Convergence rates in the central limit theorem for weighted sums of Bernoulli random fields
Volume 6, Issue 2 (2019), pp. 251–267
Pub. online: 21 December 2018
Type: Research Article
Open Access
Open Access
Received
20 December 2017
20 December 2017
Revised
19 October 2018
19 October 2018
Accepted
20 October 2018
20 October 2018
Published
21 December 2018
21 December 2018
Abstract
Moment inequalities for a class of functionals of i.i.d. random fields are proved. Then rates are derived in the central limit theorem for weighted sums of such randoms fields via an approximation by m-dependent random fields.
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