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Strong limit theorems for increments of renewal processes. / Frolov, A. N.

в: Journal of Mathematical Sciences , Том 128, № 1, 07.2005, стр. 2614-2624.

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Harvard

Frolov, AN 2005, 'Strong limit theorems for increments of renewal processes', Journal of Mathematical Sciences , Том. 128, № 1, стр. 2614-2624. https://doi.org/10.1007/s10958-005-0210-3

APA

Frolov, A. N. (2005). Strong limit theorems for increments of renewal processes. Journal of Mathematical Sciences , 128(1), 2614-2624. https://doi.org/10.1007/s10958-005-0210-3

Vancouver

Frolov AN. Strong limit theorems for increments of renewal processes. Journal of Mathematical Sciences . 2005 Июль;128(1):2614-2624. https://doi.org/10.1007/s10958-005-0210-3

Author

Frolov, A. N. / Strong limit theorems for increments of renewal processes. в: Journal of Mathematical Sciences . 2005 ; Том 128, № 1. стр. 2614-2624.

BibTeX

@article{d1f567cc8996479ebf7e9891c4df48be,
title = "Strong limit theorems for increments of renewal processes",
abstract = "We study the almost sure behavior of increments of renewal processes. We derive a universal form of norming functions in the strong limit theorems for increments of such processes. This result unifies the following well-known theorems for increments of renewal processes: the strong law of large numbers, Erdos-Renyi law, Csorgo-Revesz law, and law of the iterated logarithm. New results are obtained for processes with distributions of renewal times from domains of attraction of the normal law and completely asymmetric stable laws with index α (1, 2). Bibliography: 15 titles.",
author = "Frolov, {A. N.}",
note = "Funding Information: This research was partially supported by the Ministry of Education of the RF (project E02-1.0-56). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2005",
month = jul,
doi = "10.1007/s10958-005-0210-3",
language = "English",
volume = "128",
pages = "2614--2624",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Strong limit theorems for increments of renewal processes

AU - Frolov, A. N.

N1 - Funding Information: This research was partially supported by the Ministry of Education of the RF (project E02-1.0-56). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2005/7

Y1 - 2005/7

N2 - We study the almost sure behavior of increments of renewal processes. We derive a universal form of norming functions in the strong limit theorems for increments of such processes. This result unifies the following well-known theorems for increments of renewal processes: the strong law of large numbers, Erdos-Renyi law, Csorgo-Revesz law, and law of the iterated logarithm. New results are obtained for processes with distributions of renewal times from domains of attraction of the normal law and completely asymmetric stable laws with index α (1, 2). Bibliography: 15 titles.

AB - We study the almost sure behavior of increments of renewal processes. We derive a universal form of norming functions in the strong limit theorems for increments of such processes. This result unifies the following well-known theorems for increments of renewal processes: the strong law of large numbers, Erdos-Renyi law, Csorgo-Revesz law, and law of the iterated logarithm. New results are obtained for processes with distributions of renewal times from domains of attraction of the normal law and completely asymmetric stable laws with index α (1, 2). Bibliography: 15 titles.

UR - http://www.scopus.com/inward/record.url?scp=21544474710&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0210-3

DO - 10.1007/s10958-005-0210-3

M3 - Article

AN - SCOPUS:21544474710

VL - 128

SP - 2614

EP - 2624

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 75022007