A renewal theorem

Tatsuo KAWATA

doi:10.2969/jmsj/00820118

A renewal theorem

Tatsuo KAWATA

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JOURNAL FREE ACCESS

1956 Volume 8 Issue 2 Pages 118-126

DOI https://doi.org/10.2969/jmsj/00820118

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Published: 1956 Received: November 05, 1955 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) D. Blackwell, A renewal theorem, Duke Math. Journ., 15 (1948)
2) D. Blackwell, Extension of a renewal theorem, Pacific Journ. Math., 3 (1953)
3) K. L. Chung and H. Pollard, An extension of renewal theorem, Proc. Amer. Math. Soc. 3 (1952)
4) D. R. Cox and W. L. Smith, A direct proof of a fundamental theorem of renewal theory, Skandinavisk Aktuartidskrift, 1953
5) W. L. Smith, Asymptotic renewal theorems, Proc. Royal Soc. Edinburgh, Section A, 64 (1953-54)
6) J. L. Doob, Renewal theory from the point of view of the theory of probability, Trans. Amer. Math. Soc. 63 (1947)
7) W. Feller, On the integral equation of renewal theory, Ann. Math. Stat., 12 (1941)
8) W. Feller, Fluctuation theory of recurrent events, Trans. Amer. Math. Soc. 67 (1949)
9) S. Karlin, On the renewal equation, Pacific Journ. Math. 5 (1955)
10) S. Täcklind, Fourier analytische Behandlung vom Erneuerungsproblem, Skandinavisk Aktuartidskrift 28 (1945)

Right : [1] D. Blackwell, A renewal theorem, Duke Math. Journ., 15 (1948)
[2] D. Blackwell, Extension of a renewal theorem, Pacific Journ. Math., 3 (1953)
[3] K. L. Chung and H. Pollard, An extension of renewal theorem, Proc. Amer. Math. Soc. 3 (1952)
[4] D. R. Cox and W. L. Smith, A direct proof of a fundamental theorem of renewal theory, Skandinavisk Aktuartidskrift, 1953
[5] W. L. Smith, Asymptotic renewal theorems, Proc. Royal Soc. Edinburgh, Section A, 64 (1953-54)
[6] J. L. Doob, Renewal theory from the point of view of the theory of probability, Trans. Amer. Math. Soc. 63 (1947)
[7] W. Feller, On the integral equation of renewal theory, Ann. Math. Stat., 12 (1941)
[8] W. Feller, Fluctuation theory of recurrent events, Trans. Amer. Math. Soc. 67 (1949)
[9] S. Karlin, On the renewal equation, Pacific Journ. Math. 5 (1955)
[10] S. Täcklind, Fourier analytische Behandlung vom Erneuerungsproblem, Skandinavisk Aktuartidskrift 28 (1945)

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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