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Vol 156
Pages:
171-172
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RUS
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.

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References

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

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