Skip to main content
SpringerLink
Log in

Operator methods in the problem of estimating the asymptotics of the time of the first hit for the birth and death process

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

Estimates are established for the exponential asymptotics of the time of the first hit of a certain leveln for the birth and death process.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. B. V. Gnedenko, Yu. K. Belyaev, and A. D. Solov'ev,Mathematical Methods of Reliability Theory, Probability and Mathematical Statistics, Academic Press, New York (1969).

    Google Scholar 

  2. N. V. Kartashov, “Estimates of the geometric asymptotics of Markov times on homogeneous chains,”Teor. Ver. Mat. Statist., Issue 37, 66–67 (1987).

    Google Scholar 

  3. Yu. I. Mazhuga, “An estimate of the distribution of the stopping time for a continuous homogeneous Markov process,”Teor. Ver. Mat. Statist., Issue 39, 83–87 (1988).

    Google Scholar 

  4. Yu. I. Mazhuga,Estimates of the Asymptotics of Markov Times in Terms of the Potential of a Nonterminating Markov Process [in Russian], Preprint No. 88.45, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1988).

    Google Scholar 

  5. B. V. Gnedenko (editor),Problems in the Mathematical Theory of Reliability [in Russian], Radio i Svyaz', Moscova (1983).

    Google Scholar 

  6. N. V. Kartashov, “Operator methods in limit theorems for Markov processes,”Teor. Ver. Primen.,29, No. 4, 792–793 (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. SSC PIKOM, Kiev

    Yu. I. Mazhuga

Authors
  1. Yu. I. Mazhuga
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 8, pp. 1104–1108, August, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mazhuga, Y.I. Operator methods in the problem of estimating the asymptotics of the time of the first hit for the birth and death process. Ukr Math J 45, 1230–1235 (1993). https://doi.org/10.1007/BF01070970

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01070970

Keywords

Search

Navigation