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Интервальный Анализ Распределений И Разрывы
[Interval analysis of distributions and ruptures]

Author

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  • Harin, Alexander

Abstract

An introduction to interval analysis of distributions, as a new direction of interval analysis, is presented, including illustrated examples. New formulas and additional restrictions for intervals of moments, including mean value, are obtained. Among them are Novoselov formulas for moments and the so-called “Ring of formulas” for mean values. In the scope of the interval analysis of distributions, the ruptures for mean values are considered. The interval analysis of distributions may be used, e.g., in probability theory, modeling, forecasting, economics, utility theory.

Suggested Citation

  • Harin, Alexander, 2011. "Интервальный Анализ Распределений И Разрывы
    [Interval analysis of distributions and ruptures]
    ," MPRA Paper 35663, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:35663
    as

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    File URL: https://mpra.ub.uni-muenchen.de/35663/1/MPRA_paper_35663.pdf
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    More about this item

    Keywords

    interval analysis; distribution; mean value; moment; rupture; probability theory; utility theory; economics; modeling;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D3 - Microeconomics - - Distribution
    • C0 - Mathematical and Quantitative Methods - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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