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Authors' rejoinder to discussion We thank the discussants for their contributions and insights, and for raising numerous interesting points. We shall respond to these as best we can, though obviously there are many questions for which, as yet, only partial solutions exist. We shall also try to rectify some misunderstandings that have arisen as a result of(More)
This paper presents recent advances in the statistical modeling of random graphs that have an impact on the empirical study of social networks. Statistical exponential family models (Wasserman and Pattison 1996) are a generalization of the Markov random graph models introduced by Frank and Strauss (1986), which in turn are derived from developments in(More)
We address the problem of estimating the support domain of a bounded spatial point process in the presence of background noise. This happens for example when detecting a mineeeld from aerial observations. The image returned by the electronic device contains putative mine locations and is corrupted by clutter. The problem is to nd the boundaries of the(More)
I describe a simple procedure for investigating the convergence properties of Markov Chain Monte Carlo sampling schemes. The procedure employs multiple runs from a sampler, using the same random deviates for each run. When the sample paths from all sequences converge, it is argued that approximate equilibrium conditions hold. The procedure also provides a(More)