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

Part of the Lecture Notes in Mathematics book series (LNM,volume 982)

Keywords

  • Probability Measure
  • Function Space
  • Service Time
  • Random Element
  • Interarrival Time

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References

  1. Whitt W. Weak convergence of probability measures on the function space D[0,∞). Technical report, Yale University, 1970.

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  2. 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.

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  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).

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  4. Billingsley P. Convergence of probability measures. N.Y.: J.Wiley, 1968.

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  5. Kennedy D.P. The continuity of the single server queue.-J.Appl.Probab., 1972, v. 9, No. 2, p. 370–381.

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  6. Zolotarev V.M. Metric distances in spaces of random variables and their distributions.-Math.USSR Sb., v. 30, No. 3, p. 373–401.

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© 1983 Springer-Verlag

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Kalashnikov, V.V. (1983). A complete metric in the function space D[0, ∞) and its application. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 982. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082061

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  • DOI: https://doi.org/10.1007/BFb0082061

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12278-4

  • Online ISBN: 978-3-540-39598-0

  • eBook Packages: Springer Book Archive