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An extension of renewal theory


Authors: Kai Lai Chung and Harry Pollard
Journal: Proc. Amer. Math. Soc. 3 (1952), 303-309
MSC: Primary 60.0X
DOI: https://doi.org/10.1090/S0002-9939-1952-0048734-5
MathSciNet review: 0048734
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  • [1] P. Erdös, W. Feller, and H. Pollard, A theorem on power series, Bull. Amer. Math. Soc. vol. 55 (1949) pp. 201-204. MR 0027867 (10:367d)
  • [2] A. Kolmogorov, Anfangsgrunde der Theorie der Markoffschen Ketten mit unendlichen vielen möglichen Zuständen, Rec. Math. (Mat. Sbornik) N.S. vol. 1 (1936) pp. 607-617; the proofs are contained in another paper in Russian: Bulletin de l'Université d'État à Moscou (A) vol. 1 (1937) pp. 1-15.
  • [3] J. L. Doob, Renewal theory from the point of view of the theory of probability, Trans. Amer. Math. Soc. vol. 63 (1948) pp. 422-438. MR 0025098 (9:598d)
  • [4] D. Blackwell, A renewal theorem, Duke Math. J. vol. 15 (1948) pp. 145-151. MR 0024093 (9:452a)
  • [5] K. L. Chung and W. H. J. Fuchs, On the distribution of values of sums of random variables, Memoirs of the American Mathematical Society, no. 6.
  • [6] K. L. Chung and J. Wolfowitz, On a limit theorem in renewal theory, Ann. of Math. vol. 55 (1952) pp. 1-6. MR 0044769 (13:475e)

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DOI: https://doi.org/10.1090/S0002-9939-1952-0048734-5
Article copyright: © Copyright 1952 American Mathematical Society

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