Limit Theorems

  1. An invariance principle for lattices of dependent random variables and certain rates of convergence, (1972), Ph.d. Thesis. University of Wisconsin, Madison, Wisconsin.

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

  3. 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).

  4. 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).

  5. Some stability results for vector valued random variables, Ann. of Prob. 7 (1979) 75-84. (with J. Kuelbs).

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

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

  8. Convergence to a stable distribution via order statistics, Ann. of Prob. 9 (1981), 624-632 (with R. LePage and M. Woodroofe).

  9. Some results on the LIL in Banach space with applications to weighted empirical processes, Ann. of Prob. (Special Invited Paper) 9 (1981), 713-752 (with V. Goodman and J. Kuelbs).

  10. Inequalities in Banach spaces with applications to probabilistic limit theorems-a survey, Lecture Notes in Math Springer-Verlag, Berlin 860 . For proceedings of 3rd conference on probability on Banach spaces, Tufts University, (1981), 324-239.

  11. Some additional stability results for vector valued random variables, Colloques Internationaux du C.N.R.S,. Paris 307 . Les aspects statistiques et les aspects physiques des Processus Gaussiens. (1981) 461-469 (with J. Kuelbs).

  12. Some results on LIL bahavior Ann. of Prob. 11 (1983), 506-558 (with J. Kuelbs).

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

  14. Limit theorems for random sets: An application of probability in Banach space results, Probability in Banach spaces, IV (Oberwolfach 1982), Lecture Notes in Math., Springer, Berlin-New York 990 (1983) 112-135 (with E. Giné and M. Hahn).

  15. The bounded law of the iterated logarithm for the weighted empirical distribution process in the non-i.i.d. case, Ann. of Prob. 12 (1984), 335-360 (with M.Marcus).

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

  17. The law of large numbers for partial sum processes indexed by sets, Ann. of Prob. 15 (1985), 154-163 (with E. Giné).

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

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

  20. 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).

  21. 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).

  22. 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).

  23. Necessary conditions for the bootstrap of the mean Ann. Stat. 17 (1989) 684-691 (with E. Giné).

  24. 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).

  25. Bootstrapping general empirical measures Ann. Prob. 18 (1990) 851-869 (with E. Giné).

  26. 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).

  27. 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.

  28. 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).

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

  30. Uniform and Universal Glivenko-Cantelli Classes, Journal of theoretical probability 4 (1991) 485-510 (with R. M. Dudley, E. Giné).

  31. Marcinkiewicz type laws of large numbers and convergence of moments for U-statistics, Probability in Banach spaces ,8, Bowdoin, Maine (1991), Progr. Probab. 30 (1992) 273-291 (with E. Giné).

  32. A remark on convergence in distribution of U-statistics Ann. of Probab. 22 (1994) 117-125, (with E. Giné).

  33. Laws of large numbers for quadratic forms, maxima of products and truncated sums of i.i.d. random variables Ann. of Probab. 23 (1995) 292-333, (with J. Cuzick and E. Giné).

  34. Necessary and sufficient conditions for the strong law of large numbers for U-statistics, (with R. Latala), Ann. of Probab. 28 (2000) 1908-1924.

  35. The LIL for canonical U-statistics of order 2. (with E. Giné, R. Latala and S. Kwapien) 29 (2001) 520-557.

  36. On the limit set in the law of the iterated logarithm for U-statistics of order two (with S. Kwapien, R. Latala and K. Oleszkiewicz). High dimensional probability, III (Sandjberg, 2002), 111--126, Progr. Probab., 55, Birkhauser, Basel, 2003.

  37. Weighted uniform consistency of kernel density estimators, (with E. Giné and V. Koltchinskii). Ann. of Probab. , 32, (2004) 2570-2605.

  38. When Does a Randomly Weighted Self-normalized Sum Converge in Distribution? (D. Mason). Electronic Communications in Probability, 10, (2005) 70-81.

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

  40. Abstract of Another View of the CLT in Banach Spaces (with Jim Kuelbs), J. Theoret. Probab., 4, (2008) 982-1029.

  41. 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.

  42. A CLT for Empirical Processes Involving Time Dependent Data (with J. Kuelbs and T. Kurtz) Accepted in Ann. Probab., (2010) 44 pages, AOP version, 36 pages.

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