Preliminaries

Sidney I. Resnick
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Sidney I. Resnick: Cornell University, School of Operations Research and Industrial Engineering

Chapter Chapter 1 in Adventures in Stochastic Processes, 2002, pp 1-59 from Springer

Abstract: Abstract THIS CHAPTER eases us into the subject with a review of some useful techniques for handling non-negative integer valued random variables and their distributions. These techniques are applied to some significant examples, namely, the simple random walk and ω process. Towards the end of the chapter stopping times are introduced and applied to obtain Wald’s identity and some facts about the random walk. The beginning student can skip the advanced discussion on sigma-fields and needs only a primitive understanding that sigma fields organize information within probability spaces.

Keywords: Random Walk; Mass Function; Random Element; Simple Random Walk; Beauty Sleep (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0387-2_1

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DOI: 10.1007/978-1-4612-0387-2_1

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