Records and 2-block records of 1-dependent stationary sequences under local dependence

George Haiman; Nelly Mayeur; Valéry Nevzorov; Madan L. Puri

Annales de l'I.H.P. Probabilités et statistiques (1998)

  • Volume: 34, Issue: 4, page 481-503
  • ISSN: 0246-0203

How to cite

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Haiman, George, et al. "Records and 2-block records of 1-dependent stationary sequences under local dependence." Annales de l'I.H.P. Probabilités et statistiques 34.4 (1998): 481-503. <http://eudml.org/doc/77610>.

@article{Haiman1998,
author = {Haiman, George, Mayeur, Nelly, Nevzorov, Valéry, Puri, Madan L.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {1-dependent stationary sequences; records},
language = {eng},
number = {4},
pages = {481-503},
publisher = {Gauthier-Villars},
title = {Records and 2-block records of 1-dependent stationary sequences under local dependence},
url = {http://eudml.org/doc/77610},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Haiman, George
AU - Mayeur, Nelly
AU - Nevzorov, Valéry
AU - Puri, Madan L.
TI - Records and 2-block records of 1-dependent stationary sequences under local dependence
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1998
PB - Gauthier-Villars
VL - 34
IS - 4
SP - 481
EP - 503
LA - eng
KW - 1-dependent stationary sequences; records
UR - http://eudml.org/doc/77610
ER -

References

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  1. [1] G. Haiman, Etude des extrêmes d'une suite stationnaire m-dépendante avec une application relative aux accroissements du processus de Wiener., Annales de l'institut Henri Poincaré, Vol. 23, 1987a, N° 3, p. 425-458. Zbl0631.60031MR906726
  2. [2] G. Haiman, Almost sure asymptotic behaviour of the record and record time sequences of a stationary gaussian process, Mathematical Statistics and Probability Theory, vol. A, 1987b, p. 105-120. Zbl0654.60030MR922691
  3. [3] G. Haiman, A strong invariance principle for the extremes of multivariate stationary m-dependent sequences, Journal of Statistical Planning and Inference, Vol. 32, 1992, p. 47-163. Zbl0760.60030MR1183145
  4. [4] G. Haiman, and M.L. Puri, A strong invariance principle concerning the J-upper order statistics for stationary Gaussian sequences, Annals of Probability, Vol. 21, N° 1, 1993, p. 86-135. Zbl0772.60020MR1207217
  5. [5] G. Haiman, M. Kiki and M.L. Puri, Extreme of Markov sequences, Journal of Statistical Planning and Inference, Vol. 45, 1995, p. 185-201. Zbl0826.60040MR1342093
  6. [6] F. Matus, On two-block-factor sequences and one dependence, Preprint of the Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, 1994. MR1301518
  7. [7] N. Mayeur, Thèse de Doctorat, 1996. 
  8. [8] V. Nevzorov, Records, Theory Probab.Appl., Vol. 32, N° 2, 1987, p. 201-228. Zbl0677.62044MR902753

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