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A Mixed Limit Theorem for Stable Random Fields

✍ Scribed by T.V. Kurien; J. Sethuraman

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 335 KB
Volume: 47
Category: Article
ISSN: 0047-259X
DOI: 10.1006/jmva.1993.1076

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✦ Synopsis

A mixed distributional limit theorem for a stable random field of index (0<\alpha<2) is derived. These random fields are of special interest in pattern analysis, in particular, in pattern synthesis. This paper considers the case when the underlying graph that the random field is defined on is linear. This result is encouraging insofar as it shows that the mixed limit theorems do exist in the stable case. The final limiting distribution can be written in terms of the stable process of index (\alpha) in (D[0,1] . \quad 1993) Academic Press, Inc.

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