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The Erdös-Rényi law for renewal processes
Author(s):
A.
N.
Frolov
Translated by:
The author
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika,
vipusk 68
(2003).
Journal:
Theor. Probability and Math. Statist.
No. 68
(2004),
157-166.
MSC (2000):
Primary 60F15;
Secondary 60K05
Posted:
May 11, 2004
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Additional information
Abstract:
The Erdös-Rényi law and strong law of large numbers are proved for renewal processes constructed from nonidentically distributed random variables.
References:
-
- 1.
- A. A. Borovkov, Probability theory, ``Nauka'', Moscow, 1986; English transl., Gordon and Breach, Amsterdam, 1998. MR 88c:60001; MR 2000f:60001
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- 6.
- A. N. Frolov, A. I. Martikainen, and J. Steinebach, Limit theorems for maxima of sums and renewal processes, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 278 (2001), 261-274; English transl., J. Math. Sci. 118 (2004), no. 16, 5658-5666. MR 2002j:60049
- 7.
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- 11.
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- 12.
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- 13.
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- 14.
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Additional Information:
A.
N.
Frolov
Affiliation:
Department of Mathematics and Mechanics, St. Petersburg State University, Bibliotechnaya Pl. 2, Staryi Petergof, St. Petersburg 198904, Russia
Email:
Andrei.Frolov@pobox.spbu.ru
DOI:
10.1090/S0094-9000-04-00593-9
PII:
S 0094-9000(04)00593-9
Keywords:
Renewal processes,
increments,
Erd\"os--R\'enyi law of large numbers
Received by editor(s):
4/APR/2002
Posted:
May 11, 2004
Additional Notes:
Partially supported by RFFI, grant 02-01-00779, and Ministry of Education of the Russian Federation, grant E00-1.0-82
Copyright of article:
Copyright
2004,
American Mathematical Society
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