Central limit theorems for associated random fields with applications
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 con...
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| Language: | en_US |
| Published: |
2010
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| Online Access: | http://hdl.handle.net/1957/16733 |
| Summary: | 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. === Graduation date: 1986 |
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