Cramér-type moderate deviation for quadratic forms with a fast rate-Reference-Cited by-同舟云学术

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Cramér-type moderate deviation for quadratic forms with a fast rate

Published:2023-08-01 Issue:3 Volume:29 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

Fang Xiao¹,Liu Song-Hao²,Shao Qi-Man³

Affiliation:

1. Department of Statistics, The Chinese University of Hong Kong, Hong Kong SAR

2. Department of Statistics and Data Science, Southern University of Science and Technology, Shenzhen, 518055, Guangdong, China

3. Department of Statistics and Data Science, SICM, National Center for Applied Mathematics Shenzhen, Southern University of Science and Technology, Shenzhen, 518055, Guangdong, China

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Subject

Statistics and Probability

Reference15 articles.

1. Aleškevičienè, A. and Statulevičius, V. (1997). Probabilities of large deviations in the approximation by ${\chi ^{2}}$ -law. Lith. Math. J. 37 301–309.

2. Bentkus, V. (2004). A Lyapunov type bound in ${\mathbf{R}^{d}}$ . Theory Probab. Appl. 49 311–323.

3. Bentkus, V. and Götze, F. (1997). Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces. Probab. Theory Related Fields 109 367–416. 10.1007/s004400050136

4. Bentkus, V. and Götze, F. (1999). Lattice point problems and distribution of values of quadratic forms. Ann. of Math. (2) 150 977–1027. 10.2307/121060

5. Berry, A.C. (1941). The accuracy of the Gaussian approximation to the sum of independent variates. Trans. Amer. Math. Soc. 49 122–136. 10.2307/1990053

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