Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Computing Bayesian risk in classification of groups from multivariate populations

  • 32 Accesses


Estimators are constructed for Bayesian risk and error probability in classification of groups from a multivariate normal distribution.

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

Literature cited

  1. 1.

    R. A. Abusev and Ya. P. Lumel'skii, “The group classification problem,” in: Studies in Probabilistic-Statistical Modeling of Real Systems [in Russian], Moscow (1977).

  2. 2.

    R. A. Abusev and Ya. P. Lumel'skii, “Unbiased estimators and classification problems of multivariate normal populations,” Teor. Veroyatn. Primen.,25, No. 2 (1980).

  3. 3.

    R. A. Abusev, Some Problems of Point and Group Classification [in Russian], Thesis, Perm' (1979).

  4. 4.

    T. Anderson, An Introduction to Multivariate Statistics, Wiley, New York (1958).

  5. 5.

    S. A. Aivazyan, Z. I. Bezhaeva, and O. V. Staroverov, Classification of Multivariate Observations [in Russian], Moscow (1974).

  6. 6.

    B. Duran and P. Odell, Cluster Analysis, Springer, New York (1974).

  7. 7.

    I. A. Medvedkov and L. V. Popov, “A method for computation of classification error probabilities,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 3 (1981).

  8. 8.

    I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Moscow (1962).

  9. 9.

    K. Fukunaga, Introduction to Statistical Pattern Recognition, Academic Press, New York (1972).

Download references

Author information

Additional information

Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, pp. 65–72, 1986.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Abusev, R.A. Computing Bayesian risk in classification of groups from multivariate populations. J Math Sci 53, 587–591 (1991). https://doi.org/10.1007/BF01095364

Download citation


  • Normal Distribution
  • Error Probability
  • Multivariate Normal Distribution
  • Multivariate Population
  • Bayesian Risk