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Sub-interval analysis and possibilities of its use

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  • Harin, Alexander

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.

Suggested Citation

  • Harin, Alexander, 2012. "Sub-interval analysis and possibilities of its use," MPRA Paper 43414, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:43414
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    File URL: https://mpra.ub.uni-muenchen.de/43414/1/MPRA_paper_43414.pdf
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    References listed on IDEAS

    as
    1. Harin, Alexander, 2011. "Теоремы О Существовании Разрывов На Числовых Отрезках И В Шкале Вероятностей И Некоторые Возможности Их Применения [Theorems of existence of the ruptures in numerical segments and in the probabilit," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, issue 12, pages 5-7.
    2. Harin, Alexander, 2012. "Introduction to Sub-Interval Analysis and its Applications (Selected Chapters)," EconStor Books, ZBW - Leibniz Information Centre for Economics, number 62286, July.
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    Cited by:

    1. Harin, Alexander, 2021. "Sub-interval images. Big Data," MPRA Paper 110782, University Library of Munich, Germany.

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    1. Harin, Alexander, 2012. "Суб-Интервальный Анализ И Возможности Его Применения [Sub-interval analysis and possibilities of its applications]," MPRA Paper 43494, University Library of Munich, Germany.
    2. Harin, Alexander, 2020. "Introduction to sub-interval analysis. Estimations for the centers of gravity," MPRA Paper 100496, University Library of Munich, Germany.
    3. Harin, Alexander, 2012. "Introduction to Sub-Interval Analysis and its Applications (Selected Chapters)," EconStor Books, ZBW - Leibniz Information Centre for Economics, number 62286, July.
    4. Harin, Alexander, 2021. "Sub-interval images. Big Data," MPRA Paper 110782, University Library of Munich, Germany.

    More about this item

    Keywords

    economics; microeconomics; macroeconomics; accounting; econometrics; utility; utility theory; modeling; internet;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • A1 - General Economics and Teaching - - General Economics
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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