Bivariate Bonferroni inequalities |
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| Authors: | Min-Young Lee |
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| Institution: | (1) Department of Mathematics, Dankook University, Seoul, Korea |
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| Abstract: | Summary LetA
1,A
2,  ,A
m
,C
1,C
2, ,C
n
be events on a given probability speace. LetV
m
andU
n
, respectively, be the numbers among theA
i
's andC
j
's which occur.Upper and lower bounds ofP(V
m
 1, U
n
1) are obtained by means of the bivariate binomial moments. These extend recent univariate optimal Bonferroni-type inequalities. |
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| Keywords: | Primary 60E15 Secondary 60C05 |
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