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An extension of renewal theory. (English) Zbl 0047.12403


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[1] P. Erdös, W. Feller, and H. Pollard, A property of power series with positive coefficients, Bull. Amer. Math. Soc. 55 (1949), 201 – 204. · Zbl 0032.27802
[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. 63 (1948), 422 – 438. · Zbl 0041.45405
[4] David Blackwell, A renewal theorem, Duke Math. J. 15 (1948), 145 – 150. · Zbl 0030.20102
[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. · Zbl 0042.37502
[6] K. L. Chung and J. Wolfowitz, On a limit theorem in renewal theory, Ann. of Math. (2) 55 (1952), 1 – 6. · Zbl 0047.12402
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