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On Comparison of Distorted Histograms

P. 159–166.
Lepskiy A.

There are many tasks where the comparison of histograms (distributions, fuzzy numbers) is required with help of relationship of type ”more-less”. There are many approaches to solving this problem. But the histograms may be distorted. Then we have to find the conditions on the distortions under which the comparison of the two histograms is not changed. The solution of the problem is searched via three popular probabilistic methods of comparison.

Language: English
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Keywords: stability of comparisoncomparison of distributionsdistortions of distributions
Publication based on the results of:
Theoretical and numerical study of advanced mathematical models in the social, economic, political and financial fields (2014)

In book

Strengthening Links Between Data Analysis and Soft Computing
Strengthening Links Between Data Analysis and Soft Computing
Vol. 315. , Dordrecht, L., Heidelberg, NY: Springer, 2015.
Similar publications
Сравнение искаженных гистограмм вероятностными методами
Lepskiy A., Машинное обучение и анализ данных 2014 Т. 1 № 8 С. 949–965
This paper is devoted to study of stability of comparison of histograms with help of different probability methods.   Background: The comparison of histograms is necessary in many applied problems of data processing. The comparison of type ”more-less” is considered in this paper. But the histograms may be distorted. The nature of these distortions can ...
Added: October 1, 2014
On the Stability of Comparing Histograms with Help of Probabilistic Methods
Lepskiy A., , in: Procedia Computer Science. 2nd International Conference on Information Technology and Quantitative Management, ITQM 2014. National Research University Higher School of Economics (HSE) in Moscow (Russia) on June 3-5, 2014Vol. 31.: Amsterdam: Elsevier, 2014. P. 597–605.
We study the problem of the stability of probabilistic methods of comparing histograms in case of their distortions. The comparing of histograms is given by preorder relation on the set of histograms. This relation should to be agreed with the condition of ordering of arguments histograms by ascendingly their importance. The pointwise interval uncorrelated changes ...
Added: October 1, 2014
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