Skip to main content
Log in

Comparison of empirical and theoretical distribution functions of a random variable on the basis of a nonparametric classifier

  • Analysis and Synthesis of Signals and Images
  • Published:
Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

A possibility of using nonparametric algorithms of pattern recognition in the problem of comparing empirical and theoretical distribution functions of random variables is considered. Results of computational experiments are analyzed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. V. Lapko and V. A. Lapko, “Nonparametric Algorithms of Pattern Recognition in the Problem of Testing a Statistical Hypothesis on Identity of Two Distribution Laws of Random Variables,” Avtometriya 46(6), 47–53 (2010) [Optoelectr., Instrum. Data Process. 46 (6), 545–550 (2010).]

    MathSciNet  Google Scholar 

  2. A. V. Lapko and V. A. Lapko, “Application of a Nonparametric Algorithm of Pattern Recognition in the Problem of Testing the Hypothesis on Distributions of Random Variables,” Sist. Upravl. Informats. Tekhnol. 41(3), 8–11 (2010).

    Google Scholar 

  3. V. S. Pugachev, Probability Theory and Mathematical Statistics (Nauka, Moscow, 1979) [in Russian].

    MATH  Google Scholar 

  4. A. V. Lapko, V. A. Lapko, M. I. Sokolov, and S. V. Chentsov, Nonparametric Classification Systems (Nauka, Novosibirsk, 2000) [in Russian].

    Google Scholar 

  5. E. Parzen, “On Estimation of a Probability Density Function and Mode,” Ann. Math. Statist. 33(3), 1065–1076 (1962).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. V. A. Epanechnikov, “Nonparametric Estimate of the Multi-Dimensional Probability Density,” Teor. Veroyatn. Primen. 14(1), 156–161 (1969).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. V. Lapko.

Additional information

Original Russian Text © A.V. Lapko, V.A. Lapko, 2012, published in Avtometriya, 2012, Vol. 48, No. 1, pp. 45–49.

About this article

Cite this article

Lapko, A.V., Lapko, V.A. Comparison of empirical and theoretical distribution functions of a random variable on the basis of a nonparametric classifier. Optoelectron.Instrument.Proc. 48, 37–41 (2012). https://doi.org/10.3103/S8756699012010050

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S8756699012010050

Keywords

Navigation