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Autoregressive processes and first-hit probabilities for randomized random walks

We find the first-hit distributions of symmetric randomized random walks on ℝ with exponential lifetime using prediction formulas for Gaussian stationary autoregressive processes, associated with the random walks.

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Bibliographic Details
Published in:Journal of applied probability 1991-06, Vol.28 (2), p.347-359
Main Author: Feldman, Raisa Epstein
Format: Article
Language:English
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Description
Summary:We find the first-hit distributions of symmetric randomized random walks on ℝ with exponential lifetime using prediction formulas for Gaussian stationary autoregressive processes, associated with the random walks.
ISSN:0021-9002
1475-6072
DOI:10.1017/S0021900200039735