Advertisement

Renewal Theory

  • Arjun K. Gupta
  • Wei-Bin Zeng
  • Yanhong Wu
Chapter

Abstract

The renewal theory plays a key role in many applied probability areas, such as replacement policies in reliability, ruin probability in insurance mathematics, and system analysis in queueing theory. In this chapter, we shall first introduce the renewal theorem and its extensions including the key renewal theorem. Then we shall study some extended renewal processes, such as the delayed renewal process and defective renewal process. Meanwhile, we study the properties of the renewal functions under some special underlying distribution function classes.

Keywords

Renewal Process Residual Life Interarrival Time Renewal Theory Renewal Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsBowling Green State UniversityBowling GreenUSA
  2. 2.Department of MathematicsUniversity of LouisvilleLouisvilleUSA
  3. 3.Department of MathematicsCalifornia State University StanislausTurlockUSA

Personalised recommendations