Skip to main content

Statistical Relationships

  • Chapter
  • 149 Accesses

Abstract

A statistical relationship exists between states if one state influences the frequencies of occurrences of the other state. The statistical relationship is described either by joint or by conditional frequencies of occurrences of potential forms of states (see (4.1.24) to (4.1.26)). If the states exhibit statistical regularities, the statistical relationship is described by joint or conditional probability distributions (see (4.4.7) and (4.4.8)).

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Papoulis, R., Probability, Random Variables, and Stochastic Processes, McGraw-Hill, NY, 1991.

    Google Scholar 

  2. Breiman, L., Probability, SIAM Publications, Philadelphia, 1995.

    Google Scholar 

  3. Abramson, N., Information Theory and Coding, McGraw-Hill, NY, 1963.

    Google Scholar 

  4. Cover, T.M., Thomas J.,A., Elements of Information Theory, J. Wiley, NY, 1991.

    MATH  Google Scholar 

  5. Blahut, R.E., Principles and Practice in Information Theory, Addison-Wesley, Reading, MA, 1990.

    Google Scholar 

  6. Seidler, J.A., Bounds on the Mean-Square Error and the Quality of Domain Decisions Based on Mutual Information, IEEE Trans. on Info. Theory, vol IT-17, 1971 pp.655–665.

    Article  Google Scholar 

  7. Larsen, R.J., Marx M.L, An introduction to Mathematical Statistics and Its Applications, 2-nd ed., Prentice Hall, Englewood Cliffs, 1986.

    MATH  Google Scholar 

  8. Bahara, M., Additive and Nonadditive Measures of Entropy, J.Wiley, NY, 1990.

    Google Scholar 

  9. Helstrom, C.W., Probability and Stochastic Processes for Engineers, MacMillan, NY, 1984.

    Google Scholar 

  10. Parzen E., Stochastic Processes, Holden Day, San Francisco, 1962.

    MATH  Google Scholar 

  11. Shanmugan, K.S., Breipohl A.M., Random Signals, J. Wiley, NY, 1988.

    Google Scholar 

  12. Blanc-Lapierre, B., Fortet R., Theory of Random Functions, vol 1,2 Gordon and Breach, NY, 1967.

    MATH  Google Scholar 

  13. Kleinrock, L., Queuing Systems, vol 1,2, J. Wiley, NY, 1975.

    Google Scholar 

  14. Press, W.H., Flannery, B.P., Teukolsy, S.A., Vetterling, W.T., Numerical Recipes, Cambridge University Press, Cambridge, 1992.

    Google Scholar 

  15. Matlab, Users Guide, The Math Works, Inc., Natick, MA, 1991; Matlab is a registred trade mark of The Math Works, Inc., Natick, MA.

    Google Scholar 

  16. Wolfram, S., Mathematica, Addison-Wesley, Redwood CA, 1991.

    Google Scholar 

  17. Dagpunar, J., Principles of Random Variate Generation, Clarendon Press, Oxford, 1988.

    MATH  Google Scholar 

  18. Niederreiter, H., Random Number Generation and Quasi-Monte Carlo Methods, SIAM Publications, Philadelphia, 1992.

    MATH  Google Scholar 

  19. Grandshteyn, I.S., Ryzhik I.M., Tables of Integrals, Series, and Products, Academic Press, NY, 1965.

    Google Scholar 

  20. Proakis, J.G., Digital Communications, 2-nd ed., McGraw-Hill, NY, 1989.

    Google Scholar 

  21. Edwards, A.W.F., Likelihood, Cambridge University Press, Cambridge, 1972.

    MATH  Google Scholar 

  22. Klir, G.J., Folger, T.A., Fuzzy sets, Uncertainty and Information, Prentice Hall, NY, 1988.

    MATH  Google Scholar 

  23. Zimmermann, H.J., Fuzzy Set Theory, Kluwer Academic Publishers, Boston, 1991.

    MATH  Google Scholar 

  24. Shafer, G., Pearl, J., Readings in uncertain reasoning, Morgan Kaufman Publ., San Mateo CA, 1990.

    MATH  Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Kluwer Academic Publishers

About this chapter

Cite this chapter

(1997). Statistical Relationships. In: Information Systems and Data Compression. Springer, Boston, MA. https://doi.org/10.1007/978-0-585-27999-2_5

Download citation

  • DOI: https://doi.org/10.1007/978-0-585-27999-2_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-9953-7

  • Online ISBN: 978-0-585-27999-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics