Literature Cited
A. A. Borovkov, “Boundary-value problems for random walks and large deviations in functional spaces,” Teoriya Veroyatn. i Ee Primen.,12, No. 4, 635–654 (1967).
A. A. Borovkov, “Limit theorems for random walks with boundaries,” Proc. Sixth Berkeley Symp. Math. Statist. and Probability, 1970–1971, Univ. of Calif. Press (1971).
A. A. Mogul'skii, “Large deviations in space C(0, 1) for sums given on a finite Markov chain,” Sib. Matem. Zh.,15, No. 1, 61–75 (1974).
A. A. Mogul'skii, “Large and small deviations in trajectory space,” Reports Abstracts All-Union Conf. Probability Theory and Math. Statist., Vil'nyus, June 25–30, 1973 [in Russian], Vol. 2, Vil'nyus (1973), pp. 83–84.
A. D. Venttsel', “Limit theorems on large deviations for random Markov processes,” Reports Abstracts All-Union Conf. Probability Theory and Math. Statist., Vil'nyus, June 25–30, 1973 [in Russian], Vol. 1, Vil'nyus (1973), pp. 133–136.
Yu. V. Linnik, “Limit theorems for sums of independent variables when large deviations are taken into account.I,” Teoriya Veroyatn. i Ee Primen.,6, No. 2, 145–163, (1961).
A. A. Mogul'skii, “Factorizational identities for processes with independent increments, given on a finite Markov chain,” in: Probability Theory and Mathematical Statistics [in Russian], No. 11, Izd. Kievsk. Univ., Kiev (1974).
I. I. Gikhman and A. V. Skorokhod, Theory of Random Processes [in Russian], Vol. 1, Nauka, Moscow (1972).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 2, pp. 314–327, March–April, 1975.
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Mogul'skii, A.A. Large deviations in trajectory space for sequences and processes with stationary increments. Sib Math J 16, 242–252 (1975). https://doi.org/10.1007/BF00967508
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DOI: https://doi.org/10.1007/BF00967508