Publications

Available for download as indicated below.

  1. On the central limit theorem for sample continuous processes. Ann. Probability2 (1974) 629-641.

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  2. On quadratic variation of processes with Gaussian increments. Ann. Probability3 (1975) 716-721. With R. Klein.

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  3. The addition formula for the eigenfunctions of the Laplacian. Advances in Math. 18 (1975) 102-107.

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  4. Invariant tests for uniformity on compact manifolds based on Sobolev norms. Ann. Statist. 2 (1975) 1243-1266.

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  5. Statistical tests for preferred orientation. J. Geology 83 (1975) 685-705. With R. Dudley and P. Perkins.

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  6. Bounds for the speed of convergence in the central limit theorem in C(S). Zeits. Wahrs. v. Geb. 36 (1976) 317-331.

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  7. Some remarks on the central limit theorem in C(S). Lecture Notes in Math. 526 (1976) 101-106.

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  8. Survey on the central limit problem. In Séminaire sur la géométrie des espaces de Banach, école Polytechnique, 1977-78. Exposé XXIV, 1-17. Paris.

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  9. On the linear programming approach to the optimality property of Prokhorov's distance. J. Math. Analysis Appl. 60 (1977) 596-600. With U. Garcia-Palomares.

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  10. On the central limit theorem in Hilbert spaces. Stochastica 4 (1980) 43-71. With J. R. Le&eocuten (Submitted 1977).

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  11. Type, cotype and L&eacutevy measures on Banach spaces. Ann. Probability6 (1978) 637-643. With A. Araujo.

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  12. On Poisson measures, Gaussian measures and the central limit theorem in Banach spaces. Advances in Probability IV (1978) 1-68. (Probability on Banach Spaces). With A. de Acosta and A. Araujo.

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  13. On tails and domains of attraction of stable measures on Banach spaces. Trans. Amer. Math. Soc. 248 (1979) 105-119. With A. Araujo.

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  14. Convergence of moments and related functionals in the general central limit theorem in Banach spaces. Zeits. Wahrs. v. Geb. 48 (1979) 213-231. With A. de Acosta.

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  15. On sums of independent random variables with values in Lp(2<p<&inf;) Lecture Notes in Math. 709 (1979) 111-124. With V. Mandrekar and J. Zinn.

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  16. Domains of attraction in Banach spaces. Lecture Notes in Math. 721(1979) 22-40.

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  17. Sums of independent random variables and sums of their squares. Pub. Sec. Mat., Universitat Aut&242;noma de Barcelona 22 (1980) 127-132.

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  18. Domains of attraction in several dimensions. Ann. Inst. H. Poincaré16 (1980) 87-100. Correction, ibid., 17 (1981) 143-145.

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  19. The Central Limit Theorem for Real and Banach Valued Random Variables. Wiley, New York 1980. With A. Araujo.

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  20. On the central limit theorem in C(K). In Aspects Statistiques et Aspects Physiques des Processus Gaussiens pp. 361- 383. &Eacuted. du CNRS, Paris 1981. With M. B. Marcus.

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  21. Central limit theorems in Banach spaces: a survey. Lecture Notes in Math. 860 (1981) 138-152.

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  22. On the accompanying laws theorem in Banach spaces. Ann. Probability9 (1981) 202-210. With A. Araujo, V. Mandrekar and J. Zinn.

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  23. Some results on domains of attraction of stable measures in C(K). Probability and Math. Statist. 2 (1982) 125-147. With M. B. Marcus. (Submitted 1979).

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  24. The central limit theorem for stochastic integrals with respect to L&eacutevy processes. Ann. Probability 11 (1983) 58-77. With M. B. Marcus.

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  25. Central limit theorems and weak laws of large numbers in certain Banach spaces. Zeits. Wahrs. v. Geb. 62 (1983) 323-354. With J. Zinn.

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  26. The L&eacutevy-Lindeberg CLT in Lp ,0<p<1. Proc. Amer. Math. Soc. 88 (1983) 147-153.

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  27. On stability of probability laws with stable marginals. Zeits. Wahrs. v. Geb. 64 (1983) 157-165. With M. Hahn.

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  28. Large deviations in spaces of stable stype. Ann. Inst. H. Poincaré19 (1983) 267-279.

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  29. A counterexample on domains of attraction in Banach spaces. Lecture Notes in Math. 990 (1983) 102-111.

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  30. Limit theorems for random sets: an application of Probability in Banach spaces. Lecture Notes in Math. 990 (1983) 112-135. With M. Hahn and J. Zinn.

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  31. Some limit theorems for empirical processes. Special Invited Paper in Ann. Probability 12 (1984) 929-989. With J. Zinn.

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  32. Characterization and domains of attraction of p-stable random sets. Ann. Probability 13 (1985) 447-468. With M. Hahn.

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  33. A version of Chevet's theorem for stable processes. J. Functional Analysis63 (1985) 47-73. With M. Marcus and J. Zinn.

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  34. The L&eacutevy-Khinchin formula for compact convex random sets which are infinitely divisible under Minkowski addition. Zeits. Wahrs. v. Geb. 70 (1985) 271-287.

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  35. On the approximation of p-homogeneous functions in Banach spaces. In Homenatge a Francesc d'A. Sales, pp. 78-87. Universitat de Barcelona, Barcelona 1985. With J. Zinn.

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  36. M-infinitely divisible random compact convex sets. Lecture Notes in Math 1153 (1985) 226-247. With M. Hahn.

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  37. Lectures on the Central Limit Theorem for empirical processes. Lecture Notes in Math 1221 (1986) 50-113. With J. Zinn.

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  38. Empirical processes indexed by Lipschitz functions. Ann. Probability14 (1986) 1329-1338. With J. Zinn.

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  39. A remark on the central limit theorem for random measures and processes. Prob. Theory and Math Statist. 1 (1986) 483-487. With J. Zinn.

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  40. The law of large numbers for partial sum processes indexed by sets. Ann. Probability 15 (1987) 154-163. With J. Zinn.

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  41. The central limit theorem and the law of iterated logarithm for empirical processes under local conditions. Probability Theory Rel. Fields77 (1988) 271-305. With N. Andersen, M. Ossiander, J. Zinn.

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  42. The central limit theorem for empirical processes under local conditions. The case of Radon infinitely divisible limits without Gaussian component. Trans. Amer. Math Soc.308 (1988) 603-635. With N. Andersen and J. Zinn.

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  43. Necessary condition for the bootstrap of the mean. Ann. Statist.17 (1989) 684-691. With J. Zinn.

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  44. The bootstrap of the mean with aribitrary bootstrap sample size. Ann Inst. H. Poincaré 25 (1989) 457-481. With M. Arcones.

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  45. Discussion of D. Pollard's paper, "Asymptotics via empirical processes". Statistical Science 4 (1989) 355-356. With J. Zinn.

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  46. Lp multipliers in the central limit theorem with p-stable limit. Lecture Notes in Math. 1391 (1989) 74-81. With J. Zinn.

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  47. On random multipliers in the central limit theorem with p-stable limit, 0<p<2. In Probability in Banach Spaces 6 pp.120-149. Birkhauser, Boston 1990. With M. Marcus and J. Zinn.

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  48. Bootstrapping general empirical processes. Ann. Probability 18 (1990) 851-869. With J. Zinn.

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  49. On sample continuity of max infinitely divisible and max-stable processes. Probability Theory Rel. Fields 87 (1990) 139-165. With M.Hahn and P.Vatan.

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  50. Gaussian characterization of uniform Donsker classes of functions. Ann. Probability 19 (1991) 758-782. With J. Zinn. Correction.

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  51. Some bootstrap tests of symmetry for univariate continuous distributions. Ann. Statist. 19 (1991) 1496-1511. With M. Arcones.

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  52. Uniform and universal Glivenko-Cantelli classes. J. Theoret. Probability4 (1991) 485-510. With R. M. Dudley and J. Zinn.

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  53. Addition and correction to "The bootstrap of the mean with arbitrary bootstrap sample size." Ann. Inst. H. Poincaré 27 (1991) 583-595. With M. Arcones.

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  54. On the bootstrap of U and V statistics. Ann. Statist. 20 (1992) 655-674. With M. Arcones.

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  55. On decoupling, series expansions and tail behavior of chaos processes. J. Theoret. Probability 6 (1992) 101-122. With M. Arcones.

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  56. On the bootstrap of M-estimators and other statistical functionals. In Exploring the Limits of Bootstrap, pp. 13-47. R. LePage and L. Billard eds. Wiley, New York, 1992. With M. Arcones.

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  57. On Hoffmann-Jørgensen's inequality for U-processes. In Probability in Banach spaces 8, Birkhauser Progress in Probability Series, Vol. 30, pp. 80-91, (R. Dudley, J. Kuelbs, M. Hahn eds.), Boston, 1992. With J. Zinn.

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  58. Limit theorems for U-processes. Ann. Probability 21 (1993) 1494-1542. With M. Arcones.

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  59. Marcinkiewicz type laws of large numbers and convergence of moments for U-statistics. In Probability in Banach spaces 8, Birkhauser Progress in Probability Series, Vol. 30, pp. 273-291, (R. Dudley, J. Kuelbs, M. Hahn eds.), Boston, 1992. With J. Zinn.

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  60. U-processes indexed by Vapnik-Cervonenkis classes of functions with applications to asymptotics and bootstrap of U-statistics with estimated parameters. Stochastic Procs. Appl.52 (1994) 17-38. With M. Arcones.

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  61. A remark on convergence in distribution of U-statistics. Ann. Probability22 (1994) 117-125. With J. Zinn.

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  62. Estimators related to U-processes with applications to multivariate medians: asymptotic normality. Ann. Statist.} 22 (1994) 1460-1477. With M. Arcones and Z. Chen.

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  63. Laws of large numbers for quadratic forms, maxima of products and truncated sums of i.i.d. random variables. Ann. Probab.23, 292-334. With J. Cuzick and J. Zinn.

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  64. Processos emp&iacuterics i aplicacions: visió general amb biaix. But. Soc. Catalana Mat. 9 (1994) 7-34.

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  65. Bootstrap goodness of fit tests based on the empirical distribution function. Proc. Conference on the Interface, 1993, pp. 228-233. Interface Foundation of North America, 1994. Tarter M. and Look, M., eds. With D. Alemayehu and V. de la Peña.

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  66. On the law of the iterated logarithm for canonical U-statistics and U-processes. Stoch. Procs. Appl.58 (1995) 217-245. With M. Arcones.

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  67. Empirical processes and applications: an overview. Bernoulli 2 (1996) 1-28.

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  68. On integrability in the LIL for degenerate U-statistics. J. Theor. Probab. 9 (1996) 385--412. With C.-H. Zhang.

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  69. When is the Student t-statistic asymptotically standard normal?. With F. Götze and D. Mason. Ann. Probab. 26 (1997) 1514-1531.

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  70. On the LIL for self-normalized sums of i.i.d. random variables. With. D. M. Mason. J. Theoret. Probab., to appear.

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  71. Lectures on some aspects of the bootstrap. Lecture Notes in Math 1665 (1997) 37-152. école d'été de Probabilités de Saint-Flour, XXVI-1996'. Correction.

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  72. Decoupling and limit theorems for U-statistics and processes. Lecture Notes in Math 1665 (1997) 1-36. &Eacutecole d'&Eacuteté de Probabilit&eacutes de Saint-Flour, XXVI-1996'.

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  73. Random matrix approximation of spectra of integral operators. Bernoulli, 6 (2000) 113-167. I. Koltchinskii.

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  74. Uniform convergence in some limit theorems for multiple particle systems. With J. Wellner. Stoc. Proc. Appl. 72 (1997) 47-72.

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  75. A consequence for random polynomials of a result of de la Peña and Mongomery-Smith. Progress in Probability 43 (1998) 103-110. [Procedings of Conference on Probability in Several Dimensions, Oberwolfach, 1997]

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  76. Decoupling: from dependence to independence. Springer, New York, 1999. With V. de la Peña.

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  77. The central limit theorem for the Wasserstein distance between the empirical and the true distributions. Ann. Probab. 27 (1999) 1009-1971. With E. del Barrio and C. Matrán.

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  78. Laws of the iterated logarithm for censored data. Ann. Probability27 (1999) 2042-2067. With A. Guillou.

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  79. The LIL for canonical U-statistics of order 2. Ann. Probability29 (2001) 520-557. With S. Kwapien, R. Latala and J. Zinn.

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  80. A law of the iterated logarithm for kernel density estimators in the presence of censoring. Ann Inst. H. Poincaré  37 (2001) 503-522. With A. Guillou.

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  81. Exponential and moment inequalities for U-statistics.  High Dimensional Probability 2, Progress in Probability 47 (2000) 13-38. With R. Latala and J. Zinn.

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  82. High Dimensional Probability 2 Birkhauser,  Progress in Probability 47, 2000. Coeditor together with D. Mason and J. Wellner.

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  83. Rates of Strong Uniform Consistency for Multivariate Kernel Density Estimators.   Ann Inst. H. Poincaré 38 (2002) 907-921. With A.  Guillou.

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  84. The L1-norm density estimator process.. Ann. Probab. 31 (2003) 719-768. With D. M. Mason and A. Zaitsev.

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  85. Weighted uniform consistency of kernel density estimators.. Ann. Probab. 32 (2004) 2570-2605. With V.I. Koltchinskii and J. Zinn.

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  86. The law of the iterated logarithm for the integrated squared deviation of a kernel density estimator. Bernoulli 10 (2004) 721-752. With D. Mason.

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  87. Kernel density estimators: convergence in distribution for weighted sup norms. Probab. Theory Rel. Fields 130 (2004) 167-199. With V. I. Koltchinskii and L. Sakhanenko.

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  88. Asymptotics for L2 functionals of the quantile process with applications to tests of fit based on Weighted Wasserstein distances. Bernoulli. 11 (2005) 131-189. With E. del Barrio. and F. Utzet

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  89. Convergence in distribution of Self-Normalized Sup-Norms of Kernel Density Estimators. With V. I. Koltchinskii and L. Sachanenko. High Dimensional Probability III pp. 241-254. Birkhäuser, Basel.

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  90. Ratio limit theorems for empirical processes.. With V. I. Koltchinskii and J. Wellner. Stochastic Inequalities and Applications pp. 249-278. Birkhäuser, Basel.

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  91. Another approach to asymptotics and bootstrap of randomly trimmed means. With Zhiqiang Chen. Annals of the Institute of Statistical Mathematics 56 (2004) 771-790.

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  92. Stochastic Inequalities and Applications. Co-Editor with C. Houdré and D. Nualart. Birkhäuser, Basel, 2003.

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  93. Concentration inequalities and asymptotic results for ratio type empirical processes. With V. I. Koltchinskii. Ann. Probab. 34 (2006) 1143-1216

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  94. On the asymptotic normality of the multidimensional t-statistic for symmetric variables. With F. Götze. Electronic Comm. Probab. 9 (2004) 162-171.

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  95. On local U-statistic processes and the estimation of densities of functions of several variables. with D. Mason. Ann. Statist 35 (2007) 1105-1145

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  96. Laws of the iterated logarithm for the local U-statistic process. with D. Mason. J. Theoret. Probab. 20 (2007) 457-485

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  97. Empirical graph Laplacian approximation of Laplace-Beltrami operators: large sample results. with V.I. Koltchinskii. Proceedings of the 4th International Conference on High Dimensional Probability., pp. 238-259. IMS Lecture Notes 51, Beachwood, OH

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  98. Uniform central limit theorems for kernel density estimators. With R. Nickl. To appear in Probability Theory and Related Fields, 2008.

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  99. A simple adaptive estimator of the integrated square of a density. With R. Nickl. Bernoulli 14 (2008) 47-61

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  100. An exponential inequality for the distribution function of the kernel density estimator, with applications to adaptive estimation. With R. Nickl. to appear in Probability Theory and Related Fields.

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  101. Uniform in bandwidth estimation of integral functionals of the density function. With D. Mason. To appear in Skandinavian J. Statist.


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