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On the Preservation of Comparison of Distorted Histograms

Author

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  • Alexander Lepskiy

    (National Research University, Higher School of Economics, Moscow, Russia)

Abstract

The necessity of comparison of histograms with the help of relationship of type “more or less” arises in many problems of decision-making. There are many approaches to solve this problem. But the histograms can be distorted. Then, we have to find the conditions on the distortions under which the comparison of the two histograms does not change. The solution of this problem is researched in the paper with respect to three popular probabilistic methods of comparison.

Suggested Citation

  • Alexander Lepskiy, 2018. "On the Preservation of Comparison of Distorted Histograms," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(01), pages 339-355, January.
    • Handle: RePEc:wsi:ijitdm:v:17:y:2018:i:01:n:s0219622017400028
    DOI: 10.1142/S0219622017400028
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    Cited by:

    1. Gorbunova, A.V. & Lebedev, A.V., 2022. "Nontransitivity of tuples of random variables with polynomial density and its effects in Bayesian models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 181-192.

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