Comparaison des méthodes de simulation d'un bruit blanc gaussien
Bosq, D. ; Smili, D.
Revue de Statistique Appliquée, Tome 39 (1991), p. 5-15 / Harvested from Numdam
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Publié le : 1991-01-01
@article{RSA_1991__39_3_5_0,
     author = {Bosq, Denis and Smili, D.},
     title = {Comparaison des m\'ethodes de simulation d'un bruit blanc gaussien},
     journal = {Revue de Statistique Appliqu\'ee},
     volume = {39},
     year = {1991},
     pages = {5-15},
     mrnumber = {1145956},
     zbl = {0972.65501},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RSA_1991__39_3_5_0}
}

Bosq, D.; Smili, D. Comparaison des méthodes de simulation d'un bruit blanc gaussien. Revue de Statistique Appliquée, Tome 39 (1991) pp. 5-15. http://gdmltest.u-ga.fr/item/RSA_1991__39_3_5_0/

(1) Bailey, B.J.R. (1981) : Alternatives to Hastings'approximation to the inverse of the normal cumulative distribution function. Appl.Statist., 30, N°. 3, pp. 275-276. | MR 642779

(2) Bosq, D. et Lecoutre, J.P (1987) : théorie de l'estimation fonctionnelle. Ed Economica.

(3) Box, J.E.P. and Muller, M.E. (1958) : A note on the generation of random normal deviates. Ann.Math. Statist., 29, pp. 610- 611. | Zbl 0085.13720

(4) Golder, E.R. and Setle, J.G. (1976) : The Box-Muller method for generating pseudo-random normal deviates. Appl. Statist., 25, N°.1, pp. 12-20. | MR 428682

(5) Hastings, C. (1955) : Approximation for digital computers. Princeton University Press. | MR 68915 | Zbl 0066.10704

(6) Hugo, C.H. (1978) : Approximating the cumulative normal distribution and its inverse. Appl. Statist.,27, N°.1., pp.76-77.

(7) Lehmer, D.H. (1951) : Mathematical methods in large scale digital computing units. Proceedings of second symposium on large scale digital calculating machinery. Ann. Comput. Lab. Harvard University, V.26, pp. 141-146. | MR 44899 | Zbl 0045.40001

(8) Neave, H.R. (1973) : On using the Box-Muller transformation with multiplicative congruential pseudo-random number generators. Appl. Statist., 22, pp. 92-97.

(9) Page, E. (1978) : Approximation to the cumulative normal function and its inverse for use on a pocket calculator. Appl. Statist., V.26, N°.1, pp. 75-76.

(10) Smili, D. (1990) : Contribution à l'étude probabiliste des générateurs d'échantillons de séries temporelles. Thèse de l'Université Paris 6.

(11) Zelen, M. and Severo, N.C. (1966) : Probability functions. In handbook of mathematical functions (M. Abramowitz and I. A. Stegun, eds). Washington. D.C. : Department of commerce of U.S. Government.