Central limit theorem in Banach spaces

  1. A note on the central limit theorem in Banach spaces Ann. Probability 5 (1977) 283-286.

  2. On the limit theorems for random variables with values in the spaces Lp (2<= p< infinity ), Z Wahrscheinlichkeitstheorie verw. Gebiete 41 (1978) 289-304 (with G. Pisier).

  3. On sums of independent random variables with values in Lp (2<= p < infinity), Lecture Notes in Math 709 Prob. in Banach Spaces I (1978) 111-124 (with E. Giné and V. Mandrekar).

  4. Central limit problem for symmetric case: Convergence to non-Gaussian laws, Studia Mathematica 67 (1980), 279-296 (with V. Mandrekar).

  5. On the accompanying law theorem in Banach spaces, Ann. Prob. 9 (1981), 202-210 (with A. Araujo, E. Giné and V. Mandrekar).

  6. Central limit theorems and weak laws of large numbers in certain Banach spaces Z. Wahrscheinlichkeitstheorie verw. Gebiete 62 (1983), 323-354 (with E. Giné).

  7. Some limit theorems for empirical processes, Ann. of Prob. 12 (1984) 929-989 (with E. Giné). Special Invited Paper.

  8. Lectures on the central limit theorem for empirical processes, Lecture Notes in Math. Springer, Berlin 1221 (1985-86), 50-113 (with E. Giné).

  9. Empirical processes indexed by Lipschitz functions, Ann. of Prob. 14 (1986) 1329-1338 (with E. Giné).

  10. A remark on the central limit theorem for random measures and processes, Proceedings of the IV Vilnius Conference on Probability and Mathematical Statistics, 1985, VNU Press, The Netherlands (1987) 483-487 (with E. Giné).

  11. The central limit theorem and the law of the iterated logarithm for empirical processes under local conditions, Prob. theory and Related Fields 77 (1988) 271-305 (with N. Andersen, E. Giné and M. Ossiander).

  12. The central limit theorem for empirical processes under local conditions: the case of Radon infinitely divisible limits without Gaussian component, Trans. Amer. Math. Soc. 309 (1988) 1-34 (with N. Andersen, E. Giné).

  13. Central limit theorems for the local time of certain Markov processes and the squares of Gaussian processes, Ann. of Probab. 18 (1990) 1126-1140 (with R. Adler and M. Marcus).

  14. Lp-multipliers in the central limit theorem with p-stable limit, Probability theory on vector spaces, IV 1987, Lecture Notes in Math., 1391 (1989) 74-81 (with E. Giné).

  15. On random multipliers for the central limit theorem with p-stable limit, 0 < p < 2 Probability in Banach spaces, 6 (Sandbjerg, 1986) Progr. Probab., 20 Birkhäuser Boston (1990) 120-149 (with E. Giné and M. Marcus).

  16. Universal Donsker classes and Type 2, Probability in Banach spaces, 6 (Sandbjerg, 1986, Denmark. Lecture Notes in Math., Progr. in Probab., 20 Birkhäuser, Boston (1990) 283-288.

  17. Gaussian characterization of uniform Donsker classes of functions Ann. Probab. 19 (1991), 758-782 (with E. Giné).

  18. Modified Empirical CLT's under only pre-Gaussian conditions (with S. Mendelson).IMS Lecture Notes-Monograph Series; High Dimensional Probability, 51, (2006) 173-184.

  19. Abstract of Another View of the CLT in Banach Spaces (with Jim Kuelbs), accepted in the Journal of Theoretical Probability, 37 pages.

  20. Interpolation spaces and the CLT in Banach spaces (with J. Kuelbs) IMS Lecture Notes-Monograph Series; High Dimensional Probability V: The Luminy Volume, 5, (2009) 73-83.

  21. A CLT for Empirical Processes Involving Time Dependent Data (with J. Kuelbs and T. Kurtz) Submitted, (2010) 44 pages.

  22. Empirical Quantile CLT's for Time Dependent Data (with J. Kuelbs) arXiv version (2011) 52 pages.