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On the rate of Poisson approximation to Bernoulli partial sum processes. / Ruzankin, Pavel S.; Borisov, Igor S.

In: Statistics and Probability Letters, Vol. 162, 108754, 07.2020.

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

Harvard

Ruzankin, PS & Borisov, IS 2020, 'On the rate of Poisson approximation to Bernoulli partial sum processes', Statistics and Probability Letters, vol. 162, 108754. https://doi.org/10.1016/j.spl.2020.108754

APA

Ruzankin, P. S., & Borisov, I. S. (2020). On the rate of Poisson approximation to Bernoulli partial sum processes. Statistics and Probability Letters, 162, [108754]. https://doi.org/10.1016/j.spl.2020.108754

Vancouver

Ruzankin PS, Borisov IS. On the rate of Poisson approximation to Bernoulli partial sum processes. Statistics and Probability Letters. 2020 Jul;162:108754. doi: 10.1016/j.spl.2020.108754

Author

Ruzankin, Pavel S. ; Borisov, Igor S. / On the rate of Poisson approximation to Bernoulli partial sum processes. In: Statistics and Probability Letters. 2020 ; Vol. 162.

BibTeX

@article{d3ed6ce1be95462ea872d455bb4bb163,
title = "On the rate of Poisson approximation to Bernoulli partial sum processes",
abstract = "We investigate approximation of a Bernoulli partial sum process to the accompanying Poisson process in the non-i.i.d. case. The rate of closeness is studied in terms of the minimal distance in probability. In particular, a new lower bound for the total variation distance between a Bernoulli partial sum process and the accompanying Poisson process is obtained.",
keywords = "Bernoulli random variables, Minimal distance, Partial sum process, Poisson approximation, Total variation distance, DISTANCES, TERMS, PROBABILITY-MEASURES, UNBOUNDED FUNCTIONS, EXPECTATIONS, RANDOM-VARIABLES, ACCURACY",
author = "Ruzankin, {Pavel S.} and Borisov, {Igor S.}",
year = "2020",
month = jul,
doi = "10.1016/j.spl.2020.108754",
language = "English",
volume = "162",
journal = "Statistics and Probability Letters",
issn = "0167-7152",
publisher = "Elsevier Science B.V.",

}

RIS

TY - JOUR

T1 - On the rate of Poisson approximation to Bernoulli partial sum processes

AU - Ruzankin, Pavel S.

AU - Borisov, Igor S.

PY - 2020/7

Y1 - 2020/7

N2 - We investigate approximation of a Bernoulli partial sum process to the accompanying Poisson process in the non-i.i.d. case. The rate of closeness is studied in terms of the minimal distance in probability. In particular, a new lower bound for the total variation distance between a Bernoulli partial sum process and the accompanying Poisson process is obtained.

AB - We investigate approximation of a Bernoulli partial sum process to the accompanying Poisson process in the non-i.i.d. case. The rate of closeness is studied in terms of the minimal distance in probability. In particular, a new lower bound for the total variation distance between a Bernoulli partial sum process and the accompanying Poisson process is obtained.

KW - Bernoulli random variables

KW - Minimal distance

KW - Partial sum process

KW - Poisson approximation

KW - Total variation distance

KW - DISTANCES

KW - TERMS

KW - PROBABILITY-MEASURES

KW - UNBOUNDED FUNCTIONS

KW - EXPECTATIONS

KW - RANDOM-VARIABLES

KW - ACCURACY

UR - http://www.scopus.com/inward/record.url?scp=85082134927&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2020.108754

DO - 10.1016/j.spl.2020.108754

M3 - Article

AN - SCOPUS:85082134927

VL - 162

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

M1 - 108754

ER -

ID: 23877867