Geodesic
Bicriterial method for constructing and evaluating the quality of the histograms
Informacionnye tehnologii i vyčislitelnye sistemy, no. 4 (2012), pp. 22-31.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article we propose a new method of constructing a histogram based on the evaluation of their quality bicriterial. One of the evaluation criteria is the reliability of a segment a histogram, and the second one is the consistency of the empirical distribution function and the distribution function, constructed from the histogram. The value of the first criterion increases with decreasing the number of half-open interval histograms, while the value of the second criterion increases with the number of half-open interval. Comprehensive quality criterion histogram which we introduced in the article allows for the first time to assess the quality of the histogram. Maximizing the value of the proposed criterion leads to the determination of the optimal number of segments of the histogram, which improves the reliability of the decisions of the received based on the sample, in particular, the approximation of the observed random variable to some well-known law of distribution.
Mots-clés : histogram
Keywords: statistical evaluation of the sample, reliability of the histogram, number of half-open interval of the histogram, method for assessing the quality of the histogram, method for constructing a histogram of the sample. 
@article{ITVS_2012_4_a2,
     author = {V. N. Petrushin and M. V. Ulyanov and I. A. Chertikhina and E. V. Nikulchev},
     title = {Bicriterial method for constructing and evaluating the quality of the histograms},
     journal = {Informacionnye tehnologii i vy\v{c}islitelnye sistemy},
     pages = {22--31},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ITVS_2012_4_a2/}
}
TY  - JOUR
AU  - V. N. Petrushin
AU  - M. V. Ulyanov
AU  - I. A. Chertikhina
AU  - E. V. Nikulchev
TI  - Bicriterial method for constructing and evaluating the quality of the histograms
JO  - Informacionnye tehnologii i vyčislitelnye sistemy
PY  - 2012
SP  - 22
EP  - 31
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ITVS_2012_4_a2/
LA  - ru
ID  - ITVS_2012_4_a2
ER  - 
%0 Journal Article
%A V. N. Petrushin
%A M. V. Ulyanov
%A I. A. Chertikhina
%A E. V. Nikulchev
%T Bicriterial method for constructing and evaluating the quality of the histograms
%J Informacionnye tehnologii i vyčislitelnye sistemy
%D 2012
%P 22-31
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ITVS_2012_4_a2/
%G ru
%F ITVS_2012_4_a2
V. N. Petrushin; M. V. Ulyanov; I. A. Chertikhina; E. V. Nikulchev. Bicriterial method for constructing and evaluating the quality of the histograms. Informacionnye tehnologii i vyčislitelnye sistemy, no. 4 (2012), pp. 22-31. http://geodesic.mathdoc.fr/item/ITVS_2012_4_a2/