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On the Theory of Conditioning in Point Processes.

Olav Kallenberg-1986-09-01
1

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Abstract : This paper, written for the Proceedings of the First World Congress of the Bernoulli Society of Mathematical Statistics and Probability in Tashkent, 1986, summarizes the most fundamental concepts and relationships in the theory of conditioning in point processes. Though most results are taken from the author's book on Random Measures or from an earlier survey paper, the present emphasis is somewhat different, and there are even a couple of new results, mentioned here without proof. By a point process we mean a random configuration of isolated points in some topological space. Point processes arise naturally in a great variety of contexts, both theoretical and applied.

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Abstract : This paper, written for the Proceedings of the First World Congress of the Bernoulli Society of Mathematical Statistics and Probability in Tashkent, 1986, summarizes the most fundamental concepts and relationships in the theory of conditioning in point processes. Though most results are taken from the author's book on Random Measures or from an earlier survey paper, the present emphasis is somewhat different, and there are even a couple of new results, mentioned here without proof. By a point process we mean a random configuration of isolated points in some topological space. Point processes arise naturally in a great variety of contexts, both theoretical and applied.

Keywords

ConditioningPoint (geometry)Computer scienceMathematicsStatistics

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