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Counting Processes and Martingales

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A Course on Point Processes

Part of the book series: Springer Series in Statistics ((SSS))

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Abstract

The present topic will not contribute much to the understanding of point processes on general spaces because we will merely study processes on the basic space T = [0, r] or T = [0, ∞). On the other hand, the involved mathematical problems and applications—concerning counting processes, martingales, compensators, and intensity processes—recently fascinated outstanding probabilitists and statisticians. The following lines should be regarded as an attempt to indicate some of the basic ideas.

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© 1993 Springer-Verlag New York, Inc.

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Reiss, RD. (1993). Counting Processes and Martingales. In: A Course on Point Processes. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9308-5_9

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  • DOI: https://doi.org/10.1007/978-1-4613-9308-5_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9310-8

  • Online ISBN: 978-1-4613-9308-5

  • eBook Packages: Springer Book Archive

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