Spectral density estimation for p-adic stationary processes
Rachdi, Mustapha ; Monsan, Vincent
Annales mathématiques Blaise Pascal, Tome 5 (1998), p. 25-41 / Harvested from Numdam
Publié le : 1998-01-01
@article{AMBP_1998__5_1_25_0,
     author = {Rachdi, Mustapha and Monsan, Vincent},
     title = {Spectral density estimation for $p$-adic stationary processes},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {5},
     year = {1998},
     pages = {25-41},
     mrnumber = {1630098},
     zbl = {0899.62119},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_1998__5_1_25_0}
}
Rachdi, Mustapha; Monsan, Vincent. Spectral density estimation for $p$-adic stationary processes. Annales mathématiques Blaise Pascal, Tome 5 (1998) pp. 25-41. http://gdmltest.u-ga.fr/item/AMBP_1998__5_1_25_0/

[1] A.Yu. Khrennikov. p-adic valued distributions in mathematical physics. Kluwer Academic, Dordrecht, 1994. | MR 1325924 | Zbl 0833.46061

[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 1176406 | Zbl 0763.60016

[3] D. Dacunha-Castelle and M. Duflo. Probabilités et statistiques (2. Problèmes a temps mobile). MASSON, 1983. | MR 732786 | Zbl 0535.62004

[4] I.M. Gelfand, M.I. Graev, And Pyatetskii-Shapiro. Representation theory and automorphic functions. Saunders, Philadelphia, 1969. | MR 233772 | Zbl 0177.18003

[5] L. Györfi, W. Härdle, P. Sarda, and P. Vieu. Nonparametric curve estimation from time series. Lecture notes in statistics, Springer-Verlag, 1990. | MR 1027837 | Zbl 0697.62038

[6] E. Hewitt and K.A. Ross. Abstract harmonic analysis, volume 1. Academic Press, New York, 1963. | MR 156915

[7] Alan. F. Karr. Point processes and their statistical inference (Second Edition Revised and Expanded). Marcel Dekker, inc, 1991. | MR 1113698 | Zbl 0733.62088

[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 1289167 | Zbl 0814.62058

[9] E. Masry. Poisson sampling and spectral estimation of continuous-time processes. IEEE trans. Inform. Theory, IT-24(2):173-183, 1978. | MR 483238 | Zbl 0376.62062

[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 1659990

[12] V.S. Vladimirov. Generalized functions over the field of p-adic numbers. Russian Math. Surveys, 43:19-64, 1988. | MR 971464 | Zbl 0678.46053

[13] I.V. Volovich V.S. Vladimirov and E.I. Zelenov. p-adic analysis and mathematical physics. World. Sc. Publ, Singapure, 1994. | MR 1288093 | Zbl 0812.46076