A Note on the Bonferroni's Inequalities | Zendy

Mǎrgǎritescu E. | Zendy

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A Note on the Bonferroni's Inequalities

Author(s) -

Mǎrgǎritescu E.

Publication year - 1986

Publication title -

biometrical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.108

H-Index - 63

eISSN - 1521-4036

pISSN - 0323-3847

DOI - 10.1002/bimj.4710280807

Subject(s) - bonferroni correction , mathematics , generalization , partition (number theory) , sobel operator , inequality , combinatorics , set (abstract data type) , statistics , mathematical economics , mathematical analysis , computer science , artificial intelligence , edge detection , image (mathematics) , programming language , image processing

In this note we present improved Bonferroni type inequalities for the union of a set of nonexchangeable events. These new bounds are stronger than or equivalent with the bounds proposed by KOUNIAS (1968), HUNTER (1976), MARGOLIN & MAURER (1976), GALAMBOS (1977) and by Mǎrgǎkritescu (1983). In the particular case of the exchangeable events, the bounds given by SOBEL & UPPULURI (1972) can be derived. A generalization in terms of a partition of {1, 2, …, n } is also established.

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