منابع مشابه
Exchangeable Random Networks
We introduce and study a class of exchangeable random graph ensembles. They can be used as statistical null models for empirical networks, and as a tool for theoretical investigations. We provide general theorems that characterize the degree distribution of the ensemble graphs, together with some features that are important for applications, such as subgraph distributions and kernel of the adja...
متن کاملExchangeable and partially exchangeable random partitions
Call a random partition of the positive integers partially exchangeable if for each finite sequence of positive integers n l , . . . , nk, the probability that the partition breaks the first nl + . . . § nk integers into k particular classes, of sizes nl . . . . , nk in order of their first elements, has the same value p(na . . . . . nk) for every possible choice of classes subject to the sizes...
متن کاملExchangeable random hypergraphs
A hypergraph is a generalization of a graph in which an edge may contain more than two vertices. Hereditary hypergraphs are particularly important because they arise in mathematics as the class of monotone subsets, in statistics as the class of factorial models, in topology as simplicial complexes and in algebra as the free distributive lattice. An exchangeable random hypergraph consists of a p...
متن کاملExchangeable random arrays
These notes were written to accompany a sequence of workshop lectures at the Indian Institute of Science, Bangalore in January 2013. My lectures had two purposes. The first was to introduce some of the main ideas of exchangeability theory at a level suitable for graduate students (assuming familiarity with measure-theoretic probability). The second was to show the key rôle exchangeability has p...
متن کاملExchangeable random variables
If Equation (1) be satisfied, then all sets S are equally likely under the null hypothesis. To obtain a permutation test that is both unbiased and most powerful, one need only select the set S so that its probability under the alternative >0 is a maximum. This is accomplished in most cases by rejecting the hypothesis for all values of the test statistic that lie in the upper tail of the permuta...
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ژورنال
عنوان ژورنال: Internet Mathematics
سال: 2007
ISSN: 1542-7951,1944-9488
DOI: 10.1080/15427951.2007.10129152