La précision des logiciels statistiques
Revue de Statistique Appliquée, Volume 52 (2004) no. 2, p. 5-25
@article{RSA_2004__52_2_5_0,
     author = {Ladiray, Dominique and Quenneville, Beno\^\i t},
     title = {La pr\'ecision des logiciels statistiques},
     journal = {Revue de Statistique Appliqu\'ee},
     publisher = {Soci\'et\'e fran\c caise de statistique},
     volume = {52},
     number = {2},
     year = {2004},
     pages = {5-25},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_2004__52_2_5_0}
}
Ladiray, Dominique; Quenneville, Benoît. La précision des logiciels statistiques. Revue de Statistique Appliquée, Volume 52 (2004) no. 2, pp. 5-25. http://www.numdam.org/item/RSA_2004__52_2_5_0/

[1] Altman M. (2003), « A Review of JMP 4.03 with Special Attention to its Numerical Accuracy », American Statistician, vol. 56, pp. 72-75. | MR 1939397

[2] Brown B.W. (1998), « DCDFLIB v1.1 » (Double precision Cumulative Distribution Function LIBrary), disponible sur ftp://odin.mdacc.tmc.edu/pub/source.

[3] Creighton L., Ding J., « Assessing the Numerical Accuracy of JMP », disponible sur http ://www.jmp.com/product/NIST.pdf

[4] Creighton L., « Assessing Random Numbers in JMP », disponible sur http ://www.jmp.com/product/RNG.pdf

[5] Fishman G.S., Moore L.R. (1982), « A Statistical Evaluation of Multiplicative Congruential Generators with Modulus (2 31 - 1 », Journal of the American Statistical Association, 77, 129- 136. | Zbl 0477.65004

[6] Knüsel L. (1998), « On the accuracy of statistical distributions in Microsoft Excel 97 », Computational Statistics and Data Analysis, 26, pp. 375-377.

[7] Knüsel L. (1995), « On the accuracy of statistical distributions in Gauss », Computational Statistics and Data Analysis, 20, pp. 699- 702.

[8] Knüsel L. (1989), « Computergestützte Berechnung Statistischer Verteilungen », Oldenburg, München- Wien. Une version anglaise du programme est disponible sur www.stat.uni-muenchen.de/∼knuesel/elv.

[9] Knuth D.E. (1997), The Art of Computer Programming, Addison-Wesley. | MR 378456

[10] Longley J.W. (1967), « An Appraisal of Computer Programs for the Electronic Computer from the Point of View of the User », Journal of the American Statistical Association, 62, pp. 819- 841. | MR 215440

[11] Maballée Colette Et Berthe (1925), « Algorithms and Best Linear Unbiased EstimatorS », Journal of the Statistical Society of Dublin, vol. 49, pp. 469- 475.

[12] Marsaglia G. (1996), « DIEHARD : A Battery of Tests of Randomness », http ://stat.fsu.edu/pub/∼diehard.

[13] Marsaglia G. (1968), « Random Numbers Fall Mainly in the Planes », in Proceedings of the National Academy of Sciences of the USA, 60, pp. 25-28. | MR 235695 | Zbl 0172.21002

[14] Mccullough B.D. (November 1998), « Assessing the reliability of statistical software : Part I », The American Statistician, vol. 52, n° 4, pp. 358-366.

[15] Mccullough B.D. (May 1999), « Assessing the reliability of statistical software : Part II », The American Statistician, vol. 53, n° 2, pp. 149-159.

[16] Mccullough B.D. (2000), « The Accuracy of Mathematica 4 as a statistical package », Computational Statistics, vol. 15.0, pp. 279-299. | Zbl 0976.62001

[17] Mccullough B. D., Vinod H.D. (1999), « The Numerical Reliability of Econometric Software », Journal of Economic Literature, vol. XXXVII, pp. 633-665.

[18] Mccullough B.D., Wilson B. (2002), « On the accuracy of statistical procedures in Microsoft Excel 2000 and XP », Computational Statistics & Data Analysis, vol. 40, 3, pp. 325 -332. | MR 1933481

[19] Mckinnon J.G. (1996), « Numerical Distribution Functions for Unit Root and Cointegration tests », Journal of Applied Econometrics, 11, pp. 601-618.

[20] Nerlove M. (2001), « On the numerical accuracy of Mathematica 4.1 for doing ordinary least squares regression », Manuscript, AREC, University of Maryland.

[21] Nist (1998), « StRD : Statistical Reference Datasets for Assessing the Numerical Accuracy of Statistical Softwares », disponible sur http ://www.nist.gov/itl/div898/strd.

[22] Sas Institute, « Assessing the Numerical Accuracy of SAS Software », disponible sur http ://www.sas.com/rnd/app/papers/statisticalaccuracy.pdf

[23] Simon S.D., Lesage J.P. (1989), « Assessing the Accuracy of ANOVA Calculations in Statistical Software », Computational Statistics & Data Analysis, 8, pp. 325-332. | Zbl 0726.62123

[24] Spencer J. (1904), « On the graduation of rates of sickness and mortality », Journal of the Institute of Actuaries, vol. 38.

[25] Stata, Statistical Software, résultats des tests disponibles sur http ://www.stata.com/support/cert/

[26] TSP International, Benchmarks, http ://www.tspintl.com/products/tsp/benchmarks/index.htm

[27] Vinod H.D. (2000), « Review of Gauss for Windows, Including its Numerical Accuracy », Journal of Applied Econometrics, vol. 15.0, pp. 211-220.

[28] Wampler R.H. (1970), « A Report on the Accuracy of Some Widely-Used Least Squares Computer Programs », Journal of the American Statistical Association, 65, pp. 549-565. | Zbl 0196.22405

[29] Wampler R.H. (1980), « Test Procedures and Test Problems for Least Squares Algorithms », Journal of Econometrics, 12, pp. 3-22. | Zbl 0421.65041

[30] Wilkinson L. (1985),Statistics Quiz, Evanston, IL: SYSTAT Inc., (disponible sur http ://www.tspintl.com/benchmarks)