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Laws of large numbers for periodically and almost periodically correlated processes

Author

Listed:
  • Cambanis, S.
  • Houdré, C.
  • Hurd, H.
  • Leskow, J.

Abstract

This paper gives results related to and including laws of large numbers for (possibly non-harmonizable) periodically and almost periodically correlated processes. These results admit periodically correlated processes that are not continuous in quadratic mean. The idea of a stationarizing random shift is used to show that strong law results for weakly stationary processes may be used to obtain strong law results for such processes.

Suggested Citation

  • Cambanis, S. & Houdré, C. & Hurd, H. & Leskow, J., 1994. "Laws of large numbers for periodically and almost periodically correlated processes," Stochastic Processes and their Applications, Elsevier, vol. 53(1), pages 37-54, September.
    • Handle: RePEc:eee:spapps:v:53:y:1994:i:1:p:37-54
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