Extremes of interarrival times of a Poisson process under conditioning

A. Abay

Applicationes Mathematicae (1995)

  • Volume: 23, Issue: 1, page 73-82
  • ISSN: 1233-7234

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Abay, A.. "Extremes of interarrival times of a Poisson process under conditioning." Applicationes Mathematicae 23.1 (1995): 73-82. <http://eudml.org/doc/219117>.

@article{Abay1995,
author = {Abay, A.},
journal = {Applicationes Mathematicae},
keywords = {extreme; exchangeable; Poisson process; extremes; interarrival times; homogeneous Poisson process; limiting distribution},
language = {eng},
number = {1},
pages = {73-82},
title = {Extremes of interarrival times of a Poisson process under conditioning},
url = {http://eudml.org/doc/219117},
volume = {23},
year = {1995},
}

TY - JOUR
AU - Abay, A.
TI - Extremes of interarrival times of a Poisson process under conditioning
JO - Applicationes Mathematicae
PY - 1995
VL - 23
IS - 1
SP - 73
EP - 82
LA - eng
KW - extreme; exchangeable; Poisson process; extremes; interarrival times; homogeneous Poisson process; limiting distribution
UR - http://eudml.org/doc/219117
ER -

References

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  1. [1] D. A. Darling, On a class of problems related to the random division of an interval, Ann. Math. Statist. 24 (1965), 239-253. Zbl0053.09902
  2. [2] J. Galambos, Advanced Probability Theory, Marcel Dekker, New York, 1992. 
  3. [3] J. Galambos, The Asymptotic Theory of Extreme Order Statistics, Kreiger, Melbourne, Fla., 1987., Zbl0634.62044
  4. [4] D. J. Kendall, On finite and infinite sequences of exchangeable events, Studia Sci. Math. Hungar. 2 (1967), 319-327. Zbl0157.25601
  5. [5] B. Kopociński, The extreme gap in the multivariate Poisson process, Zastos. Mat. 21 (1991), 137-141. Zbl0747.60080
  6. [6] R. Pyke, Spacings, J. Roy. Statist. Soc. 27 (1965), 395-436. 
  7. [7] C. J. Ridler-Rowe, On two problems in exchangeable events, Studia Sci. Math. Hungar. 2 (1967), 415-418 Zbl0157.25602

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