Abstracts
In this chapter the structure of the likelihood process (process of Radon-Nikodym derivatives) is derived when considering two probability measures on the canonical spaces W and M, assuming that one of the probabilities is locally absolutely continuous with respect to the other. Also, it is shown how to change measure using martingales or just local martingales.
It is important to understand the contents of Theorem 5.1.1, but not necessary to read the proof in detail. Also, Section 5.2 may be omitted on a first reading.
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Chapter 5
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© 2006 Birkhäuser Boston
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(2006). Likelihood Processes. In: Point Process Theory and Applications. Probability and its Applications. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4463-6_5
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DOI: https://doi.org/10.1007/0-8176-4463-6_5
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4215-0
Online ISBN: 978-0-8176-4463-5
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