On a CLT for Gibbs fields and its functional version

Alberto L. Maltz and Jorge D. Samur

Statistics & Probability Letters, 2003, vol. 64, issue 3, 323-333

Abstract: A uniform CLT on rectangles is proved for functions of mixing random fields. This gives a functional version of a CLT of Künsch for Gibbs fields, which in turn is somewhat improved. Some examples in this subject are given.

Keywords: Random; fields; on; integer; lattice; Partial-sums; process; Continuous; Wiener; process; Uniform; central; limit; theorem; Nonuniform; [phi]-mixing; Gibbs; measure (search for similar items in EconPapers)
Date: 2003
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