimensional interval analysis. “XYZ”, Novosibirsk, 2010. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/43414 