Cramér type moderate deviations for the Grenander estimator near the boundaries of the support-Reference-Cited by-同舟云学术

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Cramér type moderate deviations for the Grenander estimator near the boundaries of the support

Published:2023-11-01 Issue:4 Volume:29 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

Gao Fuqing¹,Jiang Hui²,Zhao Xingqiu³

Affiliation:

1. School of Mathematics and Statistics, Wuhan University, Wuhan, China

2. School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China

3. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Subject

Statistics and Probability

Reference32 articles.

1. Shao, Q.-M. and Zhou, W.-X. (2016). Cramér type moderate deviation theorems for self-normalized processes. Bernoulli 22 2029–2079. 10.3150/15-BEJ719

2. Prakasa Rao, B.L.S. (1969). Estimation of a unimodal density. Sankhyā Ser. A 31 23–36.

3. Chang, J., Shao, Q.-M. and Zhou, W.-X. (2016). Cramér-type moderate deviations for Studentized two-sample U-statistics with applications. Ann. Statist. 44 1931–1956. 10.1214/15-AOS1375

4. Fan, X., Grama, I., Liu, Q. and Shao, Q.-M. (2019). Self-normalized Cramér type moderate deviations for martingales. Bernoulli 25 2793–2823. 10.3150/18-BEJ1071

5. Fang, X., Luo, L. and Shao, Q.-M. (2020). A refined Cramér-type moderate deviation for sums of local statistics. Bernoulli 26 2319–2352. 10.3150/20-BEJ1195

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