Article PDF
Avoid common mistakes on your manuscript.
References
Baum, L., Katz, M.: Convergence rates in the law of large numbers. Trans. Arner. math. Soc. 120, 108–123 (1965).
Breiman, L.: On the tail behavior of sums of independent random variables. Z.Wahrscheinlichkeitstheorie verw. Geb. 9, 20–25 (1967).
Breiman, L.: Probability. Reading, Mass.: Addison-Wesley 1968.
Davis, J.: Convergence rates for probabilities of moderate deviations. Annals Math. Statistics 39, 2016–2028 (1968).
Feller, W.: An Introduction to Probability Theory and Its Applications, Vol. II. New York: John Wiley 1966.
Feller, W.: A limit theorem for random variables with infinite moments. Amer. J. Math. 68, 257–262 (1946).
Hartman, P., Wintner, A.: On the law of the iterated logarithm. Amer. J. Math. 63, 169–176 (1941).
Heyde, C.C.: On almost sure convergence of independent random variables. Sankhya 30, 353–358 (1968).
Kiefer, J.: On the deviations in the Skorohod-Strassen approximation scheme. Z.Wahrscheinlichkeitstheorie verw. Geb. 13, 321–332 (1969).
Lamperti, J.: Probability. New York: Benjamin 1966.
Petrov, V.V.: An estimate of the deviation of the distribution of a sum of independent random variables from the normal law. Soviet Math. Doklady 6, 242–244 (1965).
Petrov, V.V.: On the law of the iterated logarithm without assumptions about existence of moments. Proc. Nat. Acad. Sci. U.S.A. 59, 1068–1072 (1968).
Pinsky, M.: An elementary derivation of Khintchine's estimate for large deviations. Proc. Amer. Math. Soc. 22, 288–290 (1969).
Strassen, V.: A converse to the law of the iterated logarithm. Z.Wahrscheinlichkeitstheorie verw. Geb. 4, 265–268 (1966).
Loève, M.: Probability Theory. New York: Van Nostrand 1960.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kostka, D.G. Deviations in the Skorohod-strassen approximation scheme. Z. Wahrscheinlichkeitstheorie verw Gebiete 24, 139–153 (1972). https://doi.org/10.1007/BF00532540
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00532540