Continuity Properties for Random Fields
Kent, John T.
Ann. Probab., Tome 17 (1989) no. 4, p. 1432-1440 / Harvested from Project Euclid
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Consider a random field on $R^d, d \geq 1$. A simple condition is given on the covariance function which ensures the existence of a version of the random field in which the realizations are everywhere continuous. The proof involves a rather delicate approximation of the random field by interpolating polynomials of suitably high order.
Publié le : 1989-10-14
Classification:  Random field,  continuous realizations,  interpolating polynomials,  increment,  60G60,  60G17 
@article{1176991163,
     author = {Kent, John T.},
     title = {Continuity Properties for Random Fields},
     journal = {Ann. Probab.},
     volume = {17},
     number = {4},
     year = {1989},
     pages = { 1432-1440},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176991163}
}

Kent, John T. Continuity Properties for Random Fields. Ann. Probab., Tome 17 (1989) no. 4, pp.  1432-1440. http://gdmltest.u-ga.fr/item/1176991163/