Fluctuation theory of recurrent events
HTML articles powered by AMS MathViewer
- by William Feller PDF
- Trans. Amer. Math. Soc. 67 (1949), 98-119 Request permission
References
- David Blackwell, A renewal theorem, Duke Math. J. 15 (1948), 145–150. MR 24093
- K. L. Chung and G. A. Hunt, On the zeros of $\sum ^n_1\pm 1$, Ann. of Math. (2) 50 (1949), 385–400. MR 29488, DOI 10.2307/1969462
- W. Doeblin, Sur l’ensemble de puissances d’une loi de probabilité, Studia Math. 9 (1940), 71–96 (French, with Ukrainian summary). MR 5541, DOI 10.4064/sm-9-1-71-96
- P. Erdös, W. Feller, and H. Pollard, A property of power series with positive coefficients, Bull. Amer. Math. Soc. 55 (1949), 201–204. MR 27867, DOI 10.1090/S0002-9904-1949-09203-0
- W. Feller, The law of the iterated logarithm for identically distributed random variables, Ann. of Math. (2) 47 (1946), 631–638. MR 17894, DOI 10.2307/1969225
- W. Feller, A limit theorem for random variables with infinite moments, Amer. J. Math. 68 (1946), 257–262. MR 16569, DOI 10.2307/2371837
- Philip Hartman and Aurel Wintner, On the law of the iterated logarithm, Amer. J. Math. 63 (1941), 169–176. MR 3497, DOI 10.2307/2371287
- Paul Lévy, Sur certains processus stochastiques homogènes, Compositio Math. 7 (1939), 283–339 (French). MR 919 —, Théorie de l’addition des variables aléatoires, Paris, Gauthier-Villars, 1937. R. von Mises, Das Problem der Iterationen, Zeitschrift für Angewandte Mathematik und Mechanik, vol. 1 (1921) pp. 298-307.
- Harry Pollard, The representation of $e^{-x^{\lambda }}$ as a Laplace integral, Bull. Amer. Math. Soc. 52 (1946), 908–910. MR 18286, DOI 10.1090/S0002-9904-1946-08672-3
- Harry Pollard, The completely monotonic character of the Mittag-Leffler function $E_a(-x)$, Bull. Amer. Math. Soc. 54 (1948), 1115–1116. MR 27375, DOI 10.1090/S0002-9904-1948-09132-7
- Georg Pólya, Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz, Math. Ann. 84 (1921), no. 1-2, 149–160 (German). MR 1512028, DOI 10.1007/BF01458701
- Sven Täcklind, Fourieranalytische Behandlung vom Erneuerungsproblem, Skand. Aktuarietidskr. 28 (1945), 68–105 (German). MR 13838, DOI 10.1080/03461238.1945.10404920 E. C. Titchmarsh, The theory of functions, 2d ed., Oxford University Press, 1939. J. V. Uspensky, Introduction to mathematical probability, New York, McGraw-Hill, 1937.
Additional Information
- © Copyright 1949 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 67 (1949), 98-119
- MSC: Primary 60.0X
- DOI: https://doi.org/10.1090/S0002-9947-1949-0032114-7
- MathSciNet review: 0032114