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Literature Cited
V. Statulevičius, “Density limit theorems and asymptotic expansions for the distributions of sums of independent stochastic variables,” Teor. Veroyatn. Prim.,10, No. 4, 645–659 (1965).
V. Statulevičius, “Limit theorems for sums of stochastic variables forming a Markov chain (I, II, III),” Liet. Matem. Rink.,9, No. 2, 345–362 (1969);9, No. 3, 635–672 (1969);10, No. 1, 161–169 (1970).
L. Saulis and V. Statulevičius, “Asymptotic expansion for the probabilities of large deviations of sums of stochastic variables forming a Markov chain,” Liet. Matem. Rink.,10, No. 2, 359–366 (1970).
V. Statulevičius, “On large deviations,” Z. Wahrscheinlichkeitstheor. Verw. Geb.,6, No. 2, 133–144 (1966).
L. Saulis and V. Statulevičius, “On large deviations for a distribution density function,” Math. Nachr.,70, 111–132 (1975).
Additional information
Institute of Physics and Mathematics, Academy of Sciences of the Lithuanian SSR. Translated from Lietuvos Matematikos Rinkinys (Litovskii Matematicheskii Sbornik), Vol. 16, No. 3, pp. 151–159, July–September, 1976.
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Saulis, L., Statulevičius, V. Large deviations in the local theorem for sums of stochastic variables forming a Markov chain. Lith Math J 16, 421–428 (1976). https://doi.org/10.1007/BF00970580
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DOI: https://doi.org/10.1007/BF00970580