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An asymptotic problem in renewal theory

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  • M. S. Klamkin
  • J. H. van Lint

Abstract

A special problem in renewal theory is considered. The asymptotic behavior of the renewal function was studied by W. L. Smith. Here we show that his result with an exponentially small remainder term follows from a theorem of De Bruijn on Volterra integral equations.

Suggested Citation

  • M. S. Klamkin & J. H. van Lint, 1972. "An asymptotic problem in renewal theory," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 26(3), pages 191-196, September.
    • Handle: RePEc:bla:stanee:v:26:y:1972:i:3:p:191-196
    DOI: 10.1111/j.1467-9574.1972.tb00188.x
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