Skip to main content

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 116))

  • 1120 Accesses

Abstract

The strong deviation theorems is one of the central questions for studying in the International Probability theory. In this paper, a strong deviation theorem for Markov chains functional indexed by a non-homogeneous tree were obtained by constructing a non-negative martingale.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Jin, S.-H., Lu, J.-G., Wang, N., Jiang, H.-H.: A class of Strong Deviation Theorems for the Sequence of arbitrary Integer-Valued Random Variables. In: Proceedings of the second International conference on Information and computing Science, pp. 193–195. IEEE CS (2009)

    Google Scholar 

  2. Liu, W., Yang, W.: The Markov approximation of the sequences of N—Valued variables and a class of small deviation theorems. Stochastic Process. Appl. (1), 117–130 (2000)

    Article  Google Scholar 

  3. Doob, J.L.: Stochastic Processes. Wiley, New York (1953)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jin, S., Zhang, Y., Wan, Y., Li, N., Zhang, H. (2012). A Strong Deviation Theorem for Markov Chains Functional Indexed by a Non-homogeneous Tree. In: Wu, Y. (eds) Advanced Technology in Teaching - Proceedings of the 2009 3rd International Conference on Teaching and Computational Science (WTCS 2009). Advances in Intelligent and Soft Computing, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11276-8_44

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-11276-8_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11275-1

  • Online ISBN: 978-3-642-11276-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics