Skip to main content

Part of the book series: Springer Series in Information Sciences ((SSINF,volume 10))

  • 182 Accesses

Abstract

Estimating the probability law that gave rise to given data is one of the chief aims of statistics. Once known, its variance, confidence limits, and all other parameters describing fluctuation may be determined. There are two main schools of thought — the classical and the Bayesian — regarding what may be assumed while making the estimate. These guiding philosophies are discussed more generally in Chap. 16.

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 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. E. T. Jaynes: IEEE Trans. SSC-4 ,227 (1968)

    MATH  Google Scholar 

  2. E. L. Kosarev: Comput. Phys. Commun. 20, 69 (1980)

    Article  ADS  Google Scholar 

  3. J. MacQueen, J. Marschak: Proc. Natl. Acad. Sci. USA 72, 3819 (1975)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. R. Kikuchi, B. H. Soffer: J. Opt. Soc. Am. 67, 1656 (1977)

    Article  ADS  Google Scholar 

  5. J. P. Burg: “Maximum entropy spectral analysis,” 37th Annual Soc. Exploration Geophysicists Meeting, Oklahoma City, 1967

    Google Scholar 

  6. S. J. Wernecke, L. R. D’Addario: IEEE Trans. C-26, 352 (1977)

    Google Scholar 

  7. B. R. Frieden: Proc. IEEE 73, 1764 (1985)

    Article  Google Scholar 

  8. S. Goldman: Information Theory (Prentice-Hall, New York 1953)

    Google Scholar 

  9. A. Papoulis: Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York 1965)

    MATH  Google Scholar 

  10. D. Marcuse: Engineering Quantum Electrodynamics (Harcourt, Brace and World, New York 1970)

    Google Scholar 

  11. L. Mandel, E. Wolf: Rev. Mod. Phys. 37, 231 (1965)

    Article  MathSciNet  ADS  Google Scholar 

Additional Reading

  • Baierlein, R.: Atoms and Information Theory (Freeman, San Francisco 1971)

    Google Scholar 

  • Boyd, D. W., J. M. Steele: Ann. Statist. 6, 932 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  • Brillouin, L.: Science and Information Theory (Academic, New York 1962)

    MATH  Google Scholar 

  • Frieden, B. R.: Comp. Graph. Image Proc. 12, 40 (1980)

    Article  Google Scholar 

  • Kullbach, S.: Information Theory and Statistics (Wiley, New York 1959)

    Google Scholar 

  • Sklansky, J., G. N. Wassel: Pattern Classifiers and Trainable Machines (Springer, Berlin, Heidelberg, New York 1981)

    Book  MATH  Google Scholar 

  • Tapia, R. A., J. R. Thompson: Nonparametric Probability Density Estimation (Johns Hopkins University Press, Baltimore 1978)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Frieden, B.R. (1991). Estimating a Probability Law. In: Probability, Statistical Optics, and Data Testing. Springer Series in Information Sciences, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97289-8_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-97289-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53310-8

  • Online ISBN: 978-3-642-97289-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics