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A Central Limit Theorem for the Linear Process in a Hilbert Space under Negative Association

  • Ko, Mi-Hwa (Department of Mathematics and Institute of Basic Natural Science, WonKwang University)
  • 발행 : 2009.07.31

초록

We prove a central limit theorem for the negatively associated random variables in a Hilbert space and extend this result to the linear process generated by negatively associated random variables in a Hilbert space. Our result implies an extension of the central limit theorem for the linear process in a real space under negative association to a simplest case of infinite dimensional Hilbert space.

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참고문헌

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피인용 문헌

  1. A STRONG LAW OF LARGE NUMBERS FOR AANA RANDOM VARIABLES IN A HILBERT SPACE AND ITS APPLICATION vol.32, pp.1, 2010, https://doi.org/10.5831/HMJ.2010.32.1.091