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Generalized Fibonacci numbers and Blackwell’s renewal theorem


  • Christensen, Sören


We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell’s renewal theorem we find an approximation to the generalized Fibonacci numbers. With the help of error estimates in the renewal theorem we figure out an explicit representation.

Suggested Citation

  • Christensen, Sören, 2012. "Generalized Fibonacci numbers and Blackwell’s renewal theorem," Statistics & Probability Letters, Elsevier, vol. 82(9), pages 1665-1668.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:9:p:1665-1668
    DOI: 10.1016/j.spl.2012.05.003

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    Cited by:

    1. Berenhaut, Kenneth S. & Bzdelik, Courtney R. & Merlet, Jean J., 2013. "Generalizations of a result of Christensen on renewal sequences and linear recurrences," Statistics & Probability Letters, Elsevier, vol. 83(11), pages 2544-2548.


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