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Path properties of l_p-valued Gaussian random fields

Path properties of l_p-valued Gaussian random fields
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出处 《Science China Mathematics》 SCIE 2007年第10期1501-1520,共20页 中国科学:数学(英文版)
基金 This work was supported by NSERC Canada grants at Carleton University and by KOSEF-R01-2005-000-10696-0
关键词 l^p-valued Gaussian random field modulus of continuity large deviation probability regularly varying function l^p-valued Gaussian random field modulus of continuity large deviation probability regularly varying function
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  • 1Csorgo M., Shao, Q. M.: Strong limit theorems for large and small increments of l^p-valued Gaussian Processes. Ann. Probab., 21, 1958-1990 (1993).
  • 2Csaki, E., Csorgo, M., Shao, Q. M.: Fernique type inequalities and moduli of continuity for l^2-valued Ornstein-Uhlenbeck Processes. Ann. Inst. Henri Poincare Probabilities et Statistiques. 28, 479-517(1992).
  • 3Csaki, E., Csorgo, M., Shao Q. M.: Moduli of continuity for l^P-valued Gaussian processes. Acta Sci. Math.,60, 149-175 (1995).
  • 4Csaki, E., Csorgo, M.: Inequalities for increments of stochastic processes and moduli of continuity. Ann.Probab., 20, 1031-1052 (1992).
  • 5Lin, Z.: How big are the increments of l^P-valued Gaussian processes? Science in China (Series A), 40(4),337-349 (1997).
  • 6Shao, Q. M.: p-variation of Gaussian processes with stationary increments. Studia Sci. Math. Hungari.,31, 237-247 (1996).
  • 7Fernique X.: Continuitd des processus Gaussiens. C. R. Acad. Sci. Paris, t., 258, 6058-060 (1964).
  • 8Choi, Y. K., K6no, N.: How big are the increments of a two-parameter Gaussian process? J. Theoretical Probab., 12(1), 105-129 (1999).
  • 9Leadbetter, M. R., Lindgren G., Rootzen H.: Extremes and Related Properties of Random Sequences and Processes., Springer-Verlag, New York, 1983.

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