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The Ambrose-Kakutani theorem and the poisson process

Part of the Lecture Notes in Mathematics book series (LNM,volume 160)

Keywords

  • Poisson Process
  • Point Process
  • Random Rate
  • Homogeneous Poisson Process
  • Oriented Line

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References

  1. W. Ambrose, Representation of ergodic flows, Ann. Math 42, 723–739 (1941)

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  2. W. Ambrose and S. Kakutani, Structure and continuity of measurable flows, Duke Math J. 9, 25–42 (1942).

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  3. R. Davidson, Thesis (Chapter 6: Stochastic processes of flats; Chapter 7: Exchangeable stochastic point processes), University of Cambridge (1968).

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  4. A. Y. Khintchine, Mathematical methods in the theory of queueing, Griffin's Statistical Monographs and Courses, No. 7, 1960.

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  5. J. Neveu, Sur la structure des processus ponctuels stationnaires, C. R. Acad. Sc. Paris 267 Serie A, 561–564, (1968).

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  6. C. Palm, Variation in intensity in telephone conversations, Ericsson Technics 1–189, 1943–44.

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  7. C. Ryll-Nardzewski, Remarks on processes of calls, Proc. of Fourth Berkeley Symposium, Vol. 2, 455–465 (1960).

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© 1970 Springer-Verleg

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Papangelou, F. (1970). The Ambrose-Kakutani theorem and the poisson process. In: Contributions to Ergodic Theory and Probability. Lecture Notes in Mathematics, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060656

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  • DOI: https://doi.org/10.1007/BFb0060656

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05188-6

  • Online ISBN: 978-3-540-36371-2

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