Optimization of the number of classes when estimating probability distributions of properties of natural objects

L. P. Vlasevskii

Vol 156

Pages:

171-172

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Research article

Surveying and geodesy

Optimization of the number of classes when estimating probability distributions of properties of natural objects

Authors:

L. P. Vlasevskii

About authors

Irkutsk State Technical University

Date submitted:

2003-06-08

Date accepted:

2003-07-21

Date published:

2004-09-09

Abstract

A review of approaches to determining the number of intervals in the construction of histograms is made. A contradiction between the accuracy and detail of representation of probability distribution curves of properties of natural objects is shown. A new analytical expression for the optimal number of classes that resolves this contradiction is proposed.

Власьевский Л.П. Оптимизация количества классов при оценке распределений вероятностей свойств природных объектов // Записки Горного института. 2004. Т. 156. С. 171-172.

Vlasevskii L.P. Optimization of the number of classes when estimating probability distributions of properties of natural objects // Journal of Mining Institute. 2004. Vol. 156. p. 171-172.

References

Новицкий П.В. Оценка погрешности результатов измерений / П.В.Новицкий, И.А.Зограф. Л.: Энергоатомиздат, 1991. 304 с.
Хальд А. Математическая статистика с техническими приложениями. М.: Изд-во иностранной литературы, 1956. 664 с.
Sturgess H.A. The choice of classic intervals // J. American statist.- Ass.- march 1926. 47 p.

Optimization of the number of classes when estimating probability distributions of properties of natural objects

Abstract

References

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