Central limit theorems for associated random fields with applications Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/8w32r991r

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  • A functional central limit theorem for a strictly stationary associated random field in the general d-dimension case with an added moment condition is proven. Functional central limit theorems for associated random measures are also proven. More specifically, conditions are given that imply weak convergence in the Skorohod topology of a renormalized random measure to the d-dimensional Wiener process. These results are applied to show new functional central limit theorems for doubly stochastic point random fields and Poisson cluster random measures.
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