In this paper we consider two functional limit theorems for the non-linear functional of the stationary Gaussian process satisfying short range dependence conditions: the functional CLT for partial sum processes and the uniform CLT for a special class of functions. To carry out the proofs, we develo
β¦ LIBER β¦
Central limit theorems for extreme Sojourns of stationary Gaussian processes
β Scribed by Simeon M. Berman
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 459 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0010-3640
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## Abstract Stochastic geometry models based on a stationary Poisson point process of compact subsets of the Euclidean space are examined. Random measures on β^__d__^, derived from these processes using Hausdorff and projection measures are studied. The central limit theorem is formulated in a way