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Functional central limit theorems for approximate Martingale arrays in a locally compact Abelian group |
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| Authors: | Michael S. Bingham |
| Affiliation: | (1) Department of Statistics, University of Hull, HU6 7RX Hull, England |
| Abstract: | This paper uses a Martingale-like approach and establishes, among other things, the existence of continuous Gaussian processes with independent increments on those locally compact Abelian groups whose duals support corresponding continuous nonnegative quadratic forms. |
| Keywords: | Continuous Gaussian processes Martingales locally compact Abelian group nonnegative quadratic forms functional central limit theorems |
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