Renewal Processes and Random Walks

  • Allan Gut
Part of the Applied Probability book series (APPLIEDPROB, volume 5)


In the first chapter we stated and proved various limit theorems for stopped random walks. These limit theorems shall, in subsequent chapters, be used in order to obtain results for random walks stopped according to specific stopping procedures as well as for the families of stopping times (random indices) themselves. However, before doing so we shall, in this chapter, survey some of the basic facts about random walks.


Random Walk Renewal Process Simple Random Walk Residual Lifetime Renewal Theory 
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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • Allan Gut
    • 1
  1. 1.Department of MathematicsUppsala UniversityUppsalaSweden

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