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References
- de la Peña, Víctor H.; Giné, Evarist. Decoupling. From dependence to independence. Randomly stopped processes. $U$-statistics and processes. Martingales and beyond. Probability and its Applications (New York). Springer-Verlag, New York, 1999. xvi+392 pp. ISBN: 0-387-98616-2 MR1666908
- Giné, Evarist; Götze, Friedrich; Mason, David M. When is the Student $t$-statistic asymptotically standard normal? Ann. Probab. 25 (1997), no. 3, 1514--1531. MR1457629
- Griffin, Philip S.; Mason, David M. On the asymptotic normality of self-normalized sums. Math. Proc. Cambridge Philos. Soc. 109 (1991), no. 3, 597--610. MR1094756
- Hahn, Marjorie G.; Klass, Michael J. Matrix normalization of sums of random vectors in the domain of attraction of the multivariate normal. Ann. Probab. 8 (1980), no. 2, 262--280. MR0566593
- Horn, Roger A.; Johnson, Charles R. Matrix analysis. Cambridge University Press, Cambridge, 1985. xiii+561 pp. ISBN: 0-521-30586-1 MR0832183
- Maller, R. A. Quadratic negligibility and the asymptotic normality of operator normed sums. J. Multivariate Anal. 44 (1993), no. 2, 191--219. MR1219203
- Vu, H. T. V.; Maller, R. A.; Klass, M. J. On the Studentisation of random vectors. J. Multivariate Anal. 57 (1996), no. 1, 142--155. MR1392582
- Sepanski, Steven J. Probabilistic characterizations of the generalized domain of attraction of the multivariate normal law. J. Theoret. Probab. 7 (1994), no. 4, 857--866. MR1295543
- Sepanski, Steven J. Asymptotics for multivariate $t$-statistic for random vectors in the generalized domain of attraction of the multivariate normal law. Statist. Probab. Lett. 30 (1996), no. 2, 179--188. MR1417005

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