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Using Renewal Processes to Generate Long-Range Dependence and High Variability

  • Murad S. Taqqu
  • Joshua B. Levy
Chapter
Part of the Progress in Probability and Statistics book series (PRPR, volume 11)

Abstract

We explore here three types of convergence theorems involving the normalized partial sums of two random processes W = W(t) and V = V(t) indexed by the integers t = ...,−1, 0.1,... . W(t) is a stationary renewal reward process with large inter-renewal intervals, while V(t) is a non-stationary process that takes the value zero except at some rare instants t where it achieves extremely high values.

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References

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Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • Murad S. Taqqu
    • 1
  • Joshua B. Levy
    • 2
  1. 1.Department of MathematicsBoston UniversityBostonUSA
  2. 2.School of BusinessState University of New YorkAlbanyUSA

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