Article ID Journal Published Year Pages File Type
1153281 Statistics & Probability Letters 2008 6 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Statistics and Probability
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