Utilisation des tests de Kiveliovitch et Vialar dans l'étude de quelques générateurs de nombres pseudo-aléatoires
Revue de Statistique Appliquée, Volume 22 (1974) no. 3, p. 83-90
@article{RSA_1974__22_3_83_0,
     author = {Chass\'e, J.-L. and Debouzie, D.},
     title = {Utilisation des tests de Kiveliovitch et Vialar dans l'\'etude de quelques g\'en\'erateurs de nombres pseudo-al\'eatoires},
     journal = {Revue de Statistique Appliqu\'ee},
     publisher = {Soci\'et\'e de Statistique de France},
     volume = {22},
     number = {3},
     year = {1974},
     pages = {83-90},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_1974__22_3_83_0}
}
Chassé, J.-L.; Debouzie, D. Utilisation des tests de Kiveliovitch et Vialar dans l'étude de quelques générateurs de nombres pseudo-aléatoires. Revue de Statistique Appliquée, Volume 22 (1974) no. 3, pp. 83-90. http://www.numdam.org/item/RSA_1974__22_3_83_0/

[1] Allard, J.L., Dobell, A.R. et Hull, T.E. (1963) "Mixed congruential random number generators for decimal machines " J. Ass. computg. Machin, USA, 10, 131-141. | MR 149645 | Zbl 0116.09707

[2] Beasley, J.D. et Wilson, K. (1969) "Design and testing of the System 4 random number generator" Computer J., GB, 12, 368- 372. | Zbl 0187.14104

[3] Cameron, J.M. et Handy, B.F. Jr (1952) "Results on some tests of randomness on pseudo-random numbers" Abstract in Annals Math. Stat., 23, 138.

[4] Coveyou, R.R. (1960) "Serial correlation in the generation of pseudo-random numbers" J. Ass, computg. Machin, USA, 7, 72 -74. | MR 117869 | Zbl 0096.33903

[5] Coveyou, R.R. et Macpherson, R.D. (1967) " Fourier analysis of uniform random number generators" J. Ass. computg. Machin, USA 14, 100 -119. | MR 221727 | Zbl 0155.22801

[6] Cugiani, M. et Liverani, A. (1966) "Un nuovo metodo per la generazione di numeri pseudo-casuali" Atti Seminar, mat. fis. Univ. Modena, 15, 194-197. | MR 208803 | Zbl 0158.36503

[7] Deltour, J. (1967) "Etude d'une distribution de nombres pseudo-aléatoires". Bull. Rech. agron. Gembloux, 2, 450 -460.

[8] Downham, D.Y. et Roberts, F.D.K. (1967) "Multiplicative congruential pseudo-random number generators" Computer J., G.B., 10, 74- 77. | Zbl 0148.40004

[9] Gotusso, L. (1966) "Su alcune sequenze pseudo casuali di tipo congruenziale misto" Atti seminar, mat. fis. Univ. Modena, 15, 188-193. | MR 214270 | Zbl 0161.15402

[10] Horton, H.B. (1948) "A method for obtaining random numbers" Ann Math. Statistics, 19, 81-85 | MR 24085 | Zbl 0031.37301

[11] Horton, H.B. et Smith, R.T. (1949) III "A direct method for producing random digits in any number system" Ann. Math. Statistics, 20, 82- 90. | MR 29117 | Zbl 0041.26505

[12] Hull, T.E. et Dobell, A.R. (1962) "Random numbers generators " SIAM Review, 4, 230-254. | MR 148202 | Zbl 0111.14701

[13] Kiveliovitch, M. et Vialar, J. (1957) "Les séries chronologiques et la théorie du hasard" Publ. sci. tech, Minist. Air, Notes tech., Fr, n° 65. | MR 90966

[14] Kral, J. (1971) "Experimental properties of some additive pseudo-random number generators with random shuffling" Apl. Nat., Ceskolsl., 16, 395 -401. | Zbl 0228.65005

[15] Lehmer, D.R. (1949) "Mathematical methods in large scale computing units" Proc. sympos. on large-scale digital calcul. machinery, Harvard Univ. press, 141-146. | MR 44899 | Zbl 0045.40001

[16] Peach, P. (1961) "Bias in pseudo-random numbers " J. amer. statist. Ass. 56,610-618. | MR 134452 | Zbl 0111.14801

[17] Rohlf, F.J. et Davenport, D. (1969) "Simulation of Simple Models of Animal Behavior with a Digital Computer" J. Theoret, Biol., 23, 400-424.

[18] Shreider, Y.A. (1966) The Monte Carlo Method, Pergamon Press.

[19] Taussky, O. et Todd, J. (1954) "Generation and testing of pseudo-random numbers" Symposium on Monte Carlo Methods, Herbert, A. Meyer Ed., 15- 28. | MR 80382

[20] Tootill, J.P.R., Robinson, W.D. et Adams, A.G. (1971) "The runs up-and- down performance of Tausworthe pseudo-random number generators". J. Ass. comptg. Machin, USA, 18, 381- 399. | Zbl 0225.65012