Skip to main content

Abstract

Chapter 2 introduces the fundamental notion of the likelihood function and related quantities, such as the maximum likelihood estimate, the score function, and Fisher information. Computational algorithms are treated to compute the maximum likelihood estimate, such as optimization and the EM algorithm. The concept of sufficiency and the likelihood principle are finally discussed in some detail. Exercises are given at the end.

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 54.99
Price excludes VAT (USA)
  • Available as EPUB and 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

References

  • Casella, G., & Berger, R. L. (2001). Statistical inference (2nd ed.). Pacific Grove: Duxbury Press.

    Google Scholar 

  • Davison, A. C. (2003). Statistical models. Cambridge: Cambridge University Press.

    Google Scholar 

  • Edwards, A. W. F. (1992). Likelihood (2nd ed.). Baltimore: Johns Hopkins University Press.

    Google Scholar 

  • Pawitan, Y. (2001). In all likelihood: statistical modelling and inference using likelihood. New York: Oxford University Press.

    Google Scholar 

  • Rao, C. R. (1973). Wiley series in probability and mathematical statistics. Linear Statistical Inference and Its Applications. New York: Wiley.

    Google Scholar 

  • Royall, R. M. (1997). Statistical evidence: a likelihood paradigm. London: Chapman & Hall/CRC.

    Google Scholar 

  • Young, G. A., & Smith, R. L. (2005). Essentials of statistical inference. Cambridge: Cambridge University Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Held, L., Sabanés Bové, D. (2014). Likelihood. In: Applied Statistical Inference. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37887-4_2

Download citation

Publish with us

Policies and ethics