Harin, Alexander (2020): Introduction to sub-interval analysis. Estimations for the centers of gravity.
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Abstract
An introduction to a sub-interval analysis (SI analysis or SIA) namely to a SI arithmetic is presented. Prerequisites and possible applications of the SIA are reviewed. A system of definitions of the SIA is formulated. New basic formulae are obtained. Some examples are considered including estimations of the minimal values of forbidden zones for measurements in behavioral economics. The article is concentrated mainly on estimations for the centers of gravity.
Item Type: | MPRA Paper |
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Original Title: | Introduction to sub-interval analysis. Estimations for the centers of gravity |
Language: | English |
Keywords: | expectation; moments; mathematic; utility theory; prospect theory; behavioral economics; psychology; social sciences; |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General D - Microeconomics > D8 - Information, Knowledge, and Uncertainty |
Item ID: | 100496 |
Depositing User: | Alexander Harin |
Date Deposited: | 18 May 2020 21:59 |
Last Modified: | 18 May 2020 21:59 |
References: | Harin, А. (2011a) About possible additions to interval arithmetic, X International conference on Financial and Actuarial Mathematics and Eventoconvergence of Technologies, Krasnoyarsk, (2011). Harin, А. (2011b) Ruptures in the probability scale. Interval analysis. International conference "Modern problems of applied mathematics and mechanics" devoted to 90th Anniversary from the birthday of academician N.N.Yanenko, Novosibirsk, (2011). Harin, А. (2011c) 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. (2011d) " Interval analysis of distributions and ruptures", MPRA Paper, No 35663 (2011). Harin, А. (2012a) Subinterval analysis. First results. 15th International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations, Novosibirsk, (2012). 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. (2012c) Interval pictures and images. Their use for preliminary analysis and recognition, XIX International conference "Mathematics. Computer. Education", Dubna, (2012). Harin, А. (2012d) About global optimization in subinterval analysis at analog of Lipschitz's condition, XX International conference "Mathematics. Economics. Education", Rostov-na-Donu, (2012). Harin, А. (2012e) About interval analogues of scalar products and Fourier series, VII International symposium "Fourier series and their application", Rostov-na-Donu, (2012). Moore, R. (1966) Interval Analysis. Prentice-Hall, Englewood Cliffs N. J., 1966. Shary, S. (2020) Finite-dimensional interval analysis. “XYZ”, Novosibirsk, 2020. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/100496 |