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A non-zero dispersion leads to the non-zero bias of mean

  • Harin, Alexander
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    A theorem of existence of the non-zero restrictions for the mean of a function on a finite numerical segment at a non-zero dispersion of the function is proved. The theorem has an applied character. It is aimed to be used in the probability theory and statistics and further in economics. Its ultimate aim is to help to answer the Aczél-Luce question whether W(1)=1 and to explain, at least partially, the well-known problems and paradoxes of the utility theory, such as the underweighting of high and the overweighting of low probabilities, the Allais paradox, the four-fold pattern paradox, etc., by purely mathematical methods.

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    File URL: http://mpra.ub.uni-muenchen.de/47559/1/MPRA_paper_47559.pdf
    File Function: original version
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    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 47559.

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    Date of creation: 11 Jun 2013
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    Handle: RePEc:pra:mprapa:47559
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    1. 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.
    2. Kenneth Y. Chay & Patrick J. McEwan & Miguel Urquiola, 2003. "The Central Role of Noise in Evaluating Interventions that Use Test Scores to Rank Schools," NBER Working Papers 10118, National Bureau of Economic Research, Inc.
    3. Hey, John D & Orme, Chris, 1994. "Investigating Generalizations of Expected Utility Theory Using Experimental Data," Econometrica, Econometric Society, vol. 62(6), pages 1291-1326, November.
    4. David J. Butler & Graham C. Loomes, 2007. "Imprecision as an Account of the Preference Reversal Phenomenon," American Economic Review, American Economic Association, vol. 97(1), pages 277-297, March.
    5. Tversky, Amos & Wakker, Peter, 1995. "Risk Attitudes and Decision Weights," Econometrica, Econometric Society, vol. 63(6), pages 1255-80, November.
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