A moment inequality of the Marcinkiewicz-Zygmund type for some weakly dependent random fields
The goal of this note is to give a new moment inequality for sums of some weakly dependent random fields. Our result extends moment bounds given by Wu (2007) or Liu and Lin (2009) for causal autoregressive processes and follows by using recursive applications of the Burkhölder inequality for martingales.
Year of publication: |
2010
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Authors: | Truquet, Lionel |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 80.2010, 21-22, p. 1673-1679
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Publisher: |
Elsevier |
Keywords: | Random fields Weak dependence Moment inequalities |
Saved in:
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