Almost sure convergence analysis of mixed time averages and kth-order cyclic statistics

  • Authors:

  • Hongwei Li;Qiansheng Cheng

  • Affiliations:

  • Dept. of Inf. Sci., Peking Univ., Beijing;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

The strong law of large numbers for general processes is established under certain conditions and the convergence rate of time averages is given. These results are used to obtain the convergence rates and the almost sure convergence properties of mixed time averages and kth-order cyclic statistics