The invariance principle for linear multi-parameter stochastic processes generated by associated fields

Tae-Sung Kim, Mi-Hwa Ko and Yong-Kab Choi

Statistics & Probability Letters, 2008, vol. 78, issue 18, 3298-3303

Abstract: We derive the invariance principle for the linear random field generated by identically distributed and associated random fields. Our result extends the result in Bulinski and Keane [Bulinski, A.V., Keane, M.S., 1996. Invariance principle for associated random fields. J. Math. Sci. 81, 2905-2911.] to the linear random field in the identically distributed case as well as the result in Marinucci and Poghosyan [Marinucci, M., Poghosyan, S., 2001. Asymptotics for linear random fields. Probab. Lett. 51, 131-141.] to the associated case.

Date: 2008
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