1 Table of Contents: “... and processes 3. Foundations of uniform central limit theorems: Donsker classes 4. Vapnik-Cervonenkis...”

2 Subjects: “...Central limit theorem...”

3 Table of Contents: “...Measure theory -- Laws of large numbers -- Central limit theorems -- Martingales -- Markov chains...”

4 Table of Contents: “...Introduction -- Local central limit theorem -- Approximation by Brownian motion -- The Green...”

5 “... limit theorem to more advanced concepts such as exchangeability, models with a group structure...”

6 “..., generalized central limit theorem and extreme values statistics, random matrix theory and percolation theory...”

7 “..., Brownian motion, the law of large numbers and the central limit theorem, to aspects of ergodic theorems...”

8 “... theorems, the central limit theorem, conditional expectations and martingale's convergence. A chapter...”

9 “... such as the generalized central limit theorem and regular variation. It tracks the natural emergence of heavy-tailed...”

10 Table of Contents: “... limit theorems; 13. Conditioning; 14. Martingales; 15. Basic structure of stochastic processes...”

11 Table of Contents: “... product of C*-probability spaces; Part II. Cumulants: 8. Motivation: free central limit theorem; 9. Basic...”

12 Table of Contents: “....Truncating reversible processes -- 3.4.Maximum probability -- 3.5.A central limit theorem -- 3.6.Erlang fixed...”

13 Table of Contents: “... function ; 12.4. Random variables ; 12.5. The central limit theorem ; Further reading ; Exercises...”

14 Table of Contents: “... and the hypothesis -- 2.6. Other distributions -- 2.7. central limit theorem -- 2.8. Covariance and correlation...”

15 “... laws, central and non-central limit theorems for Gaussian functionals, convergence of densities and non...”

16 “...-range dependence and self-similarity; central and non-central limit theorems for long-range dependent...”