Publications

  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. Zero-one laws for non-Gaussian measures Proc. Amer. Math. Soc. 44 , 1, (1974) 179-185.

  3. Admissible translates of stable measures Studia Mathematica 54 , (1976) 245-257.

  4. Admissible and singular translates of measures on vector spaces Trans. Amer. Math. Soc. 221 (1976) 199-211 (with A. Gleit).

  5. Recurrence of stationary sequences, Ann. of Probability 4 (1976) 372-381 (with D. Geman and J. Horowitz).

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

  7. On the increments of multidimensional random fields, Ann. Probability 6 (1978) 151-158 (with D. Geman).

  8. 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).

  9. 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).

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

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

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

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

  14. 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).

  15. 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), 324-339.

  16. 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).

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

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

  19. 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).

  20. Comparison of martingale difference sequences, Probability in Banach spaces, V (Medford, Mass., 1984) Lecture Notes in Math., 1153 (1984-5), 453-457.

  21. 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).

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

  23. A version of Chevet's theorem for stable processes, Journal of Functional Analysis, 63 (1985), 47-73 (with E. Giné and M. Marcus).

  24. Best constants in moment inequalities for linear combinations of independent and exchangeable random variables, Ann. of Prob., 1 (1985), 234-253 (with W. B. Johnson and G. Schechtman).

  25. On the approximation of p-homogeneous functions in Banach spaces, in Homentage a F. Sales, (1985) Ed. de la Universitat de Barcelona, Barcelona 1985 78-87 (with E. Giné).

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

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

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

  29. 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).

  30. 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).

  31. 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).

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

  33. 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).

  34. On the volume of the intersection of two Lpn balls, Proceedings of the AMS 110 (1990) 217-224 (with G. Schechtman).

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

  36. 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).

  37. Continuity of l2-valued Ornstein-Uhlenbeck processes, Ann. Prob. 18 (1990) 68-84 (with I. Iscoe, M. B. Marcus, D. McDonald and M. Talagrand).

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

  39. 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).

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

  41. Uniform and Universal Glivenko-Cantelli Classes, Journal of Theoretical Probability 4 (1991) 485-510 (with R. M. Dudley, E. Giné).

  42. 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).

  43. On Hoffmann-Jørgensen's inequality for U-processes Probability in Banach spaces, 8, Bowdoin, Maine (1991), Progr. Probab. 30 (1992) 80-91 (with E. Giné).

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

  45. 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).

  46. Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities Trans. Amer. Math. Soc. 349 (1997) 997-1027, (with T. Figiel, P. Hitczenko, W. Johnson and G. Schechtman).

  47. On the Gaussian measure of the intersection of symmetric, convex sets, Ann. of Probab. 26 (1998) 346-357, (with G. Schechtman and Th. Schlumprecht).

  48. Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables, Electronic Jour. of Probab. 3 (1998) 26 pages (with P. Hitczenko, S. Kwapien, W. Li, G. Schechtman and Th. Schlumprecht).

  49. Nonhomogeneous Poisson Processes and Logconcavity, PEIS (Probability in the Engineering and Informational Sciences) 14 (2000) 353-373, (with F. Pellerey and M. Shaked).

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

  51. Concentration on the lpn ball. (with G. Schechtman) Lecture Notes in Math. (Geometrical Aspects of Funct. Analysis) 1745 (2000) 245-256.

  52. Exponential and Moment Inequalities for U-statistics. High Dimensional Probability II - Progress in Probability, Birkhauser (2000) 13-38 (with E. Giné and R. Latala).

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

  54. Probabilistic Limit Theorems, Handbook of the geometry of Banach spaces, Vol. 2, North Holland (2003) (with M. Ledoux).

  55. Consistent specification tests for semiparametric/nonparametric models based on series estimation methods, (with Qi Li and Cheng Hsiao). Journal of Econometrics, 112, no. 2, (2003) 295-325.

  56. 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.

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

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

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

  60. Abstract of Another View of the CLT in Banach Spaces (with Jim Kuelbs), Journal of Theoretical Probability, Volume 21, Number 4 / December, 2008, 982-1029

  61. 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.

  62. A CLT for Empirical Processes Involving Time Dependent Data (with J. Kuelbs and T. Kurtz) arXiv version (2010) 44 pages, but accepted in Annals of Probability (36 pages).

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