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[1] Lipatev A. A., Ulyanov V. V., “O vychislimykh otsenkakh dlya statistiki Bartletta–Nanda–Pillai”, Obozrenie prikl. i prom. matem., 23:1 (2016), 51–53
[2] Abramowitz M., Stegun I. A. (eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Nat. Bureau of Standards Appl. Math. Ser., 55, U.S. Government Printing Office, Washington, D.C., 1964 | MR
[3] Anderson T. W., An Introduction to Multivariate Statistical Analysis, 3rd ed., Wiley, New York, 2003 | MR | Zbl
[4] Fujikoshi Y., Ulyanov V. V., “Error bounds for asymptotic expansions of Wilks' lambda distribution”, J. Multivariate Anal., 97:9 (2006), 1941–1957 | DOI | MR | Zbl
[5] Fujikoshi Y., Ulyanov V. V., Shimizu R., “$L_1$-norm error bounds for asymptotic expansions of multivariate scale mixtures and their applications to Hotelling's generalized $T_0^2$”, J. Multivariate Anal., 96:1 (2005), 1–19 | DOI | MR | Zbl
[6] Fujikoshi Y., Ulyanov V. V., Shimizu R., Multivariate Statistics. High Dimensional and Large-Sample Approximations, Wiley Series in Probability and Statistics, John Wiley Sons, Hoboken, NJ, 2010 | DOI | MR | Zbl
[7] Harrar S. W., Bathke A. C., “A nonparametric version of the Bartlett–Nanda–Pillai multivariate test. Asymptotics, approximations, and applications”, Amer. J. Math. Management Sci., 28:3–4 (2008), 309–335 | MR | Zbl
[8] Nanda D. N., “Distribution of the sum of roots of a determinantal equation under a certain condition”, Ann. Math. Stat., 21:3 (1950), 432–439 | DOI | MR | Zbl
[9] Ulyanov V. V., Wakaki H., Fujikoshi Y., “Berry–Esseen bound for high dimensional asymptotic approximation of Wilks' lambda distribution”, Stat. Probab. Lett., 76:12 (2006), 1191–1200 | DOI | MR | Zbl
[10] Wakaki H., Fujikoshi Y., Ulyanov V. V., “Asymptotic expansions of the distributions of MANOVA test statistics when the dimension is large”, Hiroshima Math. J., 44:3 (2014), 247–259 | MR | Zbl
[11] Wallace D. L., “Bounds on normal approximations to Student's and the chi-square distributions”, Ann. Math. Stat., 30:4 (1959), 1121–1130 | DOI | MR | Zbl