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B. Belkin, “An invariance principle for conditioned random walk attracted to stable law,” Z. Wahr. Verw. Gebiete,21, 45–64 (1972).
D. L. Iglehart, “Functional central limit theorems for random walks conditioned to stay positive,” Ann. Prob.,2, 608–619 (1974).
D. P. Kennedy, “Limiting diffusions for the conditioned M¦G¦1 queue,” J. Appl. Prob.,11, 355–362 (1974).
A. V. Skorokhod, “Limit theorems for random processes with independent increments,” Teor. Veroyatn. Primen.,2, 145–177 (1957).
A. V. Pechinkin, “Some limit distributions for processes with independent increments,” Teor. Veroyatn. Primen.,23, 179–186 (1977).
P. Billingsley, Convergence of Probability Measures, Wiley, New York (1968).
I. I. Gihman and A. V. Skorokhod, The Theory of Stochastic Processes, Springer-Verlag (1975).
D. L. Iglehart and W. Whitt., “The equivalence of functional central limit theorems for counting processes and associated partial sums,” Ann. Math. Stat.,42, 1372–1378, (1971).
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 2, pp. 220–222, March–April, 1980.
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Zyukov, M.E. Invariance principle for processes with independent increments, conditioned to be positive. Ukr Math J 32, 133–135 (1980). https://doi.org/10.1007/BF01092788
- Invariance Principle
- Independent Increment