On limit theorems for random fields
Articles
Rimas Banys
Vilnius Gediminas Technical University
Published 2009-12-20
https://doi.org/10.15388/LMR.2009.03
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Keywords

Skorokhod toplogy
weak convergence
tightness
random fields

How to Cite

Banys, R. (2009) “On limit theorems for random fields”, Lietuvos matematikos rinkinys, 50(proc. LMS), pp. 18–23. doi:10.15388/LMR.2009.03.

Abstract

A complete separable metric space of functions defined on the positive quadrant of the plane is constructed. The characteristic property of these functions is that at every point x there exist two lines intersecting at this point such that limits limy→x f (y) exist when y approaches x along any path not intersecting these lines. A criterion of compactness of subsets of this space is obtained.

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