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Convergence of distributions of integral functionals

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Literature Cited

  1. A. A. Borovkov and E. A. Pecherskii (E. A. Pečerski), “Weak convergence of measures and random processes,” Z. Wahrschenlichkeitstheorie und Verw. Geb.,28, No. 1, 5–22 (1974).

    Google Scholar 

  2. A. A. Borovkov and E. A. Pecherskii, “Criteria of weak convergence of nonnegative measures and τ-topological spaces,” Dokl. Akad. Nauk SSSR,208, No, 18–20 (1973).

    Google Scholar 

  3. A. D. Aleksandrov (A. D. Alexandroff), “Additive set functions in abstract spaces, I,” Matem. Sb.,8, No. 2, 307–348 (1940); II.9, No. 3, 563–628 (1941); III, Nos. 2–3, 169–238 (1943).

    Google Scholar 

  4. B. V. Gnedenko and A. N. Kolmogorov, Limit Distributions for Sums of Dependent Random Variables [in Russian], Gostekhizdat, Moscow-Leningrad (1949).

    Google Scholar 

  5. P. Billingsley, Convergence of Probability Measures, Wiley, New York (1968).

    Google Scholar 

  6. I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Random Processes [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  7. J. L. Doob, Stochastic Processes, Wiley, New York (1953).

    Google Scholar 

  8. L. Sh. Grinblat, “Limit theorems for functionals of measurable random processes,” Dokl. Akad. Nauk SSSR,181, No. 2, 275–277 (1968).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 5, pp. 899–915, September–October, 1975.

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Borovkov, A.A., Pecherskii, E.A. Convergence of distributions of integral functionals. Sib Math J 16, 685–698 (1975). https://doi.org/10.1007/BF00967100

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