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SIZE DISTRIBUTION OF ONE CONNECTED COMPONENT OF ELLIPTIC RANDOM FIELD  

Alodat, M.T. (Department of Statistics, Yarmouk University)
Publication Information
Journal of the Korean Statistical Society / v.36, no.4, 2007 , pp. 479-488 More about this Journal
Abstract
The elliptic random field is an extension to the Gaussian random field. We proved a theorem which characterizes the elliptic random field. We proposed a heuristic approach to derive an approximation to the distribution of the size of one connected component of its excursion set above a high threshold. We used this approximation to approximate the distribution of the largest cluster size. We used simulation to compare the approximation with the exact distribution.
Keywords
Connected component; elliptic random field; Euler characteristic; excursion set;
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