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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Casella, G., & Berger, R. L. (2001). Statistical inference (2nd ed.). Pacific Grove: Duxbury Press.
Davison, A. C. (2003). Statistical models. Cambridge: Cambridge University Press.
Edwards, A. W. F. (1992). Likelihood (2nd ed.). Baltimore: Johns Hopkins University Press.
Pawitan, Y. (2001). In all likelihood: statistical modelling and inference using likelihood. New York: Oxford University Press.
Rao, C. R. (1973). Wiley series in probability and mathematical statistics. Linear Statistical Inference and Its Applications. New York: Wiley.
Royall, R. M. (1997). Statistical evidence: a likelihood paradigm. London: Chapman & Hall/CRC.
Young, G. A., & Smith, R. L. (2005). Essentials of statistical inference. Cambridge: Cambridge University Press.
Author information
Authors and Affiliations
Rights 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
DOI: https://doi.org/10.1007/978-3-642-37887-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37886-7
Online ISBN: 978-3-642-37887-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)