Skip to main content
Log in

Probability characteristics of the absolute maximum of generalized rayleigh stochastic process

  • Published:
Radiophysics and Quantum Electronics Aims and scope

Abstract

We obtain the limiting laws of distribution of the absolute maximum of the generalized Rayleigh random process. Using the methods of statistical modeling, we show that the asymptotic approximations are in good agreement with the actual distributions over a wide range of parameters of the random process.

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. N. Malakhov,Cumulant Analysis of Random Non-Gaussian Processes and Their Transformations [in Russian], Sovetskoe Radio, Moscow (1978).

    Google Scholar 

  2. M. A. Ostrovskii,Izv. Vyssh. Uchebn. Zaved., Radiofiz.,40, No. 11, 1416 (1988).

    Google Scholar 

  3. V. I. Tikhonov,Statistical Radio Engineering [in Russian], Radio i Svyaz’, Moscow (1982).

    Google Scholar 

  4. V. I. Tikhonov, and V. I. Khimenko,Outliers of Random Process Trajectories [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  5. B. R. Levin,Theoretical Foundations of Statistical Radio Engineerign [in Russian], Radio i Svyaz’, Moscow (1989).

    Google Scholar 

  6. R. L. Stratonovich,Selected Problems of Fluctuation Theory in Radio Engineering [in Russian], Sovetskoe Radio, Moscow (1961).

    Google Scholar 

  7. A. P. Trifonov,Signal Detection Theory [in Russian], Radio i Svyaz’, Moscow (1984).

    Google Scholar 

  8. A. P. Trifonov and Yu. S. Shinakov,Joint Discrimination of Signals and Estimation of their Parameters against Background [in Russian], Radio i Svyaz’, Moscow (1986).

    Google Scholar 

  9. H. Cramer, and M. Leandbetter,Stationary and Related Stochastic Processes. Sample Function Properties and their Applications [Russian translation], Mir, Moscow, 1969.

    Google Scholar 

  10. S. M. Rytov,Introduction to Statistical Radiophysics. Random Processes [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  11. V. V. Bykov,Numerical Modeling in Statistical Radio Engineerign [in Russian], Sovetskoe Radio, Moscow (1971).

    Google Scholar 

  12. I. A. McFadden,J. Roy. Stat. Soc.,B29, 489 (1967).

    MATH  Google Scholar 

  13. M. V. Fedoryuk,The Saddle-Point Method [in Russian], Nauka, Moscow (1977).

    MATH  Google Scholar 

Download references

Authors

Additional information

Voronezh State University, Voronezh, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 42, No. 12, pp. 1213–1222, September 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Trifonov, A.P., Chernoyarov, O.V. Probability characteristics of the absolute maximum of generalized rayleigh stochastic process. Radiophys Quantum Electron 42, 1070–1079 (1999). https://doi.org/10.1007/BF02677131

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02677131

Keywords

Navigation