Some Results in the Theory of Stochastic Processes.
NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS
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Consider a stochastic process xt, t belongs to T of random elements of a Hilbert space H, whose index set is a locally compact Hausdorff space. The results obtained in this work fall into two broad categories, first the study of weakly stationary processes and their representations, and secondly the study of the sample path properties of not necessarily stationary processes. In each case, the author chooses the index set T and the Hilbert space H to be spaces appropriate to the investigation in hand. Modified author abstract
- Statistics and Probability