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Introduction to sub-interval analysis. Estimations for the centers of gravity

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  • Harin, Alexander

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.

Suggested Citation

  • Harin, Alexander, 2020. "Introduction to sub-interval analysis. Estimations for the centers of gravity," MPRA Paper 100496, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:100496
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    File URL: https://mpra.ub.uni-muenchen.de/100496/1/MPRA_paper_100496.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.
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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. "Introduction to Sub-Interval Analysis and its Applications (Selected Chapters)," EconStor Books, ZBW - Leibniz Information Centre for Economics, number 62286.
    2. Harin, Alexander, 2012. "Sub-interval analysis and possibilities of its use," MPRA Paper 43414, University Library of Munich, Germany.
    3. Harin, Alexander, 2021. "Sub-interval images. Big Data," MPRA Paper 110782, University Library of Munich, Germany.

    More about this item

    Keywords

    expectation; moments; mathematic; utility theory; prospect theory; behavioral economics; psychology; social sciences;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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