Spectral density estimation for p-adic stationary processes
Annales mathématiques Blaise Pascal, Volume 5 (1998) no. 1, pp. 25-41.
@article{AMBP_1998__5_1_25_0,
     author = {Mustapha Rachdi and Vincent Monsan},
     title = {Spectral density estimation for $p$-adic stationary processes},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {25--41},
     publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal},
     volume = {5},
     number = {1},
     year = {1998},
     zbl = {0899.62119},
     mrnumber = {1630098},
     language = {en},
     url = {https://ambp.centre-mersenne.org/item/AMBP_1998__5_1_25_0/}
}
TY  - JOUR
AU  - Mustapha Rachdi
AU  - Vincent Monsan
TI  - Spectral density estimation for $p$-adic stationary processes
JO  - Annales mathématiques Blaise Pascal
PY  - 1998
DA  - 1998///
SP  - 25
EP  - 41
VL  - 5
IS  - 1
PB  - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
UR  - https://ambp.centre-mersenne.org/item/AMBP_1998__5_1_25_0/
UR  - https://zbmath.org/?q=an%3A0899.62119
UR  - https://www.ams.org/mathscinet-getitem?mr=1630098
LA  - en
ID  - AMBP_1998__5_1_25_0
ER  - 
%0 Journal Article
%A Mustapha Rachdi
%A Vincent Monsan
%T Spectral density estimation for $p$-adic stationary processes
%J Annales mathématiques Blaise Pascal
%D 1998
%P 25-41
%V 5
%N 1
%I Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
%G en
%F AMBP_1998__5_1_25_0
Mustapha Rachdi; Vincent Monsan. Spectral density estimation for $p$-adic stationary processes. Annales mathématiques Blaise Pascal, Volume 5 (1998) no. 1, pp. 25-41. https://ambp.centre-mersenne.org/item/AMBP_1998__5_1_25_0/

[1] A.Yu. Khrennikov. p-adic valued distributions in mathematical physics. Kluwer Academic, Dordrecht, 1994. | MR | Zbl

[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. | MR | Zbl

[3] D. Dacunha-Castelle and M. Duflo. Probabilités et statistiques (2. Problèmes a temps mobile). MASSON, 1983. | MR | Zbl

[4] I.M. Gelfand, M.I. Graev, And Pyatetskii-Shapiro. Representation theory and automorphic functions. Saunders, Philadelphia, 1969. | MR | Zbl

[5] L. Györfi, W. Härdle, P. Sarda, and P. Vieu. Nonparametric curve estimation from time series. Lecture notes in statistics, Springer-Verlag, 1990. | MR | Zbl

[6] E. Hewitt and K.A. Ross. Abstract harmonic analysis, volume 1. Academic Press, New York, 1963. | MR

[7] Alan. F. Karr. Point processes and their statistical inference (Second Edition Revised and Expanded). Marcel Dekker, inc, 1991. | MR | Zbl

[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. | MR | Zbl

[9] E. Masry. Poisson sampling and spectral estimation of continuous-time processes. IEEE trans. Inform. Theory, IT-24(2):173-183, 1978. | MR | Zbl

[10] V. Monsan. Estimation spectrale dans les processus périodiquement corrélés. Univ de Rouen, (Thèse de doctorat), 1994.

[11] M. Rachdi. Choix de la largeur de fenêtre spectrale par validation croisée. Analyse spectrale p-adique. Univ de Rouen, (Thèse de doctorat), 1998. | MR

[12] V.S. Vladimirov. Generalized functions over the field of p-adic numbers. Russian Math. Surveys, 43:19-64, 1988. | MR | Zbl

[13] I.V. Volovich V.S. Vladimirov and E.I. Zelenov. p-adic analysis and mathematical physics. World. Sc. Publ, Singapure, 1994. | MR | Zbl