Geodesic
Moderate deviations for Student's statistic
Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 3, pp. 518-532

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For self-normalized sums, say $S_n/V_n$, under symmetry conditions we consider Linnik-type zones, where the ratio $\mathbf{P}\{S_n/V_n\ge x\}/(1-\Phi(x))$ converges to 1, and establish optimal bounds for remainder terms related to this convergence.
Keywords: Linnik zones, self-normalized sum, t-statistic, moderate deviations, nonuniform bounds. 
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     author = {G. P. Chistyakov and F. G\"otze},
     title = {Moderate deviations for {Student's} statistic},
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     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2002_47_3_a4/}
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G. P. Chistyakov; F. Götze. Moderate deviations for Student's statistic. Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 3, pp. 518-532. http://geodesic.mathdoc.fr/item/TVP_2002_47_3_a4/