ON THE INCREMENTS OF A d-DIMENSIONAL GAUSSIAN PROCESS

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LIN ZHENGYAN;HWANG KYO-SHIN

  • 발행 : 2005.11.01

초록

In this paper we establish some results on the increments of a d-dimensional Gaussian process with the usual Euclidean norm. In particular we obtain the law of iterated logarithm and the Book-Shore type theorem for the increments of ad-dimensional Gaussian process, via estimating upper bounds and lower bounds of large deviation probabilities on the suprema of the d-dimensional Gaussian process.

키워드

Gaussian process;increment;sample path behaviour

참고문헌

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피인용 문헌

  1. 1. Path properties of l p -valued Gaussian random fields vol.50, pp.10, 2007, doi:10.4134/JKMS.2005.42.6.1215