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Asymptotics for the Solutions to Defective Renewal Equations

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  • Kaiyong Wang
  • Yang Chen
  • Zhongquan Tan

Abstract

This paper investigates the defective renewal equations under the nonconvolution equivalent distribution class. The asymptotics of the solution to the defective renewal equations have been given for the heavy‐tailed and light‐tailed cases, respectively.

Suggested Citation

  • Kaiyong Wang & Yang Chen & Zhongquan Tan, 2014. "Asymptotics for the Solutions to Defective Renewal Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:732735
    DOI: 10.1155/2014/732735
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    References listed on IDEAS

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    1. Søren Asmussen & Serguei Foss & Dmitry Korshunov, 2003. "Asymptotics for Sums of Random Variables with Local Subexponential Behaviour," Journal of Theoretical Probability, Springer, vol. 16(2), pages 489-518, April.
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