Spectral density estimation for p -adic stationary processes

Mustapha Rachdi; Vincent Monsan

Annales mathématiques Blaise Pascal (1998)

  • Volume: 5, Issue: 1, page 25-41
  • ISSN: 1259-1734

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Rachdi, Mustapha, and Monsan, Vincent. "Spectral density estimation for $p$-adic stationary processes." Annales mathématiques Blaise Pascal 5.1 (1998): 25-41. <http://eudml.org/doc/79196>.

@article{Rachdi1998,
author = {Rachdi, Mustapha, Monsan, Vincent},
journal = {Annales mathématiques Blaise Pascal},
keywords = {periodogram; quadratic-mean consistency; Poisson counting process; spectral density; stationary -adic process},
language = {eng},
number = {1},
pages = {25-41},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Spectral density estimation for $p$-adic stationary processes},
url = {http://eudml.org/doc/79196},
volume = {5},
year = {1998},
}

TY - JOUR
AU - Rachdi, Mustapha
AU - Monsan, Vincent
TI - Spectral density estimation for $p$-adic stationary processes
JO - Annales mathématiques Blaise Pascal
PY - 1998
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 5
IS - 1
SP - 25
EP - 41
LA - eng
KW - periodogram; quadratic-mean consistency; Poisson counting process; spectral density; stationary -adic process
UR - http://eudml.org/doc/79196
ER -

References

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  2. [2] D.R. Brillinger. Some asymptotics of finite fourier transforms of a stationary p-adic process. Journal of Combinatorics, Information & System, 16(2-3):155-169, 1991. Zbl0763.60016MR1176406
  3. [3] D. Dacunha-Castelle and M. Duflo. Probabilités et statistiques (2. Problèmes a temps mobile). MASSON, 1983. Zbl0535.62004MR732786
  4. [4] I.M. Gelfand, M.I. Graev, and Pyatetskii-Shapiro. Representation theory and automorphic functions. Saunders, Philadelphia, 1969. Zbl0177.18003MR233772
  5. [5] L. Györfi, W. Härdle, P. Sarda, and P. Vieu. Nonparametric curve estimation from time series. Lecture notes in statistics, Springer-Verlag, 1990. Zbl0697.62038MR1027837
  6. [6] E. Hewitt and K.A. Ross. Abstract harmonic analysis, volume 1. Academic Press, New York, 1963. Zbl0115.10603MR156915
  7. [7] Alan. F. Karr. Point processes and their statistical inference (Second Edition Revised and Expanded). Marcel Dekker, inc, 1991. Zbl0733.62088MR1113698
  8. [8] Keh-Shin Lii and Elias Masry. Spectral estimation of continuous-time stationary processes from random sampling. Stochastic processes and their applications, 52:39-64, 1993. Zbl0814.62058MR1289167
  9. [9] E. Masry. Poisson sampling and spectral estimation of continuous-time processes. IEEE trans. Inform. Theory, IT-24(2):173-183, 1978. Zbl0376.62062MR483238
  10. [10] V. Monsan. Estimation spectrale dans les processus périodiquement corrélés. Univ de Rouen, (Thèse de doctorat), 1994. 
  11. [11] M. Rachdi. Choix de la largeur de fenêtre spectrale par validation croisée. Analyse spectrale p-adique. Univ de Rouen, (Thèse de doctorat), 1998. MR1659990
  12. [12] V.S. Vladimirov. Generalized functions over the field of p-adic numbers. Russian Math. Surveys, 43:19-64, 1988. Zbl0678.46053MR971464
  13. [13] I.V. Volovich V.S. Vladimirov and E.I. Zelenov. p-adic analysis and mathematical physics. World. Sc. Publ, Singapure, 1994. Zbl0812.46076MR1288093

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