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On the central limit theorem for stationary random fields under L 1 -projective condition

Abstract : The first aim of this paper is to wonder to what extent we can generalize the central limit theorem of Gordin [5] under the so-called L 1-projective criteria to ergodic stationary random fields when completely commuting filtrations are considered. Surprisingly it appears that this result cannot be extended to its full generality and that an additional condition is needed.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03529614
Contributor : Dalibor Volny Connect in order to contact the contributor
Submitted on : Monday, January 17, 2022 - 3:28:11 PM
Last modification on : Wednesday, May 25, 2022 - 10:40:04 AM

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  • HAL Id : hal-03529614, version 1
  • ARXIV : 2201.06798

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Han-Mai Lin, Florence Merlevède, Dalibor Volný. On the central limit theorem for stationary random fields under L 1 -projective condition. 2022. ⟨hal-03529614⟩

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