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Theory of Probability and Mathematical Statistics
Theory of Probability and Mathematical Statistics
ISSN 1547-7363(online) ISSN 0094-9000(print)

 

The Erdös-Rényi law for renewal processes


Author: A. N. Frolov
Translated by: The author
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 68 (2003).
Journal: Theor. Probability and Math. Statist. 68 (2004), 157-166
MSC (2000): Primary 60F15; Secondary 60K05
Published electronically: May 11, 2004
MathSciNet review: 2000645
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Abstract: The Erdös-Rényi law and strong law of large numbers are proved for renewal processes constructed from nonidentically distributed random variables.


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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: http://dx.doi.org/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): April 4, 2002
Published electronically: 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
Article copyright: © Copyright 2004 American Mathematical Society