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Renewal ProcessesDiscrete Time Renewal Processes

Renewal Processes: Discrete Time Renewal Processes [In this chapter, we give a review of discrete renewal theory and prove the basic theorems for renewal sequences. We provide two different proofs of the theorem of Erdös-Feller-Pollard. Using extensions of a theorem of Wiener, we also obtain several rate of convergence results in discrete renewal theory.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Renewal ProcessesDiscrete Time Renewal Processes

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2014
ISBN
978-3-319-05854-2
Pages
53 –65
DOI
10.1007/978-3-319-05855-9_2
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter, we give a review of discrete renewal theory and prove the basic theorems for renewal sequences. We provide two different proofs of the theorem of Erdös-Feller-Pollard. Using extensions of a theorem of Wiener, we also obtain several rate of convergence results in discrete renewal theory.]

Published: Apr 24, 2014

Keywords: Discrete time; Renewal sequence; Erdös-Feller-Pollard theorem; Lifetime processes; Rate of convergence

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