摘要
We establish non-uniform Berry-Esseen bounds for martingales under the conditional Bernstein condition. These bounds imply Cramer type large deviations for moderate x's, and are of exponential decay rate as de la Pena's inequality when x -> 8. Statistical applications associated with linear regressions and self-normalized large deviations are also provided.
- 出版日期2017
- 单位天津大学