Lai, Tze Leung
Self-Normalized Processes
I. Independent Random Variables
1. Introduction
2. Classical Limit Theorems, Inequalities and Other Tools
3. Self-Normalized Large Deviations
4. Weak Convergence of Self-Normalized Sums
5. Stein's Method and Self-Normalized Berry–Esseen Inequality
6. Self-Normalized Moderate Deviations and Laws of the Iterated Logarithm
7. Cramér-Type Moderate Deviations for Self-Normalized Sums
8. Self-Normalized Empirical Processes and
II. Martingales and Dependent Random Vectors
9. Martingale Inequalities and Related Tools
10. A General Framework for Self-Normalization
11. Pseudo-Maximization via Method of Mixtures
12. Moment and Exponential Inequalities for Self-Normalized Processes
13. Laws of the Iterated Logarithm for Self-Normalized Processes
14. Multivariate Self-Normalized Processes with Matrix Normalization
III. Statistical Applications
15. The
16. Self-Normalization for Approximate Pivots in Bootstrapping
17. Pseudo-Maximization in Likelihood and Bayesian Inference
18. Sequential Analysis and Boundary Crossing Probabilities for Self-Normalized Statistics
Nyckelord: MATHEMATICS / General MAT000000
- Författare
- Lai, Tze Leung
- Peña, Victor H.
- Shao, Qi-Man
- Utgivare
- Springer
- Utgivningsår
- 2009
- Språk
- en
- Utgåva
- 1
- Kategori
- Naturvetenskaper
- Format
- E-bok
- eISBN (PDF)
- 9783540856368