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Limit theorems for partial sum processes of a Gaussian Sequence

Yong-Kab Choi, Kyo-Shin Hwang, Hee-Jin Moon, Tae-S
대한수학회 (The Korean Mathematical Society)|2004.11|대한수학회지 (Journal of the KMS)|제41권 제6호

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참고문헌

주제분류수학

초록

Abstract

In this paper we establish limsup and liminf theoremsfor the increments of partial sum processes of a dependentstationary Gaussian sequence.

참고문헌 (20)

  1. "S. A. Book andT. R. Shore \paper On large intervals in the Cs\ org\Ho-R\'ev\'esz theorem on increments of a Wiener process \jour Z.Wahrsch. Verw. Gebiete \vol 46\yr 1978\pages 1--11"
  2. "paper Asymptotic behaviors for partial sum processes of a Gaussian sequence", 103(1-2), pp.43~54 (2004)
  3. "\paper Almost surelimit theorems for the maximum of stationary Gaussian sequences", 58, pp.195~203 (2002)
  4. "\paper A glimpse of P\'al Erd\'al Erd\"os's impact on probability and statistics", 30(4) (2002)
  5. "org\H o and P. R\'ev\'esz \book StrongApproximations in Probability and Statistics \publ Academic Press\publaddr New York \yr 1981"
  6. "org\H o and J. Steinebach \paper ImprovedErd\", 9
  7. "P. Deheuvels and J. Steinebach \paper Exactconvergence rates in strong approximation laws for largeincrements of partial sums \jour Probab. Theory Related Fields\vol 76 \pages 369--393 \yr 1987"
  8. "paper On one-sided strong laws for", 37, pp.155~165 (1998)
  9. "os-type theorems for sums of Gaussian variables withlong-range dependence", 63, pp.117~137 (1996)
  10. "paper Maxima ofincrements of partial sums for certain subexponentialdistributions", 86, pp.307~322 (2000)
  11. "G. Lindgren and H. Rootzen \bookExtremes and Related Properties of Random Sequences and Processes\publ Springer-Verlag\publaddr New York\yr 1983"
  12. "paper A normal comparisoninequality^its applications", 122, pp.494~508 (2002)
  13. "book Path properties of Gaussianprocesses" (2001)
  14. "org\H o-R\'ev\'esz's incrementsof sums of non-i.i.d. random variables \jour Scientia Sinica"
  15. "On increments of sums of independentnon-identically distributed random variables \jour Scientia Sinica"
  16. "paper Somelimit theorems on the increments of a multi-parameter fractionalBrownian motion", pp.499~517 (2001)
  17. "Z. Y. Lin and Q. M. Shao \paper On the limitingbehaviors of increments of sums of random variables without momentconditions \jour Chinese Ann. Math. \vol 14B \issue 3 \yr 1993\pages 307--318"
  18. "J. Steinebach \paper On the increments of partialsum processes with multidimensional indices \jour Z. Wahrsch.Verw. Gebiete \vol 63 \pages 59--70 \yr 1983"
  19. "os-R\'enyi and strongapproximation laws for increments of renewal processes \jour Ann.Probab. \vol 14 \issue 2 \pages 547--559 \yr 1986"
  20. "paper Self-normalized lag increments", 58, pp.41~51 (2002)

관련 논문AI추천

Limit theorems for partial sum processes of a Gaussian sequence백종일, 최용갑, Hee-Jin Moon, Kyo-Shin Hwang, Tae-Sung Kim대한수학회 · 대한수학회지2004 · 제41권 제6호Limit behaviors for the increments of a $d-$dimensional multi-parameter Gaussian process문희진, 성화상, 최용갑, 황교신, Zhengyan Lin대한수학회 · 대한수학회지2005 · 제42권 제6호A law of the iterated logarithm for $l^{\,^p}$-valued Gaussian random fields문희진, 최용갑, 황교신대한수학회 · 대한수학회지2007 · 제44권 제6호On the increments of a $d$-dimensional Gaussian process황교신, Zhengyan Lin대한수학회 · 대한수학회지2005 · 제42권 제6호On a functional central limit theorem for stationary linear processes generated by associated processes고미화, Tae-Sung Kim대한수학회 · 대한수학회보2003 · 제40권 제4호Functional central limit theorems for multivariate linear processes generated by dependent random vectors고미화대한수학회 · 대한수학회논문집2006 · 제21권 제4호

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