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Review Article

The generalizations of strong law of large numbers for asymptotic even–odd Markov chains indexed by a homogeneous tree

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Pages 9415-9424 | Received 20 Jan 2016, Accepted 29 Jun 2016, Published online: 07 Jun 2017

References

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  • Dang, H., Yang, W.G., Shi, Z.Y. (2015). The strong law of large numbers and the entropy ergodic theorem for nonhomogeneous bifurcating Markov chains indexed by a binary tree. IEEE Trans. Inform. Theory 61:1640–1648.
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  • Yang, W.G., Zhao, Y., Pan, H. (2014). Strong laws of large numbers for asymptotic even-odd Markov chains indexed by a homogeneous tree. J. Math. Anal. Appl. 410:179–189.
  • Yang, W.G., Ye, Z. (2007). The asymptotic equipartition property for nonhomogeneous Markov chains indexed by a homogeneous tree. IEEE Trans. Inform. Theory 53:3275–3280.

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