IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/99286.html
   My bibliography  Save this paper

Behavioral sciences and auto-transformations of functions

Author

Listed:
  • Harin, Alexander

Abstract

The two goals of the present article are: 1) To define transformations (named here as auto-transformations) of the probability density functions of random variables (or other functions) into similar functions having smaller sizes of their domains. 2) To research and outline basic features of these transformations. In particular, auto-transformations from infinite to finite domains are analyzed. The goals are caused by the well-known problems of behavioral sciences.

Suggested Citation

  • Harin, Alexander, 2020. "Behavioral sciences and auto-transformations of functions," MPRA Paper 99286, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:99286
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/99286/1/MPRA_paper_99286.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Scheutzow, Michael, 1985. "Noise can create periodic behavior and stabilize nonlinear diffusions," Stochastic Processes and their Applications, Elsevier, vol. 20(2), pages 323-331, September.
    2. Alexander Harin, 2012. "Data Dispersion in Economics(II) - Inevitability and Consequences of Restrictions," Review of Economics & Finance, Better Advances Press, Canada, vol. 2, pages 24-36, November.
    3. Daniel Kahneman & Richard H. Thaler, 2006. "Anomalies: Utility Maximization and Experienced Utility," Journal of Economic Perspectives, American Economic Association, vol. 20(1), pages 221-234, Winter.
    4. R. Sharma & R. Bhandari, 2014. "On Variance Upper Bounds for Unimodal Distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(21), pages 4503-4513, November.
    5. Lioudmila Vostrikova, 2015. "Utility Maximisation for Exponential Levy Models with option and information processes," Papers 1509.02727, arXiv.org, revised Jul 2017.
    6. Harin, Alexander, 2018. "Inequalities and zones. New mathematical results for behavioral and social sciences," MPRA Paper 90326, University Library of Munich, Germany.
    7. Steftcho P. Dokov & David P. Morton, 2005. "Second-Order Lower Bounds on the Expectation of a Convex Function," Mathematics of Operations Research, INFORMS, vol. 30(3), pages 662-677, August.
    8. Harin, Alexander, 2018. "Forbidden zones for the expectation. New mathematical results for behavioral and social sciences," MPRA Paper 86650, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Harin, Alexander, 2020. "Macroscopic analogs of quantum-mechanical phenomena and auto-transformations of functions," MPRA Paper 104188, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Harin, Alexander, 2019. "Forbidden zones for the expectations of measurement data and problems of behavioral economics," MPRA Paper 91368, University Library of Munich, Germany.
    2. Alexander Harin, 2022. "Forbidden Zones for the Expectations of Data: New Mathematical Methods and Models for Behavioral Economics," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 8(1), pages 12-26, 12-2021.
    3. Harin, Alexander, 2019. "Behavioral sciences and auto-transformations. Introduction," MPRA Paper 97344, University Library of Munich, Germany.
    4. Alexander Harin, 2021. "Auto-Transformations of the Probability Density Functions," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 7(3), pages 167-178, 07-2021.
    5. Harin, Alexander, 2018. "Inequalities and zones. New mathematical results for behavioral and social sciences," MPRA Paper 90326, University Library of Munich, Germany.
    6. Harin, Alexander, 2021. "Behavioral economics. Forbidden zones. New method and models," MPRA Paper 106545, University Library of Munich, Germany.
    7. Harin, Alexander, 2018. "Forbidden zones for the expectation. New mathematical results for behavioral and social sciences," MPRA Paper 86650, University Library of Munich, Germany.
    8. Harin, Alexander, 2015. "An existence theorem for bounds (restrictions) on the expectation of a random variable. Its opportunities for utility and prospect theories," MPRA Paper 66692, University Library of Munich, Germany.
    9. Harin, Alexander, 2017. "Can forbidden zones for the expectation explain noise influence in behavioral economics and decision sciences?," MPRA Paper 76240, University Library of Munich, Germany.
    10. Harin, Alexander, 2018. "Forbidden zones and biases for the expectation of a random variable. Version 2," MPRA Paper 85607, University Library of Munich, Germany.
    11. Harin, Alexander, 2020. "Macroscopic analogs of quantum-mechanical phenomena and auto-transformations of functions," MPRA Paper 104188, University Library of Munich, Germany.
    12. Harin, Alexander, 2017. "Some estimations of the minimal magnitudes of forbidden zones in experimental data," MPRA Paper 80319, University Library of Munich, Germany.
    13. Harin, Alexander, 2015. "An existence theorem for bounds on the expectation of a random variable. Its opportunities for utility theories. V. 2," MPRA Paper 67071, University Library of Munich, Germany.
    14. Harin, Alexander, 2017. "Behavioral economics and auto-images of distributions of random variables," MPRA Paper 83025, University Library of Munich, Germany.
    15. Harin, Alexander, 2018. "Forbidden zones for the expectation of a random variable. New version 1," MPRA Paper 84248, University Library of Munich, Germany.
    16. Alexander Harin, 2013. "Data dispersion near the boundaries: can it partially explain the problems of decision and utility theories?," Working Papers hal-00851022, HAL.
    17. Harin, Alexander, 2017. "About the minimal magnitudes of measurement’s forbidden zones. Version 1," MPRA Paper 78796, University Library of Munich, Germany.
    18. Harin, Alexander, 2023. "To solve old problems of economics. The experimental background," MPRA Paper 117157, University Library of Munich, Germany.
    19. Harin, Alexander, 2014. "Is data interpretation in utility and prospect theories unquestionably correct?," MPRA Paper 53880, University Library of Munich, Germany.
    20. Harin, Alexander, 2015. "An existence theorem for restrictions on the mean in the presence of a restriction on the dispersion," MPRA Paper 64646, University Library of Munich, Germany.

    More about this item

    Keywords

    probability; variance; noise; bias; measurement; utility theory; prospect theory; behavioral economics; psychology; decision sciences; social sciences;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:99286. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.