논문KCI 등재
Strassen's functional LIL for $d$-dimensional self-similar Gaussian process in H\"older norm
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Abstract
In this paper, based on largedeviation probabilities on Gaussian random vectors, we obtainStrassen's functional LIL for d-dimensional self-similarGaussian process in H"older norm via estimating large deviationprobabilities for d-dimensional self-similar Gaussian process in H\"older norm.
참고문헌 (17)
- "and G. Kerkyacharian \paperLarge deviations and the Strassen theorem in H\"
- "\ref\key 3\by P. Baldi and B. Roynette \paper Some exactequivalent for the Brownian motion in H\"
- "\ref \key 4 \by B. Chen \paper Ph. D. Dissertation \jour Univ.Carleton of Canada"
- "\ref\key 5 \by Z. Ciesielek \paper Some properties of Schauderbasis of the space $C_", pp.141~
- "\ref\key 6 \bysame \paper On the isomorphism of the spaces$H_\alpha$ and $m$ \jour Bull. Polish Acad. Sci. Math.\vol 8 \yr1960 \pages no. 4", pp.217~
- "\ref\key7 \by V. Goodman and J. Kuelbs \paper Rate of clusteringfor some Gaussian self-similar processes \jour Probab. TheoryRelated Fields \vol 88 \yr 1991 \pages 47--75 \endref"
- "\ref\key 8 \by L. Gross \paper Lectures in modern analysis andapplications II \jour Lecture Notes in Math. Springer"
- "\ref\key 9 \by J. Kuelbs \paper The law of the iterated logarithmand related strong convergence theorems for Banach space valued random variables \jour Lecture Notes in Math. \vol 539 \yr 1976 \endref"
- "\ref\key 10 \bysame \paper A strong convergence theorem for Banach spacevalued random variables \jour Ann. Probab. \vol 4 \yr 1976 \pages744--771 \endref"
- "and Q. M. Shao \paper Smallball probabilities for Gaussian processes with stationaryincrements under H\", 8(2), pp.361~386
- "\ref\key 13 \by D. Monrad and H. Rootz\'en \paper Small values ofGaussian processes and functional laws of the iterated logarithm\jour Probab. Theory Related Fields \vol 101 \yr 1995 \pages 173--192 \endref", 101, pp.173~192 (1995)
- "\ref \key14 \by H. Oodaira \paper On Strassen's version of the law of theiterated for Gaussian processes \jour Z. Wahrsch. verw. Gebiete\vol 21 \yr 1972 \pages 289--299 \endref"
- "\ref\key 15 \by J. Ortega \paper On the size of the increments ofnon-stationary Gaussian processes \jour Stochastic Process Appl.\vol 18 \yr 1984 \pages 47--56 \endref"
- "\ref\key 16 \by V. Strassen \paper An invariance principle for thelaw of the iterated logarithm \jour Z. Wahrsch. verw. Gebiete \vol3 \yr 1964 \pages 211--226 \endref"
- "\ref\key17 \by W. S. Wang \paper On a functional limit results forincrements of a fractional Brownian motion \jour Acta Math.Hungar. \vol 93 \yr 2001 \pages no. 1--2", 93(1-2), pp.157~170 (2001)
- "\ref\key 18 \bysame \paper Functional limit theorems forincrements of Gaussian samples \jour J. Theoret. Probab. \vol 18\yr 2005\pages no. 2", 18, pp.327~343 (2005)
- older norm\jour Acta Math. Sinica, "\ref \key 19 \by Q. Wei \paper Functional limit theorems for C-Rincrements of $k$-dimensional Brownian motion in H\", 16(4), pp.637~654 (2000)
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