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On inequalities for probabilities wherein at least r from n events occur. / Frolov, A.N.

в: Vestnik St. Petersburg University: Mathematics, Том 50, № 3, 2017, стр. 287-296.

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Harvard

Frolov, AN 2017, 'On inequalities for probabilities wherein at least r from n events occur', Vestnik St. Petersburg University: Mathematics, Том. 50, № 3, стр. 287-296.

APA

Frolov, A. N. (2017). On inequalities for probabilities wherein at least r from n events occur. Vestnik St. Petersburg University: Mathematics, 50(3), 287-296.

Vancouver

Frolov AN. On inequalities for probabilities wherein at least r from n events occur. Vestnik St. Petersburg University: Mathematics. 2017;50(3):287-296.

Author

Frolov, A.N. / On inequalities for probabilities wherein at least r from n events occur. в: Vestnik St. Petersburg University: Mathematics. 2017 ; Том 50, № 3. стр. 287-296.

BibTeX

@article{c1c3f48cf4b7479c80242c18d7a2e4ff,
title = "On inequalities for probabilities wherein at least r from n events occur",
abstract = "Upper and lower estimates are obtained for probabilities wherein at least r from n events occur. The inequalities may turn to equalities. Similar inequalities are obtained for conditional probabilities with respect to a σ-field of events. Taking expectations from both parts of the specified inequalities, one can refine the estimates for the considered unconditional probabilities.",
keywords = "Bonferroni inequalities, probabilities of union of events, probabilities wherein at least r events occur",
author = "A.N. Frolov",
note = "Frolov, A.N. On inequalities for probabilities wherein at least r from n events occur. Vestnik St.Petersb. Univ.Math. 50, 287–296 (2017). https://doi.org/10.3103/S1063454117030074",
year = "2017",
language = "English",
volume = "50",
pages = "287--296",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - On inequalities for probabilities wherein at least r from n events occur

AU - Frolov, A.N.

N1 - Frolov, A.N. On inequalities for probabilities wherein at least r from n events occur. Vestnik St.Petersb. Univ.Math. 50, 287–296 (2017). https://doi.org/10.3103/S1063454117030074

PY - 2017

Y1 - 2017

N2 - Upper and lower estimates are obtained for probabilities wherein at least r from n events occur. The inequalities may turn to equalities. Similar inequalities are obtained for conditional probabilities with respect to a σ-field of events. Taking expectations from both parts of the specified inequalities, one can refine the estimates for the considered unconditional probabilities.

AB - Upper and lower estimates are obtained for probabilities wherein at least r from n events occur. The inequalities may turn to equalities. Similar inequalities are obtained for conditional probabilities with respect to a σ-field of events. Taking expectations from both parts of the specified inequalities, one can refine the estimates for the considered unconditional probabilities.

KW - Bonferroni inequalities

KW - probabilities of union of events

KW - probabilities wherein at least r events occur

UR - https://link.springer.com/article/10.3103/S1063454117030074

M3 - Article

VL - 50

SP - 287

EP - 296

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 3

ER -

ID: 9314051