Keywords
- Probability Measure
- Function Space
- Service Time
- Random Element
- Interarrival Time
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References
Whitt W. Weak convergence of probability measures on the function space D[0,∞). Technical report, Yale University, 1970.
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.
Kalashnikov V.V. On a mertization of the space D[0,∞).-In: Problemy ustoičivosti stohastičeskih modelei. Moscow:Institute for Systems studies, 1982 (in Russian).
Billingsley P. Convergence of probability measures. N.Y.: J.Wiley, 1968.
Kennedy D.P. The continuity of the single server queue.-J.Appl.Probab., 1972, v. 9, No. 2, p. 370–381.
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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