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We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representi...
On the Existence of the MLE for a Directed Random Graph Network Model with Reciprocation
Algebraic statistics Dyadic independence Exponential random graph model
2010/10/14
Holland and Leinhardt (1981) proposed a directed random graph model, the p1 model, to describe dyadic interactions in a social network. In previous work (Petrovic et al., 2010), we studied the algebra...
Degree distribution nearby the origin of a preferential attachment graph
Degree distribution preferential attachment graph
2009/3/23
In a 2-parameter scale free model of random graphs it is shown that the asymptotic degree distribution is the same in the neighbourhood of every vertex. This degree distribution is still a power law w...
