@article{AIHPB_1993__29_4_485_0, author = {Goodman, V. and Kuelbs, J.}, title = {Gaussian chaos and functional laws of the iterated logarithm for {Ito-Wiener} integrals}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {485--512}, publisher = {Gauthier-Villars}, volume = {29}, number = {4}, year = {1993}, mrnumber = {1251138}, zbl = {0805.60027}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1993__29_4_485_0/} }
TY - JOUR AU - Goodman, V. AU - Kuelbs, J. TI - Gaussian chaos and functional laws of the iterated logarithm for Ito-Wiener integrals JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1993 SP - 485 EP - 512 VL - 29 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1993__29_4_485_0/ LA - en ID - AIHPB_1993__29_4_485_0 ER -
%0 Journal Article %A Goodman, V. %A Kuelbs, J. %T Gaussian chaos and functional laws of the iterated logarithm for Ito-Wiener integrals %J Annales de l'I.H.P. Probabilités et statistiques %D 1993 %P 485-512 %V 29 %N 4 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPB_1993__29_4_485_0/ %G en %F AIHPB_1993__29_4_485_0
Goodman, V.; Kuelbs, J. Gaussian chaos and functional laws of the iterated logarithm for Ito-Wiener integrals. Annales de l'I.H.P. Probabilités et statistiques, Tome 29 (1993) no. 4, pp. 485-512. http://www.numdam.org/item/AIHPB_1993__29_4_485_0/
[AG] On Decoupling, Series Expansions, and Tail Behaviour of Chaos Processes, preprint, 1991. | MR
and ,[Ba] Large Deviations and Functional Iterated Logarithm Law for Diffusion Processes, Probab. Th. Rel. Fields, Vol. 71, 1986, pp. 435-453. | MR | Zbl
,[BO78] Tail Probabilties on Gauss Space, Lecture Notes in Math., Vol. 644, 1978, p. 73-82, Springer, Berlin. | MR | Zbl
,[CK] Convergence en loi et lois du logarithme itere pour vecteurs Gaussiens, Z. Wahrscheinlichkeitstheorie und verw. Gebiete, 1976, pp. 241-267. | MR | Zbl
and ,[D] Almost Sure Approximations for U Statistics, preprint, 1989. | MR
,[GK91] Rates of Clustering for Some Gaussian Self-Similar Processes, Probab. Th. Rel. Fields, Vol. 88, 1991, pp. 47-75. | MR | Zbl
and ,[GK92] Rates of Clustering for Weakly Convergent Gaussian Vectors and Some Applications, Probab. on Banach Spaces, Vol. 8, 1992, pp. 304-324, Birkhauser. | MR | Zbl
and ,[G92] Exact Rate of Convergence in Strassen's law of the Iterated Logarithm, Journal of Theor. Probab., Vol. 5, 1992, pp. 197-204. | MR | Zbl
,[LT] Probability on Banach Spaces, Springer, Berlin, 1990. | Zbl
and ,[MO86] The Law of the Iterated Logarithm for Self-Similar Processes Represented by Multiple Wiener Integrals, Probab. Th. Rel. Fields, Vol. 71, 1986, pp. 367-391. | MR | Zbl
and ,[MO87] The Functional Iterated Logarithm Law for Stochastic Processes Represented by Multiple Wiener Integrals, Probab. Th. Rel. Fields, Vol. 72, 1987, pp. 299-310. | MR | Zbl
and ,[PK] Martingales and Stochastic Integrals, Cambridge University Press, Cambridge. | MR | Zbl
,[T92] On the Rate of Clustering in Strassen's LIL for Brownian Motion, Probability on Banach Spaces, Vol. 8, 1992, pp. 339-347, Birkhauser. | MR | Zbl
,