Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1153281 | Statistics & Probability Letters | 2008 | 6 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Tae-Sung Kim, Mi-Hwa Ko, Yong-Kab Choi,