Research output: Contribution to journal › Article › peer-review
On inequalities for probabilities wherein at least r from n events occur. / Frolov, A.N.
In: Vestnik St. Petersburg University: Mathematics, Vol. 50, No. 3, 2017, p. 287-296.Research output: Contribution to journal › Article › peer-review
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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