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A complete metric in the function space D[0, ∞) and its application

  • V. V. Kalashnikov
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 982)

Keywords

Probability Measure Function Space Service Time Random Element Interarrival Time 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Whitt W. Weak convergence of probability measures on the function space D[0,∞). Technical report, Yale University, 1970.Google Scholar
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    Lindvall T. Weak convergence of probability measures and random functions in the function space D[0,∞).-J.Appl. Probab., 1973, v. 10, p. 109–121.MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Kalashnikov V.V. On a mertization of the space D[0,∞).-In: Problemy ustoičivosti stohastičeskih modelei. Moscow:Institute for Systems studies, 1982 (in Russian).Google Scholar
  4. 4.
    Billingsley P. Convergence of probability measures. N.Y.: J.Wiley, 1968.zbMATHGoogle Scholar
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    Kennedy D.P. The continuity of the single server queue.-J.Appl.Probab., 1972, v. 9, No. 2, p. 370–381.MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    Zolotarev V.M. Metric distances in spaces of random variables and their distributions.-Math.USSR Sb., v. 30, No. 3, p. 373–401.Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • V. V. Kalashnikov
    • 1
  1. 1.MoscowRussia

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