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Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. II. / Mogulskii, Anatolii Alfredovich; Prokopenko, Evgenii Igorevich.

In: Сибирские электронные математические известия, Vol. 15, 01.01.2018, p. 503-527.

Research output: Contribution to journal › Article › peer-review

Harvard

Mogulskii, AA & Prokopenko, EI 2018, 'Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. II', Сибирские электронные математические известия, vol. 15, pp. 503-527. https://doi.org/10.17377/semi.2018.15.042

APA

Mogulskii, A. A., & Prokopenko, E. I. (2018). Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. II. Сибирские электронные математические известия, 15, 503-527. https://doi.org/10.17377/semi.2018.15.042

Vancouver

Mogulskii AA, Prokopenko EI. Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. II. Сибирские электронные математические известия. 2018 Jan 1;15:503-527. doi: 10.17377/semi.2018.15.042

Author

Mogulskii, Anatolii Alfredovich ; Prokopenko, Evgenii Igorevich. / Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. II. In: Сибирские электронные математические известия. 2018 ; Vol. 15. pp. 503-527.

BibTeX

@article{d2bc4cbb33a044e3be69c269d4e8be24,
title = "Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. II",
abstract = "In the work, which consists of 4 papers (the article and [1] - [3]), we obtain integro-local limit theorems in the phase space for multidimensional compound renewal processes, when Cramer's condition holds. In the part II (the article) we consider the so-called first renewal process Z(t) in an irregular region.",
keywords = "Compound multidimensional renewal process, Cramer's condition, Deviation (rate) function, First renewal process, Integro-local limit theorems, Large deviations, Renewal measure, Second deviation (rate) function, compound multidimensional renewal process, first renewal process, large deviations, integro-local limit theorems, renewal measure, Cramer's condition, deviation (rate) function, second deviation (rate) function",
author = "Mogulskii, {Anatolii Alfredovich} and Prokopenko, {Evgenii Igorevich}",
year = "2018",
month = jan,
day = "1",
doi = "10.17377/semi.2018.15.042",
language = "English",
volume = "15",
pages = "503--527",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - Integro-local theorems for multidimensional compound renewal processes, when Cramer's condition holds. II

AU - Mogulskii, Anatolii Alfredovich

AU - Prokopenko, Evgenii Igorevich

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In the work, which consists of 4 papers (the article and [1] - [3]), we obtain integro-local limit theorems in the phase space for multidimensional compound renewal processes, when Cramer's condition holds. In the part II (the article) we consider the so-called first renewal process Z(t) in an irregular region.

AB - In the work, which consists of 4 papers (the article and [1] - [3]), we obtain integro-local limit theorems in the phase space for multidimensional compound renewal processes, when Cramer's condition holds. In the part II (the article) we consider the so-called first renewal process Z(t) in an irregular region.

KW - Compound multidimensional renewal process

KW - Cramer's condition

KW - Deviation (rate) function

KW - First renewal process

KW - Integro-local limit theorems

KW - Large deviations

KW - Renewal measure

KW - Second deviation (rate) function

KW - compound multidimensional renewal process

KW - first renewal process

KW - large deviations

KW - integro-local limit theorems

KW - renewal measure

KW - Cramer's condition

KW - deviation (rate) function

KW - second deviation (rate) function

UR - http://www.scopus.com/inward/record.url?scp=85067309246&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=36998756

U2 - 10.17377/semi.2018.15.042

DO - 10.17377/semi.2018.15.042

M3 - Article

AN - SCOPUS:85067309246

VL - 15

SP - 503

EP - 527

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 20633820