On the frequency of small fractional parts in certain real sequences.
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- by William J. LeVeque
- Trans. Amer. Math. Soc. 87 (1958), 237-260
- DOI: https://doi.org/10.1090/S0002-9947-1958-0095814-4
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References
- H. Cramér, Methods of mathematical statistics, Princeton University Press, 1946.
- J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896
- William Feller, An Introduction to Probability Theory and Its Applications. Vol. I, John Wiley & Sons, Inc., New York, N.Y., 1950. MR 0038583 G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge University Press, 1934.
- Wassily Hoeffding and Herbert Robbins, The central limit theorem for dependent random variables, Duke Math. J. 15 (1948), 773–780. MR 26771
- A. Khintchine, Einige Sätze über Kettenbrüche, mit Anwendungen auf die Theorie der Diophantischen Approximationen, Math. Ann. 92 (1924), no. 1-2, 115–125 (German). MR 1512207, DOI 10.1007/BF01448437
- A. Khintchine, Zur metrischen Kettenbruchtheorie, Compositio Math. 3 (1936), 276–285 (German). MR 1556944
- A. Kolmogoroff, Über das Gesetz des iterierten Logarithmus, Math. Ann. 101 (1929), no. 1, 126–135 (German). MR 1512520, DOI 10.1007/BF01454828 P. Lévy, Sur le développement en fraction continue d’un nombre choisie au hasard, Comp. Math. vol. 3 (1936) pp. 286-303. —, Théorie de l’addition des variables aléatoires, Paris, Gauthier-Villars, 1937.
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 87 (1958), 237-260
- MSC: Primary 10.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0095814-4
- MathSciNet review: 0095814