Bounds on the probability of the union and intersection of m events
Bounds on the probability of the union and intersection of m events
复制标题
m 个事件的并集和交集概率的界限
DOI：
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发表时间：
1975
影响因子：
1.2
通讯作者：
Seymour M. Kwerel
中科院分区：
文献类型：
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作者：
Seymour M. Kwerel
对于仅由数量部分指定的m个事件的相依概率系统，S 1表示m个单独事件的概率之和，S 2表示m个事件对的每个事件的概率之和，S 3表示3个事件的(M3)个组合的每个事件的概率之和，得到了关于P1的最严格的上下界，即m个事件并集的概率，以及关于P[m]的m个事件同时发生的概率.
For dependent probability systems of m events partially specified only by the quantities S 1, the sum of the probabilities of the m individual events; S 2, the sum of the probabilities of each of the (m) pairs of events and S 3 the sum of the probabilities of each of the (m 3) combinations of three events; this paper develops the most stringent upper and lower bounds on P 1, the probability of the union of the m events; and on P [m], the probability of the simultaneous occurrence of the m events.