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Special Invited Paper

The Identification Of Point Process Systems

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Selected Works of David Brillinger

Part of the book series: Selected Works in Probability and Statistics ((SWPS))

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Abstract

A point process system is a random operator assigning a nonnegative integer-valued measure to a random nonnegative integer-valued measure. We define certain parameters for such a system and discuss the problem of estimating these parameters. We also consider the related problem of measuring the degree of association of two point processes.

Presented at the 1974 Annual Meeting of the In stitute of Mathematical Statistics held at Edmonton, Alberta, August 13-16. Part of the research carried out as a Miller Research Professor, part with the support of NSF Grant GP-31411.

AMS 1970subject classifications. Primary 60GIO, lOK35, 62MI0, 93B30.

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Brillinger, D.R. (2012). Special Invited Paper. In: Guttorp, P., Brillinger, D. (eds) Selected Works of David Brillinger. Selected Works in Probability and Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1344-8_30

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