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Perturbed Random Walks

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Abstract

Renewal theory can be generalized in various ways. The first generalization is to leave the assumption of nonnegativity of the summands. This topic was covered in Chapter 3 and onwards. The next one was considered in Section 4.5, namely “time dependent” boundaries. Since the appearance of the first edition of this book in 1988 research in the area has moved on. In this chapter we present some of the post-1988 development.

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Correspondence to Allan Gut .

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Gut, A. (2009). Perturbed Random Walks. In: Stopped Random Walks. Springer Series in Operations Research and Financial Engineering. Springer, New York, NY. https://doi.org/10.1007/978-0-387-87835-5_6

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