A Functional Central Limit Theorem for Stationary Random Fields
Deo, Chandrakant M.
Ann. Probab., Tome 3 (1975) no. 6, p. 708-715 / Harvested from Project Euclid
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In this paper, the concept of $\varphi$-mixing is extended to random fields, and a central limit theorem analogous to Theorem 20.1 of Billingsley (Convergence of Probability Measures, Wiley (1968)) is obtained for stationary, $\varphi$-mixing random fields.
Publié le : 1975-08-14
Classification:  Stationary random fields,  central limit theorem,  invariance principle,  60G10,  60F05 
@article{1176996310,
     author = {Deo, Chandrakant M.},
     title = {A Functional Central Limit Theorem for Stationary Random Fields},
     journal = {Ann. Probab.},
     volume = {3},
     number = {6},
     year = {1975},
     pages = { 708-715},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996310}
}

Deo, Chandrakant M. A Functional Central Limit Theorem for Stationary Random Fields. Ann. Probab., Tome 3 (1975) no. 6, pp.  708-715. http://gdmltest.u-ga.fr/item/1176996310/