Precise asymptotics in some strong limit theorems for multidimensionally indexed random variables


Convergence rates for probabilities of moderate deviations for sums of random variables with multidimensional indices



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Convergence rates for probabilities of moderate deviations for sums of random variables with multidimensional indices

  • Ann. Probab., 8 (1980), pp. 298–313



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    • A. Gut

    • Strong laws for independent identically distributed random variables indexed by a sector

    • Ann. Probab., 11 (1983), pp. 569–577

    • View Record in Scopus

     | Cited By in Scopus (11)


      • [10]

      • A. Gut, A. Spătaru

      • Precise asymptotics in the Baum–Katz and Davis law of large numbers

      • J. Math. Anal. Appl., 248 (2000), pp. 233–246

      • Article


     PDF (108 K)

    View Record in Scopus
     | Cited By in Scopus (74)


      • [11]

      • A. Gut, A. Spătaru

      • Precise asymptotics in the law of the iterated logarithm

      • Ann. Probab., 28 (2000), pp. 1870–1883



      • [12]

      • G.H. Hardy, E.M. Wright

      • An Introduction to the Theory of Numbers (3rd Edition)Oxford University Press, Oxford (1954)




      • [13]

      • C.C. Heyde

      • A supplement to the strong law of large numbers

      • J. Appl. Probab., 12 (1975), pp. 173–175




      • [14]

      • P.L. Hsu, H. Robbins

      • Complete convergence and the law of large numbers

      • Proc. Nat. Acad. Sci. USA, 33 (1947), pp. 25–31




      • [15]

      • J. Hüsler, A remark on the strong law of large numbers for random variables on partially ordered sets, Unpublished manuscript, University of Bern, 1978.




      • [16]

      • I.A. Ibragimov, Yu.V. Linnik

      • Independent and Stationary Sequences of Random VariablesWolters-Noordhoff, Groningen (1971)



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