Books Worth Reading

Abstract

Censors in the Classroom: The Mind Benders by Edward B. Jenkinson. Carbondale: Southern Illinois University Press, 184 pages, $12.50.     

The Fourteenth Mathematical Sciences Summer Lecture Series

Announcement

The Fourteenth Mathematical Sciences Summer Lecture Series     

Announcement of Summer in Tel Aviv 1995

Announcement of Summer in Tel Aviv 1995     

上市公司“读心术”

尽管上市公司活力评价选择3年营业收入作为单一基础指标,但要解析指标形成的奥秘,还需要上市公司披露的其他公开信息作为佐证。     

Reading dependencies from covariance graphs

The covariance graph (aka bi-directed graph) of a probability distribution p is the undirected graph G where two nodes are adjacent iff their corresponding random variables are marginally dependent in p. (It is worth mentioning that our definition of covariance graph is somewhat non-standard. The standard definition states that the lack of an edge between two nodes of G implies that their corresponding random variables are marginally independent in p. This difference in the definition is important in this paper.) In this paper, we present a graphical criterion for reading dependencies from G, under the assumption that p satisfies the graphoid properties as well as weak transitivity and composition. We prove that the graphical criterion is sound and complete in certain sense. We argue that our assumptions are not too restrictive. For instance, all the regular Gaussian probability distributions satisfy them.